Matheon-Siegel AFEM HU-Siegel
Numerische Analysis
Prof. C. Carstensen
2017 (in print)
P. Bringmann, C. Carstensen, E. J. Park:
Convergence of Natural Adaptive Least-Squares Finite Element Methods,
Numer. Math., 2017 (in print). [bibtex]
P. Bringmann, C. Carstensen:
h-Adaptive Least-Squares Finite Element Method for the 2D Stokes Equations of any Order with Optimal Convergence Rates,
Computers and Mathematics with Appications, 2017 (in print). [bibtex]
2017
C. Carstensen, K. Köhler:
Nonconforming FEM for the obstacle problem,
IMA J. Numer. Anal., volume 37, 2017. [full text] [bibtex] [doi]
P. Bringmann, C. Carstensen:
An adaptive least-squares FEM for the Stokes equations with optimal convergence rates
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Numer. Math., volume 135, 2017. [full text] [bibtex] [pdf] [doi]
2016 (submitted)
C. Carstensen, H. Rabus:
Axioms of adaptivity for separate marking,
arXiv:1606.02165, 2016 (submitted). [full text] [bibtex]
2016 (published online)
C. Carstensen, F. Hellwig:
Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity,
SIAM J. Numer. Math., 2016 (published online). [bibtex] [doi]
C. Carstensen, F. Ebobisse, A. T. McBride, B. D. Reddy, P. Steinmann:
Some properties of the dissipative model of strain-gradient plasticity
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Philosophical Magazine, 2016 (published online). [bibtex] [pdf] [doi]
P. Bringmann, C. Carstensen, D. Gallistl, F. Hellwig, D. Peterseim, S. Puttkammer, H. Rabus, J. Storn:
Towards adaptive discontinuous Petrov-Galerkin methods,
Proc. in Appl. Math. and Mech., 2016 (published online). [bibtex] [doi]
2016 (in print)
C. Carstensen, K. Köhler:
Efficient discrete Lagrange multipliers in three first-order finite element discretizations for the a posteriori error control in an obstacle problem,
SIAM J Numer Anal., 2016 (in print). [bibtex]
2016
C. Carstensen, J. Gedicke:
Robust residual-based a posteriori Arnold--Winther mixed finite element analysis in elasticity,
Comput. Methods Appl. Mech. Engrg., volume 300, 2016. [full text] [bibtex] [doi]
C. Carstensen, A. Schröder, S. Wiedemann:
An optimal adaptive finite element method for elastoplasticity,
Numer. Math., volume 132, 2016. [full text] [bibtex] [doi]
C. Carstensen, D. Peterseim, A. Schröder:
The norm of a discretized gradient in $H(\mathrmdiv)^*$ for a posteriori finite element error analysis,
Numer. Math., volume 132, 2016. [full text] [bibtex] [doi]
C. Carstensen, B. D. Reddy, M. Schedensack:
A natural nonconforming FEM for the Bingham flow problem is quasi-optimal,
Numer. Math., volume 133, 2016. [full text] [bibtex] [doi]
C. Carstensen, D. Gallistl, M. Schedensack:
$L^2$ best approximation of the elastic stress in the Arnold-Winther FEM,
IMA J. Numer. Anal., volume 36, 2016. [bibtex] [doi]
C. Carstensen, D. Gallistl, J. Gedicke:
Justification of the saturation assumption,
Numer. Math., volume 134, 2016. [full text] [bibtex] [doi]
C. Carstensen, L. Demkowicz, J. Gopalakrishnan:
Breaking spaces and forms for the DPG method and applications including Maxwell equations
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Comput. Math. Appl., volume 72, 2016. [full text] [bibtex] [pdf] [doi]
Carsten Carstensen, Neela Nataraj, Amiya K. Pani:
Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem,
IMA J. Numer. Anal., volume 36, 2016. [bibtex] [doi]
C. Carstensen, A. K. Dond, N. Nataraj, A. K. Pani:
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems.,
Numer. Math., Springer, Berlin/Heidelberg, volume 133, 2016. [full text] [bibtex] [doi]
P. Bringmann, C. Carstensen, C. Merdon:
Guaranteed velocity error control for the pseudostress approximation of the Stokes equations
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Numer. Methods Partial Differential Equations, volume 32, 2016. [full text] [bibtex] [pdf] [doi]
2015 (published online)
J. M. Ball, C. Carstensen:
Geometry of polycrystals and microstructure,
MATEC Web of Conferences, volume 33, 2015 (published online). [full text] [bibtex] [doi]
2015
C. Carstensen, D. Gallistl, M. Schedensack:
Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems,
Math. Comp., volume 84, 2015. [full text] [bibtex] [doi]
C. Carstensen, M. Schedensack:
Medius analysis and comparison results for first-order finite element methods in linear elasticity,
IMA J. Numer. Anal., volume 35, 2015. [full text] [bibtex] [doi]
P. R. Bösing, C. Carstensen:
Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable,
Numer. Math., volume 130, 2015. [full text] [bibtex] [doi]
P. R. Bösing, C. Carstensen:
Discontinuous Galerkin with weakly over-penalized techniques for Reissner-Mindlin plates,
Journal of Scientific Computing, volume 64, 2015. [full text] [bibtex] [doi]
C. Carstensen, K. Köhler, D. Peterseim, M. Schedensack:
Comparison results for the Stokes equations,
Appl. Numer. Math., volume 95, 2015. [full text] [bibtex] [doi]
C. Carstensen, D. J. Liu:
Nonconforming FEMs for an optimal design problem,
SIAM J. Numer. Anal., volume 53, 2015. [full text] [bibtex] [doi]
C. Carstensen, J. Hu:
An optimal adaptive finite element method for an obstacle problem,
Comput. Methods Appl. Math., volume 15, 2015. [bibtex]
C. Carstensen, D. Gallistl, B. Kraemer:
Numerical Algorithms for the Simulation of Finite Plasticity with Microstructures,
Chapter in Analysis and Computation of Microstructure in Finite Plasticity, Springer, 2015. [bibtex]
C. Carstensen, D. Gallistl, N. Nataraj:
Comparison results of nonstandard $P_2$ finite element methods for the biharmonic problem,
ESAIM Math. Model. Numer. Anal., 2015. [bibtex] [doi]
C. Carstensen, G. Dolzmann:
Convergence of adaptive finite element methods for a nonconvex double-well minimisation problem,
Math. Comp., volume 84, 2015. [full text] [bibtex] [doi]
C. Carstensen, E.-J. Park:
Convergence and optimality of adaptive Least Squares Finite Element Methods,
SIAM J. Numer. Anal., volume 53, 2015. [full text] [bibtex] [doi]
2014
C. Carstensen, C. Merdon:
Refined fully explicit a posteriori residual-based error control,
SIAM J. Numer. Anal., volume 52, 2014. [full text] [bibtex]
C. Carstensen, J. Gedicke:
Guaranteed lower bounds for eigenvalues,
Math. Comp., volume 83, 2014. [full text] [bibtex]
C. Carstensen, L. Demkowicz, J. Gopalakrishnan:
A posteriori error control for DPG methods,
SIAM J. Numer. Anal., volume 52, 2014. [full text] [bibtex] [doi]
C. Carstensen, M. Feischl, D. Praetorius:
Rate Optimality of Adaptive Algorithms,
ECCOMAS, 2014. [full text] [bibtex]
C. Carstensen, D. Gallistl, F. Hellwig, L. Weggler:
Low-order dPG-FEM for an elliptic PDE,
Comput. Math. Appl., volume 68, 2014. [full text] [bibtex] [doi]
C. Carstensen, D. Gallistl, J. Hu:
A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes,
Comput. Math. Appl., volume 68, 2014. [full text] [bibtex] [doi]
W. Boiger, C. Carstensen:
A posteriori error analysis of stabilised FEM for degenerate convex minimisation problems under weak regularity assumptions
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Advanced Modeling and Simulation in Engineering Sciences, volume 1, 2014. [full text] [bibtex] [pdf] [doi]
C. Carstensen, C. Merdon:
Computational survey on a posteriori error estimators for the Crouzeix-Raviart nonconforming finite element method for the Stokes problem
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Comput. Methods Appl. Math., volume 14, 2014. [full text] [bibtex] [pdf] [doi]
J. Gedicke, C. Carstensen:
A posteriori error estimators for convection--diffusion eigenvalue problems
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Comput. Methods Appl. Mech. Engrg., volume 268, 2014. [full text] [bibtex] [pdf] [doi]
C. Carstensen, J. Gedicke, V. Mehrmann, A. Miedlar:
An Adaptive Finite Element Method with Asymptotic Saturation for Eigenvalue Problems
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Numer. Math., 2014. [full text] [bibtex] [pdf] [doi]
C. Carstensen, M. Feischl, M. Page, D. Praetorius:
Axioms of adaptivity
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Comput. Methods Appl. Math., volume 67, 2014. [full text] [bibtex] [pdf] [doi]
C. Carstensen, D. Gallistl:
Guaranteed lower eigenvalue bounds for the biharmonic equation,
Numer. Math., volume 126, 2014. [full text] [bibtex] [doi]
2013
C. Carstensen, C. Merdon, J. Neumann:
Aspects of Guaranteed Error Control in CPDEs,
In Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications, Springer New York, volume 45, 2013. [full text] [bibtex]
C. Carstensen, C. Merdon:
A posteriori error estimator competition for conforming obstacle problems
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Numer. Methods Partial Differential Equations, volume 29, 2013. [full text] [bibtex] [pdf] [doi]
C. Carstensen:
A note on matrix methods for location of the zeros of polynomials,
Facta Univ. Ser. Math. Inform., volume 28, 2013. [full text] [bibtex] [doi]
C. Carstensen, D. Peterseim, H. Rabus:
Optimal Adaptive Nonconforming FEM for the Stokes Problem,
Numer. Math., volume 123, 2013. [full text] [bibtex]
C. Carstensen, D. Gallistl, J. Hu:
A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles
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Numer. Math., volume 124, 2013. [full text] [bibtex] [pdf] [doi]
D. Peterseim, C. Carstensen:
Finite element network approximation of conductivity in particle composites
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Numer. Math., volume 124, 2013. [full text] [bibtex] [pdf] [doi]
C. Carstensen, C. Merdon:
Effective postprocessing for equilibration a posteriori error estimators
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Numer. Math., volume 123, 2013. [full text] [bibtex] [pdf] [doi]
C. Carstensen, C. Merdon:
Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem,
J. Comput. Appl. Math., volume 249, 2013. [full text] [bibtex]
C. Carstensen, D. Gallistl, M. Schedensack:
Quasi-optimal adaptive pseudostress approximation of the Stokes Equations
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SIAM J. Numer. Anal., volume 51, 2013. [full text] [bibtex] [pdf] [doi]
C. Carstensen, D. Gallistl, M. Schedensack:
Discrete Reliability for Crouzeix-Raviart FEMs
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SIAM J. Numer. Anal., volume 51, 2013. [full text] [bibtex] [pdf] [doi]
2012
C. Carstensen, D. Praetorius:
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy
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J. Numer. Math., volume 20, 2012. [bibtex] [pdf] [doi]
R. Altmann, C. Carstensen:
$P_1$-nonconforming finite elements on triangulations into triangles and quadrilaterals
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SIAM J. Numer. Anal., volume 50, 2012. [bibtex] [pdf] [doi]
C. Carstensen, D. Peterseim, M. Schedensack:
Comparison Results of Finite Element Methods for the Poisson Model Problem
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SIAM J. Numer. Anal., volume 50, 2012. [full text] [bibtex] [pdf] [doi]
C. Carstensen, J. Gedicke, D. Rim:
Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods
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J. Comput. Math., volume 30, 2012. [full text] [bibtex] [pdf] [doi]
C. Carstensen, J. Gedicke, E.-J. Park:
Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem
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SIAM J. Sci. Comput., volume 34, 2012. [bibtex] [pdf] [doi]
C. Carstensen, J. Gedicke:
An adaptive finite element eigenvalue solver of asymptotic quasi-optimal computational complexity
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SIAM J. Numer. Anal., volume 50, 2012. (SIAM Student Paper Price 2013) [bibtex] [pdf] [doi]
C. Carstensen, D. Praetorius:
Convergence of adaptive boundary element methods
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J. Integral Equations Appl., volume 24, 2012. [bibtex] [pdf] [doi]
C. Carstensen, H. Rabus:
The adaptive nonconforming FEM for the pure displacement Problem in linear Elasticity is optimal and robust,
SIAM J. Numer. Anal., volume 50, 2012. [bibtex]
C. Carstensen, M. Eigel, R. H. W. Hoppe, C. Löbhard:
A review of unified a posteriori finite element error control,
Numer. Math. Theory Methods Appl., volume 5, 2012. [bibtex] [doi]
C. Carstensen, D. Günther, H. Rabus:
Mixed finite element method for a degenerate convex variational problem from topology optimization,
SIAM J. Numer. Anal., volume 50, 2012. [full text] [bibtex]
2011
C. Carstensen, H. Rabus:
An optimal adaptive mixed finite element method,
Math. Comp., volume 80, 2011. [bibtex]
C. Carstensen, E.-J. Park, D. Kim:
A priori and a posteriori pseudostress-velocity mixed finite element error analysis for the Stokes problem,
SIAM J. Numer. Anal., volume 49, 2011. [full text] [bibtex]
C. Carstensen, M. Eigel, J. Gedicke:
Computational competition of symmetric mixed FEM in linear elasticity
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Comput. Methods Appl. Mech. Engrg., volume 200, 2011. [full text] [bibtex] [pdf] [doi]
C. Carstensen, J. Gedicke:
An oscillation-free adaptive FEM for symmetric eigenvalue problems
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Numer. Math., volume 118, 2011. [full text] [bibtex] [pdf] [doi]
C. Carstensen, C. Merdon:
Remarks on the state of the art of a posteriori error control of elliptic PDEs in energy norms in practise,
Stud. Univ. Babe\c s-Bolyai Math., volume 56, 2011. [full text] [bibtex]
G. Yu, X. Xie, C. Carstensen:
Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
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Comput. Methods Appl. Mech. Engrg., volume 200, 2011. [bibtex] [pdf] [doi]
C. Carstensen, R. H. W. Hoppe, N. Sharma, T. Warburton:
Adaptive hybridized interior penalty discontinuous Galerkin methods for H(curl)-elliptic problems
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Numer. Math. Theory Methods Appl., volume 4, 2011. [bibtex] [pdf] [doi]
C. Carstensen, X. Xie, G. Yu, T. Zhou:
A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner Mindlin plates,
Comput. Methods Appl. Mech. Engrg., volume 200, 2011. [full text] [bibtex]
C. Carstensen, J. Gedicke, V. Mehrmann, A. Miedlar:
An adaptive homotopy approach for non-selfadjoint eigenvalue problems
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Numer. Math., volume 119, 2011. [bibtex] [pdf] [doi]
2010
C. Carstensen:
Sensitivity analysis of statistical measure for the reconstruction of microstructures based on the minimization of generalized least-square functionals,
Proceedings of the 3rd GAMM-Seminar on Multiscale Material Modelling, volume Technische Mechanik Band 30, 2010. [bibtex]
C. Carstensen, C. Merdon:
Estimator competition for Poisson problems,
J. Comput. Math., volume 28, 2010. [full text] [bibtex]
W. Boiger, C. Carstensen:
On the strong convergence of gradients in stabilised degenerate convex minimisation problems,
SIAM J. Numer. Anal., volume 47, 2010. [full text] [bibtex]
C. Carstensen, C. Ortner:
Analysis of a class of penalty methods for computing singular minimizers,
CMAM, volume 10, 2010. [full text] [bibtex]
2009
C. Carstensen:
Some remarks on the convergence of adaptive FEMs,
Proceedings of the Korean Society of Industrial and Applied Mathematics, volume 4, 2009. [bibtex]
C. Carstensen, N. Heuer, M. Maischak:
Preface: Special issue: Boundary elements---theory and applications. Dedicated to Professor Ernst P. Stephan on the occasion of his 60th birthday
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Appl. Numer. Math., volume 59, 2009. [bibtex] [pdf] [doi]
C. Carstensen:
Lectures on adaptive mixed finite element methods
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Chapter in Mixed finite element technologies, Springer Wien New York, Vienna, volume 509, 2009. [bibtex] [pdf] [doi]
J. Gedicke, C. Carstensen:
Quasi-Optimal Convergence and Computational Complexity of the Adaptive Finite Element Method for Symmetric Elliptic Eigenvalue Problems,
In Linear and Nonlinear Eigenproblems for PDEs, volume 37, 2009. [full text] [bibtex]
C. Carstensen, J. Hu:
Hanging nodes in the unifying theory of a posteriori finite element error control,
J. Comput. Math., volume 27, 2009. [full text] [bibtex]
C. Carstensen, R. H. W. Hoppe:
Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems
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J. Numer. Math., volume 17, 2009. [bibtex] [pdf] [doi]
C. Carstensen, B. Enquist:
Computational multiscale methods, Abstract from Workshop held June 14-20,
MFO reports, volume 6, 2009. [bibtex]
C. Carstensen, T. Gudi, M. Jensen:
A unifying theory of a posteriori error control for discontinuous Galerkin FEM,
Numer. Math., volume 112, 2009. [full text] [bibtex]
C. Carstensen, R. Rannacher, Z. Shi, T. Tang:
Preface: Special Issue for ``the 2nd Sino-German workshop on Computational and Applied Mathematics'',
J. Comput. Math., volume 27, 2009. (Held in Hangzhou, October 9--13, 2007) [bibtex]
C. Carstensen:
Convergence of adaptive finite element methods in computational mechanics,
Appl. Numer. Math., volume 59, 2009. [full text] [bibtex]
D. Braess, C. Carstensen, R. H. W. Hoppe:
Error reduction in adaptive finite element approximations of elliptic obstacle problems,
J. Comput. Math., volume 27, 2009. [full text] [bibtex]
J. C. Aurich, D. Biermann, H. Blum, C. Brecher, C. Carstensen, B. Denkena, F. Klocke, M. Kröger, P. Steinmann, K. Weinert:
Modelling and simulation of process - Machine interaction in grinding,
Production Engineering, volume 3, 2009. [full text] [bibtex]
2008
C. Carstensen, J. Hu:
A posteriori error analysis for conforming MITC elements for Reissner-Mindlin Plate,
Math. Comp., volume 77, 2008. [bibtex]
C. Carstensen, D. Günther, J. Reininghaus, J. Thiele:
The Arnold-Winther mixed FEM in linear elasticity. Part I: Implementation and numerical verification,
Comput. Methods Appl. Mech. Engrg., volume 197, 2008. [full text] [bibtex]
C. Carstensen, H. Rabus:
New adaptive mixed finite element method (AMFEM),
PAMM, volume 8, 2008. [full text] [bibtex]
C. Carstensen, J. Thiele:
Partition of unity for localization in implicit a posteriori finite element error control for linear elasticity,
Internat. J. Numer. Methods Engrg., Wiley Interscience, volume 73, 2008. [full text] [bibtex]
C. Carstensen, S. C. Brenner, P. Monk:
Nonstandard finite element methods. Abstracts from the workshop held 2008, August 10-16,
MFO reports, volume 5, 2008. [full text] [bibtex]
C. Carstensen:
Convergence of adaptive FEM for a class of degenerate convex minimization problems,
IMA J. Numer. Anal., volume 28, 2008. [full text] [bibtex]
C. Carstensen, S. Conti, A. Orlando:
Mixed analytical-numerical relaxation in finite single-slip crystal plasticity,
Contin. Mech. Thermodyn., volume 20, 2008. [full text] [bibtex]
C. Carstensen, R. Huth:
Computational challenges in finite plasticity from a mathematical view point,
Adelaide, Australia, volume ICTAM2008 Abstract Book and CD-ROM Proceedings, 2008. [bibtex]
W. Boiger, C. Carstensen:
Strong convergence in stabilised degenerate convex problems,
In 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008, WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, volume 8, 2008. [full text] [bibtex]
2007
C. Carstensen, D. Praetorius:
Averaging techniques for a posteriori error control in finite element and boundary element analysis,
In Boundary Element Analysis (O. Steinbach M. Schanz, ed.), Springer, volume 29, 2007. [full text] [bibtex]
C. Carstensen, J. Hu:
A unifying theory of a posteriori error control for nonconforming finite element methods,
Numer. Math., volume 107, 2007. [full text] [bibtex]
C. Carstensen, J. Hu, A. Orlando:
Framework For The A Posteriori Error Analysis Of Nonconforming Finite Element,
SIAM J. Numer. Anal., volume 45, 2007. [full text] [bibtex]
C. Carstensen, J. Gedicke, I. Livshits:
A posteriori error analysis for eigenvalue problems,
PAMM, volume 7, 2007. [full text] [bibtex]
C. Carstensen, D. Praetorius:
On stabilized models in micromagnetics,
Comput. Mech., volume 39, 2007. [full text] [bibtex]
C. Carstensen, D. Praetorius, W. Boiger:
Strong convergence for large bodies in micromagnetics,
In Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, volume 7, 2007. [full text] [bibtex]
S. Bartels, C. Carstensen:
A convergent adaptive finite element method for an optimal design problem,
Numer. Math., volume 108, 2007. [full text] [bibtex]
D. Braess, C. Carstensen, R. H. W. Hoppe:
Convergence analysis of a conforming adaptive finite element method for an obstacle problem,
J. Numer. Math., volume 107, 2007. [full text] [bibtex]
C. Carstensen, J. Bolte:
Adaptive Finite Element Mesh-Refining Algorithm for L$^2$-error control,
In Recent Progress in Scientific Computing (M. Ng W.-B. Liu, Zhong-Ci Shi, eds.), Science Press, 2007. [bibtex]
Z.-P. Li, C. Carstensen:
An averaging scheme for macroscopic numerical simulation of nonconvex minimization problems,
BIT, volume 47, 2007. [full text] [bibtex]
2006
C. Carstensen, S. Bartels, A. Hecht:
P2Q2Iso2D=2D Isoparametric FEM in Matlab,
J. Comput. Appl. Math., volume 192, 2006. [full text] [bibtex]
C. Carstensen, R. Klose, A. Orlando:
Reliable and efficient equilibrated a posteriori error finite element error control in elastoplasticity and elastoviscoplasticity with hardening,
Comput. Methods Appl. Mech. Engrg., volume 195, 2006. [full text] [bibtex]
C. Carstensen, A. Orlando, J. Valdman:
A convergent adaptive finite element method for the primal problem of elastoplasticity,
Internat. J. Numer. Methods Engrg., volume 67, 2006. [full text] [bibtex]
C. Carstensen, R. H. W. Hoppe:
Convergence Analysis of an adaptive nonconforming finite element method,
Numer. Math., volume 103, 2006. [full text] [bibtex]
C. Carstensen, N. Yan, W. Liu:
A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian,
SIAM J. Numer. Anal., volume 43, 2006. [bibtex]
C. Carstensen, R. H. W. Hoppe:
Error Reduction and Convergence For An Adaptive Mixed Finite Element Method,
Math. Comp., volume 75, 2006. [full text] [bibtex]
C. Carstensen:
Reliable and Efficient Averaging Techniques As Universal Tool For A Posteriori Finite Element Error Control On Unstructured Grids,
IJNAM, volume 3, 2006. [full text] [bibtex]
C. Carstensen, N. Yan, W. Liu:
A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm,
Math. Comp., volume 75, 2006. [full text] [bibtex]
C. Carstensen, J. Schöberl:
Residual-based a posteriori error estimate for a mixed Reissner-Mindlin plate finite element method,
Numer. Math., volume 103, 2006. [full text] [bibtex]
C. Carstensen, S. Bartels, K. Hackl, A. Orlando, R. H. W. Hoppe, S. Conti:
Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics,
In Analysis, Modeling and Simulation of Multiscale Problems (A. Mielke, ed.), Springer-Verlag, 2006. [full text] [bibtex]
C. Carstensen, M. Jensen:
Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications,
CONM, volume 383, 2006. [full text] [bibtex]
2005
C. Carstensen, R. Lazarov, S. Tomov:
Explicit and averaging a posteriori error estimates for adaptive finite volume methods,
SIAM J. Numer. Anal., volume 42, 2005. [full text] [bibtex]
C. Bahriawati, C. Carstensen:
Three MATLAB implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control,
CMAM, volume 5, 2005. [full text] [bibtex]
C. Carstensen, D. Praetorius:
Averaging Techniques for the effective numerical solution of Symm's integral equation of the first kind,
SIAM J. Sci. Comput., volume 27, 2005. [full text] [bibtex]
C. Carstensen, J. Valdman, M. Brokate:
A quasi-static boundary value problem in multi-surface elastoplasticity: part 2 - numerical solution,
Math. Methods Appl. Sci., volume 28, 2005. [full text] [bibtex]
C. Carstensen:
A unifying theory of a posteriori finite element error control,
Numer. Math., volume 100, 2005. [full text] [bibtex]
C. Carstensen:
Numerische Lösungsverfahren für nichtkonvexe Probleme der Elastoplastizität,
In Weitab vom Hookeschen Gesetz - Moderne Ansätze und Ingenieurpraxis grosser inelastischer Deformationen metallischer Werkstoffe, Vorträge des Symposiums vom 12.10.2004 (F. G. Kollmann / G. Goittstein, ed.), Akademie der Wissenschaften und der Literatur, 2005. [bibtex]
C. Carstensen, D. Praetorius:
Effective simulation of a macroscopic model for stationary micromagnetics,
Comput. Methods Appl. Mech. Engrg., volume 194, 2005. [full text] [bibtex]
M. Ainsworth, C. Carstensen, W. Dörfler:
Convergence of adaptive algorithms,
MFO reports, volume 37, 2005. [bibtex]
D. Braess, C. Carstensen, K. Hackl:
Gemischte und nicht-standard Finite-Elemente-Methoden mit Anwendungen,
MFO reports, volume 5, 2005. [bibtex]
C. Carstensen:
Estimation of higher Sobolev norm from lower order approximation,
SIAM J. Numer. Anal., volume 42, 2005. [bibtex]
C. Carstensen, R. H. W. Hoppe:
Convergence analysis of an adaptive edge finite element method for the 2D Eddy current equations,
J. Numer. Math., volume 13, 2005. [full text] [bibtex]
C. Carstensen, D. Praetorius:
Numerical analysis for a macroscopic model in micromagnetics,
SIAM J. Numer. Anal., volume 42, 2005. [bibtex]
C. Carstensen, A. Orlando:
Convergence of adaptive finite element methods in elastoplasticity,
PAMM, volume 5, 2005. [full text] [bibtex]
C. Carstensen, P. Causin, R. Sacco:
A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations,
Numer. Math., volume 101, 2005. [full text] [bibtex]
C. Carstensen:
Ten remarks on nonconvex minimisation for phase transition simulations,
Comput. Methods Appl. Mech. Engrg., volume 194, 2005. [full text] [bibtex]
2004
C. Carstensen, M. O. Rieger:
Young-measure approximations for elastodynamics with non-monotone stress-strain relations,
M2AN Math. Model. Numer. Anal., volume 38, 2004. [full text] [bibtex]
C. Carstensen:
Some remarks on the history and future of averaging techniques in finite element error analysis,
ZAMM Z. Angew. Math. Mech., volume 84, 2004. [full text] [bibtex]
C. Carstensen:
An adaptive mesh-refining algorithm allowing for an H$^1$ stable L$^2$ projection onto Courant finite element spaces,
Constr. Approx., volume 20, 2004. [full text] [bibtex]
C. Carstensen:
All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable,
Math. Comp., volume 73, 2004. [full text] [bibtex]
C. Carstensen, B. D. Reddy, D. Braess:
Uniform convergence and a posteriori error estimators for the enhanced strain finite element method,
Numer. Math., volume 96, 2004. [full text] [bibtex]
C. Carstensen, D. Praetorius:
On Stabilized Models in Micromagnetics,
ECCOMAS, volume 2, 2004. [bibtex]
S. Bartels, C. Carstensen, G. Dolzmann:
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis,
Numer. Math., volume 99, 2004. [full text] [bibtex]
S. Bartels, C. Carstensen:
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems,
Numer. Math., volume 99, 2004. [full text] [bibtex]
S. Bartels, C. Carstensen, K. Hackl, U. Hoppe:
Effective relaxation for microstructure simulations: algorithms and applications,
Comput. Methods Appl. Mech. Engrg., volume 193, 2004. [full text] [bibtex]
C. Carstensen, S. C. Brenner:
Finite Element Methods,
In Encyclopedia of Computational Mechanics, John Wiley and Sons, 2004. [full text] [bibtex]
C. Carstensen, M. Maischak, D. Praetorius, E. P. Stephan:
Residual-based a posteriori error estimate for hypersingular equation on surfaces,
Numer. Math., volume 97, 2004. [full text] [bibtex]
C. Carstensen, S.A. Sauter:
A posteriori error analysis for elliptic PDEs on domains with complicated structures,
Numer. Math., volume 96, 2004. [full text] [bibtex]
C. Carstensen, G. Dolzmann:
Time-space discretization of the nonlinear hyperbolic system $u_tt = div (\sigma (Du) + Du_t)$,
SIAM J. Numer. Anal., volume 42, 2004. [bibtex]
M. Brokate, C. Carstensen, J. Valdman:
A quasi-static boundary value problem in multi-surface elastoplasticity. Part 1: Analysis,
Math. Methods Appl. Sci., volume 27, 2004. [full text] [bibtex]
C. Carstensen, G. Dolzmann:
An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads,
Numer. Math., volume 97, 2004. [full text] [bibtex]
S. Bartels, C. Carstensen, P. Plechác, A. Prohl:
Convergence for stabilisation of degenerately convex minimisation problems,
IFB, volume 6, 2004. [full text] [bibtex]
2003
C. Carstensen, J. Alberty:
Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening,
Comput. Methods Appl. Mech. Engrg., volume 192, 2003. [full text] [bibtex]
C. Carstensen:
Nonconvex energy minimisation and relaxation in computational material science,
In IUTAM Symposium on Computational Mechanics of Solid State Materials at Large Strains (C. Miehe, ed.), Kluwer Academic Publishers, 2003. [bibtex]
C. Carstensen, K. Weinberg:
An adaptive non-conforming finite-element method for Reissner-Mindlin plates,
Internat. J. Numer. Methods Engrg., volume 56, 2003. [full text] [bibtex]
C. Carstensen, K. Jochimsen:
Adaptive finite element methods for microstructures? Numerical experiments for a 2-well benchmark,
Computing, volume 71, 2003. [full text] [bibtex]
C. Carstensen, R. Klose:
A posteriori finite element error control for the p-Laplace problem,
SIAM J. Sci. Comput., volume 25, 2003. [bibtex]
C. Carstensen, D. Praetorius:
A posteriori error control in adaptive qualocation boundary element analysis for a logarithmic-kernel integral equation of the first kind,
SIAM J. Sci. Comput., volume 25, 2003. [bibtex]
2002
C. Carstensen, S. Müller:
Local stress regularity in scalar nonconvex variational problems,
SIAM J. Math. Anal., volume 34, 2002. [bibtex]
C. Carstensen, B.P. Rynne:
A posteriori error control for finite element approximations of the integral equation for thin wire antennas,
ZAMM Z. Angew. Math. Mech., volume 82, 2002. [full text] [bibtex]
S. Bartels, C. Carstensen:
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM,
Math. Comp., volume 71, 2002. [full text] [bibtex]
C. Carstensen:
Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H$^1$-stability of the L$^2$-projection onto finite element spaces,
Math. Comp., volume 71, 2002. [full text] [bibtex]
C. Carstensen, S. Bartels:
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids part I: Low order conforming, nonconforming, and mixed FEM,
Math. Comp., volume 71, 2002. [full text] [bibtex]
C. Carstensen:
Residual-based a posteriori error estimate for a nonconforming Reissner-Mindlin plate finite element,
SIAM J. Numer. Anal., volume 39, 2002. [bibtex]
C. Carstensen, C. Carstensen, A. v. Döllen:
Numerische Schwingungssimulation -- Modellierung und Algorithmen,
Math. Semesterber., volume 48, 2002. (In German) [bibtex]
J. Alberty, C. Carstensen, S. A. Funken, R. Klose:
Matlab implementation of the finite element method in elasticity,
Computing, volume 69, 2002. [full text] [bibtex]
C. Carstensen, R. Klose:
Elastoviscoplastic Finite Element Analysis in 100 lines of Matlab,
J. Numer. Math., volume 10, 2002. [full text] [bibtex]
J. Alberty, C. Carstensen:
Discontinuous Galerkin time discretization in elastoplasticity: motivation, numerical algorithms, and applications,
Comput. Methods Appl. Mech. Engrg., volume 191, 2002. [full text] [bibtex]
C. Carstensen, K. Hackl, A. Mielke:
Non-convex potentials and microstructures in finite-strain plasticity,
R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., volume 458, 2002. [bibtex]
C. Carstensen, S. Bartels, S. Jansche:
A posteriori error estimates for nonconforming finite element methods,
Numer. Math., volume 92, 2002. [full text] [bibtex]
2001
C. Carstensen, W. Hackbusch, T. Y. Hou:
Numerik von Mikrostrukturen,
MFO reports, volume 25, 2001. [bibtex]
C. Carstensen, S. A. Funken:
Averaging technique for FE-a posteriori error control in elasticity. Part II: $\lambda$-independent estimates,
Comput. Methods Appl. Mech. Engrg., volume 190, 2001. [full text] [bibtex]
C. Carstensen, P. Plechác:
Numerical analysis of a relaxed variational model of hysteresis in two-phase solids,
M2AN Math. Model. Numer. Anal., volume 35, 2001. [bibtex]
C. Carstensen, S. A. Funken:
A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems,
Math. Comp., volume 70, 2001. [full text] [bibtex]
C. Carstensen, S. A. Funken:
Averaging technique for FE-a posteriori error control in elasticity. Part I: Conforming FEM,
Comput. Methods Appl. Mech. Engrg., volume 190, 2001. [full text] [bibtex]
C. Carstensen, S. A. Funken:
Averaging technique for a posteriori error control in elasticity. Part III: Locking-free nonconforming FEM,
Comput. Methods Appl. Mech. Engrg., volume 191, 2001. [full text] [bibtex]
C. Carstensen, B. Faermann:
Mathematical foundation of a posteriori error estimates and adaptive mesh-refining algorithms for boundary integral equations of the first kind,
EABE, volume 25, 2001. [full text] [bibtex]
C. Carstensen, K. Weinberg:
Adaptive mixed finite element method for Reissner-Mindlin plate,
Comput. Methods Appl. Mech. Engrg., volume 190, 2001. [full text] [bibtex]
D. N. Arnold, C. Carstensen, R. H. W. Hoppe:
Mixed finite element mehtods and applications,
MFO reports, volume 5, 2001. [bibtex]
C. Carstensen, A. Prohl:
Numerical analysis of relaxed micromagnetics by penalised finite elements,
Numer. Math., volume 90, 2001. [full text] [bibtex]
C. Carstensen:
Numerical Analysis of microstructure,
In Theory and numerics of differential equations (Durham, 2000) (J.P. Coleman J.F. Blowey, A.W. Craig, eds.), Springer-Verlag, 2001. [bibtex]
C. Carstensen, S. Bartels, R. Klose:
An experimental survey of a posteriori Courant finite element error control for the Poisson equation,
Adv. Comput. Math., volume 15, 2001. [full text] [bibtex]
C. Carstensen, M. Maischak, E. P. Stephan:
A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation,
Numer. Math., volume 90, 2001. [full text] [bibtex]
2000
J. Alberty, C. Carstensen:
Numerical analysis of time-depending primal elastoplasticity with hardening,
SIAM J. Numer. Anal., volume 37, 2000. [bibtex]
K. Weinberg, C. Carstensen:
Adaptive mixed finite element method for Reissner-Mindlin plates,
ZAMM Z. Angew. Math. Mech., volume 80, 2000. [full text] [bibtex]
C. Carstensen, T. Roubícek:
Numerical approximation of Young measures in non-convex variational problems,
Numer. Math., volume 84, 2000. [full text] [bibtex]
C. Carstensen, J. Alberty, D. Zarrabi:
Numerical analysis of primal elastoplasticity with hardening,
ZAMM Z. Angew. Math. Mech., volume 80, 2000. [bibtex]
C. Carstensen, A. Prohl:
Numerical analysis of a relaxed model in micromagnetics,
ZAMM Z. Angew. Math. Mech., volume 80, 2000. [bibtex]
C. Carstensen, K. Weinberg:
Calculating the energy-norm FEM-Error for Reissner-Mindlin plates without known reference solution,
Comput. Mech., volume 26, 2000. [full text] [bibtex]
C. Carstensen, P. Plechác:
Numerical analysis of compatible phase transitions in elastic solids,
SIAM J. Numer. Anal., volume 37, 2000. [bibtex]
C. Carstensen, G. Dolzmann, S. A. Funken, D. S. Helm:
Locking-free mixed finite element methods in linear elasticity,
Comput. Methods Appl. Mech. Engrg., volume 190, 2000. [full text] [bibtex]
C. Carstensen, S. A. Funken:
Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods,
East-West J. Numer. Math., volume 8, 2000. [bibtex]
A. Hecht, C. Carstensen, D. Zarrabi:
Adaptive discretisation of shell problems,
ZAMM Z. Angew. Math. Mech., volume 80, 2000. [full text] [bibtex]
C. Carstensen, S. A. Funken:
Coupling of mixed finite elements and boundary elements,
IMA J. Numer. Anal., volume 20, 2000. [full text] [bibtex]
S. Bartels, C. Carstensen, P. Plechác:
Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science,
In Multifield problems. State of the Art. (W. Schiehlen W. L. Wendland A.-M. Sändig, ed.), Springer, 2000. [bibtex]
C. Carstensen, K. Hackl:
On microstructures occuring in a model of finite--strain elastoplasticity involving a single slip--system,
ZAMM Z. Angew. Math. Mech., volume 80, 2000. [full text] [bibtex]
1999
J. Alberty, C. Carstensen, D. Zarrabi:
Adaptive numerical analysis in primal elastoplasticity with hardening,
Comput. Methods Appl. Mech. Engrg., volume 171, 1999. [full text] [bibtex]
C. Carstensen, R. Verfürth:
Edge residuals dominate a posteriori error estimates for low order finite element methods,
SIAM J. Numer. Anal., volume 36, 1999. [bibtex]
C. Carstensen, O. Scherf, P. Wriggers:
Adaptive finite elements for elastic bodies in contact,
SIAM J. Sci. Comput., volume 20, 1999. [bibtex]
C. Carstensen, S. A. Funken:
Coupling of nonconforming finite elements and boundary elements. II. A posteriori estimates and adaptive mesh-refinement,
Computing, volume 62, 1999. [full text] [bibtex]
C. Carstensen:
Numerical analysis of the primal problem of elastoplasticity with hardening,
Numer. Math., volume 82, 1999. [full text] [bibtex]
C. Carstensen, J. Gwinner:
A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems,
Ann. Mat. Pura Appl. (4), volume 177, 1999. [full text] [bibtex]
C. Carstensen, S. A. Funken:
Coupling of nonconforming finite elements and boundary elements. I: A priori estimates,
Computing, volume 62, 1999. [full text] [bibtex]
J. M. Ball, C. Carstensen:
Compatibility conditions for microstructures and the austenite-martensite transition,
MSE, volume 273--275, 1999. [full text] [bibtex]
C. Carstensen, S. A. Funken:
Fully reliable error control in the h-p-version of FEM,
ZAMM Z. Angew. Math. Mech., volume 79, 1999. [bibtex]
C. Carstensen:
Quasi-interpolation and a posteriori error analysis in finite element methods,
M2AN Math. Model. Numer. Anal., volume 33, 1999. [full text] [bibtex]
C. Carstensen, W. Hackbusch, M. B. Luskin:
Numerics of Microstructures,
MFO Tagungsbericht, volume 17, 1999. [bibtex]
J. Alberty, C. Carstensen, S. A. Funken:
Remarks around 50 lines of Matlab: short finite element implementation,
Numer. Algorithms, volume 20, 1999. [full text] [bibtex]
C. Carstensen, S. A. Funken:
Fully reliable localized error control in the FEM,
SIAM J. Sci. Comput., volume 21, 1999. [bibtex]
1998
C. Carstensen, S. Jansche:
An a posteriori estimate for nonconforming finite element methods,
ZAMM Z. Angew. Math. Mech., volume 78, 1998. [bibtex]
C. Carstensen, G. Dolzmann:
A posteriori error estimates for mixed FEM in elasticity,
Numer. Math., volume 81, 1998. [full text] [bibtex]
C. Carstensen, M. Kuhn, U. Langer:
Fast parallel solvers for symmetric boundary element domain decomposition equations,
Numer. Math., volume 79, 1998. [full text] [bibtex]
C. Carstensen, P. Plechác:
Adaptive algorithms for scalar non-convex variational problems,
Appl. Numer. Math., volume 26, 1998. [full text] [bibtex]
1997
C. Carstensen:
Numerical analysis of the (relaxed) double well problem,
In ENUMATH 97 (H. G. Bock et al., ed.), World Scientific Publishing, 1997. (Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications, Heidelberg) [bibtex]
C. Carstensen:
An a posteriori error estimate for a first kind integral equation,
Math. Comp., volume 66, 1997. [full text] [bibtex]
C. Carstensen, S. A. Funken, E. P. Stephan:
On the adaptive coupling of FEM and BEM in 2-d-elasticity,
Numer. Math., volume 77, 1997. [full text] [bibtex]
C. Carstensen, E. P. Stephan:
Adaptive boundary-element methods for transmission problems,
J. Austral. Math. Soc. Ser. B, volume 38, 1997. [full text] [bibtex]
C. Carstensen:
A posteriori error estimate for the mixed finite element method,
Math. Comp., volume 66, 1997. [full text] [bibtex]
C. Carstensen, J. Gwinner:
FEM and BEM coupling for a nonlinear transmission problem with Signorini contact,
SIAM J. Numer. Anal., volume 34, 1997. [bibtex]
C. Carstensen:
Domain decomposition for a non-smooth convex minimization problem and its application to plasticity,
Numer. Linear Algebra Appl., volume 4, 1997. [full text] [bibtex]
J. M. Ball, C. Carstensen:
Nonclassical austenite-martensite interfaces,
J. Phys., volume 7, 1997. [full text] [bibtex]
C. Carstensen, P. Plechác:
Numerical solution of the scalar double-well problem allowing microstructure,
Math. Comp., volume 66, 1997. [full text] [bibtex]
C. Carstensen, S. Jansche:
A posteriori error estimates and adaptive algorithms for mixed and non-conform FEM,
In Numerical Modeling in Continuum Mechanics (R. Rannacher K. Kozel. M. Feistauer, ed.), 1997. (Proceedings of the 3rd Summer Conference held in Prague, 8-11 September 1997.) [bibtex]
C. Carstensen, P. Wriggers:
On the symmetric boundary element method and the symmetric coupling of boundary elements and finite elements,
IMA J. Numer. Anal., volume 17, 1997. [bibtex]
1996
C. Carstensen:
Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes,
Math. Comp., volume 65, 1996. [full text] [bibtex]
C. Carstensen:
A posteriori error estimate for the symmetric coupling of finite elements and boundary elements,
Computing, volume 57, 1996. [full text] [bibtex]
C. Carstensen, S. A. Funken, E. P. Stephan:
A posteriori error estimates for hp--boundary element methods,
Appl.Anal., volume 61, 1996. [bibtex]
C. Carstensen:
Numerical analysis of nonconvex minimization problems allowing microstructures,
ZAMM Z. Angew. Math. Mech., volume 76, 1996. [bibtex]
U. Brink, C. Carstensen, E. Stein:
Symmetric coupling of boundary elements and Raviart-Thomas-Type mixed finite elements in elastostatics,
Numer. Math., volume 75, 1996. [full text] [bibtex]
C. Carstensen, E. P. Stephan:
Adaptive boundary element methods for some first kind integral equations,
SIAM J. Numer. Anal., volume 33, 1996. [bibtex]
C. Carstensen, D. Zarrabi, E. P. Stephan:
On the h-adaptive coupling of FE and BE for viscoplastic and elastoplastic interface problems,
J. Comput. Appl. Math., volume 75, 1996. [full text] [bibtex]
C. Carstensen:
Coupling of FEM and BEM for interface problems in viscoplasticity and plasticity with hardening,
SIAM J. Numer. Anal., volume 33, 1996. [bibtex]
B. Beckermann, C. Carstensen:
QD-type algorithms for the nonnormal Newton-Padé approximation table,
Constr. Approx., volume 12, 1996. [full text] [bibtex]
1995
C. Carstensen, D. Zarrabi:
An a posteriori error estimate for the unsymmetric coupling of FEM and BEM,
In Numerical Treatment of Coupled Systems. Notes on Numerical Fluid Mechanics. (G. Wittum W. Hackbusch, ed.), Vieweg-Verlag, volume 51, 1995. (Proceedings of the 11th GAMM--Seminar Kiel) [bibtex]
C. Carstensen, G. Mühlbach, G. Schmidt:
De Casteljau's algorithm is an extrapolation method,
Comput. Aided Geom. Design, volume 12, 1995. [full text] [bibtex]
C. Carstensen, E. P. Stephan:
A posteriori error estimates for boundary element methods,
Math. Comp., volume 64, 1995. [full text] [bibtex]
C. Carstensen, M. S. Petkovi'c:
On a real measure of convergence of single step methods,
In IX Conference on Applied Mathematics (Lj. Cvetkovi\'c D. Herceg, ed.), Institute of Mathematics, 1995. (Budva, 1994) [bibtex]
C. Carstensen:
Numerical analysis of nonconvex minimization problems allowing microstructures,
In Numerical Modeling in Continuum Mechanics (R. Rannacher K. Kozel. M. Feistauer, ed.), Faculty of Mathematics and Physics, Charles University, 1995. (Proceedings of the 2nd Summer Conference held in Prague 22--25 August 1994) [bibtex]
P. Wriggers, O. Scherf, C. Carstensen:
An adaptive finite element method for frictionless contact problems,
ZAMM Z. Angew. Math. Mech., volume 75, 1995. [bibtex]
C. Carstensen, T. Sakurai:
Simultaneous factorization of a polynomial by rational approximation,
J. Comput. Appl. Math., volume 61, 1995. [full text] [bibtex]
C. Carstensen, E. P. Stephan:
Coupling of FEM and BEM for a nonlinear interface problem: the h-p version,
Numer. Methods Partial Differential Equations, volume 11, 1995. [full text] [bibtex]
C. Carstensen:
Adaptive boundary element methods and adaptive finite element and boundary element coupling,
In Boudary Value Problems and Integral Equations on Non-Smooth Domains (M. Dauge S. Nicaise M. Costabel, ed.), Dekker, volume 167, 1995. (Lecture Notes in Pure and Applied Mathematics) [bibtex]
C. Carstensen, E. P. Stephan, D. Estep:
h-adaptive boundary element schemes,
Comput. Mech., volume 15, 1995. [full text] [bibtex]
C. Carstensen, E. P. Stephan:
Adaptive coupling of boundary elements and finite elements,
RAIRO Model. Math. Anal. Numer., volume 29, 1995. [full text] [bibtex]
C. Carstensen, E. P. Stephan:
Interface problems in elastoviscoplasticity,
Quart. Appl. Math., volume 53, 1995. [bibtex]
C. Carstensen, M. S. Petkovi'c, M. Trajkovíc:
Weierstrass formula and zero-finding methods,
Numer. Math., volume 69, 1995. [full text] [bibtex]
1994
C. Carstensen, M. S. Petkovi'c:
An improvement of Gargantini's simultaneous inclusion method for polynomial roots by Schröder's correction,
Appl. Numer. Math., volume 13, 1994. [full text] [bibtex]
E. Stein, B. Seifert, S. Ohnimus, C. Carstensen:
Adaptive finite element analysis of geometrically non-linear plates and shells, especially buckling,
Internat. J. Numer. Methods Engrg., volume 37, 1994. [full text] [bibtex]
P. Wriggers, O. Scherf, C. Carstensen:
Adaptive techniques for the contact of elastic bodies.,
In Recent Developments in Finite Element Analysis (E. Onate O. C. Zienkiewicz T. J. R. Hughes, ed.), International Center for Numerical Methods in Engineering (CIMNE), 1994. [bibtex]
C. Carstensen:
A note on simultaneous rootfinding for algebraic, exponential and trigonometric polynomials,
Comput. Math. Appl., volume 27, 1994. [full text] [bibtex]
C. Carstensen:
Interface problems in viscoplasticity and plasticity,
SIAM J. Math. Anal., volume 25, 1994. [bibtex]
C. Carstensen, M. S. Petkovi'c:
On root finding methods with corrections,
Serdica, volume 20, 1994. [full text] [bibtex]
1993
C. Carstensen, W. Wagner:
Detecting symmetry-breaking bifurcation points of symmetric structures,
Internat. J. Numer. Methods Engrg., volume 36, 1993. [full text] [bibtex]
C. Carstensen, M. Reinders:
On a class of higher-order methods for simultaneous root finding of generalized polynomials,
Numer. Math., volume 64, 1993. [full text] [bibtex]
C. Carstensen:
On quadratic-like convergence of the means for two methods for simultaneous rootfinding of polynomials,
BIT, volume 33, 1993. [full text] [bibtex]
C. Carstensen:
Interface problems in holonomic elastoplasticity,
Math. Methods Appl. Sci., volume 16, 1993. [full text] [bibtex]
C. Carstensen, P. Wriggers:
On pertubation behaviour in non-linear dynamics,
Comm. Numer. Methods Engrg., volume 9, 1993. [full text] [bibtex]
B. Beckermann, C. Carstensen:
Global identities in the non-normal Newton-Padé approximation table,
J. Approx. Theory, volume 74, 1993. [full text] [bibtex]
C. Carstensen:
An interface problem in solid mechanics with a linear elastic and a hyperelastic material,
Math. Nachr., volume 163, 1993. [full text] [bibtex]
C. Carstensen, M. S. Petkovi'c:
On iteration methods without derivatives for the simultaneous determination of polynomial zeros,
J. Comput. Appl. Math., volume 45, 1993. [full text] [bibtex]
C. Carstensen, M. S. Petkovi'c:
Some improved inclusion methods for polynomial roots with Weierstraß' corrections,
Comput. Math. Appl., volume 25, 1993. [full text] [bibtex]
C. Carstensen:
Nonlinear interface problems in solid mechanics -- Finite element and boundary element coupling, PhD thesis, University of Hanover, 1993. [bibtex]
C. Carstensen, M. S. Petkovi'c:
On some interval methods for algebraic, exponential and trigonometric polynomials,
Computing, volume 51, 1993. [full text] [bibtex]
1992
C. Carstensen, G. Mühlbach:
The Neville-Aitken formula for rational interpolants with prescribed poles,
Numer. Algorithms, volume 3, 1992. [full text] [bibtex]
B. Beckermann, C. Carstensen:
A reliable modification of the cross rule for rational Hermite interpolation,
Numer. Algorithms, volume 3, 1992. [full text] [bibtex]
C. Carstensen:
On Grau's method for simultaneous factorization of polynomials,
SIAM J. Numer. Anal., volume 29, 1992. [bibtex]
P. Wriggers, C. Carstensen:
An efficient algorithm for the computation of stability points of dynamical systems under step load,
Engrg. Comp., volume 9, 1992. [full text] [bibtex]
C. Carstensen:
On simultaneous factoring of a polynomial,
Internat. J. Comput. Math., volume 46, 1992. [bibtex]
1991
C. Carstensen:
Linear construction of companion matrices,
Linear Algebra Appl., volume 149, 1991. [full text] [bibtex]
C. Carstensen:
Anwendungen von Begleitmatrizen (Applications of companion matrices),
Z. Angew. Math. Mech., volume 71, 1991. (Bericht über die Wissenschaftliche Jahrestagung der GAMM (Hannover, 1990), in German) [bibtex]
C. Carstensen:
Inclusion of the roots of a polynomial based on Gerschgorin's theorem,
Numer. Math., volume 59, 1991. [full text] [bibtex]
1990
C. Carstensen:
On a general rho-algorithm,
J. Comput. Appl. Math., volume 33, 1990. [full text] [bibtex]
1989
C. Carstensen:
Lineare Konstruktion und Anwendungen von Begleitmatrizen (Linear construction of companion matrices), PhD thesis, University of Hanover, 1989. (Forschungs- und Seminarberichte aus dem Bereich der Mechanik der Universität Hannover, F89/5.) [bibtex]
C. Carstensen, E. Stein:
Über die Falksche ECP-Transformation und Verallgemeinerungen (On Falk's ECP transformation and generalizations),
ZAMM Z. Angew. Math. Mech., volume 69, 1989. [full text] [bibtex]
C. Carstensen:
On a general epsilon algorithm,
In Numerical and Applied Mathematics (C. Brezinski, ed.), IMACS, 1989. [bibtex]
1988
C. Carstensen:
Zur theoretischen und numerischen Behandlung von Stabilitätsproblemen (Theory and numerical analysis of stability problems), Master's thesis, University of Hanover, 1988. (Unpublished) [bibtex]
1987
C. Carstensen, E. Stein:
Analysis und Berechnung der Falk'schen ECP-Transformation und verwandte Probleme (Analysis and computation of Falk's ECP transformation and related problems),
Chapter in Numerical treatment of eigenvalue problems, Vol.\ 4 (Oberwolfach, 1986), Birkhäuser, volume 83, 1987. [bibtex]
C. Carstensen:
Konvergenzbeschleunigung mit nichtlinearen Verfahren (Acceleration of convergence with non-linear methods), Master's thesis, University of Hanover, 1987. (Unpublished) [bibtex]