Research Seminar
SoSe 2023

Table of Contents


Organization [ back ]

Prof. Carsten Carstensen
Contact: Benedikt Gräßle (graesslb(at)math.hu-berlin.de)

The seminar talks usually take place on Tuesday at 1 pm.

The announcements for each talk will be sent via a mailing list. Please contact Benedikt Gräßle (graesslb(at)math.hu-berlin.de) if you want to join the list.

Location [ back ]

Humboldt-Universität zu Berlin, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin
House 2, Floor 4, Room 2.417

Schedule [ back ]

Date Time Talk by Title Room
April 19, 2023 13:15 Benedikt Gräßle (HU Berlin) The hierarchical Argyris AFEM with optimal convergence rates 2.417
April 25, 2023 13:15 Georgi Mitsov (HU Berlin) Combining time-stepping θ-schemes with dPG-FEM for the solution of the heat equation 2.417
May 02, 2023 13:15 Stefan Sauter (Uni Zürich) The method of integral equations for acoustic transmission problems with varying coefficients 2.417
May 09, 2023 13:15 Lara Théallier (HU Berlin) Implementing HHO for linear elasticity 2.417
May 10, 2023 14:45 Neela Nataraj (IIT Bombay) Discussion on WOPSIP 2.417
May 16, 2023 13:15 Felix Goldmann (HU Berlin) Discontinuous Galerkin method for the Parabolic Obstacle Problem 2.417
May 16, 2023 15:00 Ngoc Tien Tran (Uni Jena) Minimal residual methods for PDE of second order in nondivergence form 2.417
May 23, 2023 13:15 Johannes Storn (Uni Bielefeld) Advantages of Dual Formulations in Computational Calculus of Variations 2.417
May 30, 2023 13:15 Joscha Gedicke (Uni Bonn) P₁ finite element methods for an elliptic optimal control problem with pointwise state constraints 2.417
June 13, 2023 13:15 Emilie Pirch (Uni Jena) TBA 2.417
July 18, 2023 13:15 Christian Merdon (WIAS Berlin) TBA 2.417

Abstracts [ back ]

Speaker: Stefan Sauter
Title: The method of integral equations for acoustic transmission problems with varying coefficients
In our talk we will derive an integral equation method which transforms a three-dimensional acoustic transmission problem with variable coefficients and mixed boundary conditions to a non-local equation on the two-dimensional boundary and skeleton of the domain. For this goal, we introduce and analyze abstract layer potentials as solutions of auxiliary coercive full space variational problems and derive jump conditions across domain interfaces. This allows us to formulate the non-local skeleton equation as a direct method for the unknown Cauchy data of the original partial differential equation. We develop a theory which inherits coercivity and continuity of the auxiliary full space variational problem to the resulting variational form of the skeleton equation without relying on an explicit knowledge of Green's function. Some concrete examples of full and half space transmission problems with piecewise constant coefficients are presented which illustrate the generality of our integral equation method and its theory.
This talk comprises joint work with Francesco Florian, University of Zurich and Ralf Hiptmair, ETH Zurich.
Speaker: Johannes Storn
Title: Advantages of Dual Formulations in Computational Calculus of Variations
Duality theory is a very useful tool in the calculus of variations. In this talk we exploit this tool to overcome the Lavrentiev gap phenomenon and to design an iterative scheme for the computation of the p-Laplace problem with large exponents.
Speaker: Joscha Gedicke
Title: P₁ finite element methods for an elliptic optimal control problem with pointwise state constraints
We present theoretical and numerical results for two P₁ finite element methods for an elliptic distributed optimal control problem on general polygonal/polyhedral domains with pointwise state constraints.

Archive [ back ]