Chair of Numerical Methods of Partial Differential Equations

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Lehre:

Vorlesungen im Sommersemester 2022:

Science News:

Apr 27, 2022: Ansgar Burchardt successfully defended his PhD thesis on Numerical Simulation of Wear of Total Knee Replacements.
Mar 29, 2022: I gave a talk on "Geometric Finite Elements" at CASUS Görlitz.
Mar 21, 2022: The preprint A homogenized bending theory for prestrained plates (with Klaus Böhnlein, Stefan Neukamm, and David Padilla-Garza) has been uploaded to arXiv.
Jan 17, 2022: The preprint Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture (with Jendrik Voss, Robert J. Martin, Siddhant Kumar Dennis M. Kochmann, and Patrizio Neff) has been uploaded to arXiv.
Jan 11, 2022: Ansgar Burchardt has submitted his thesis "Numerical Simulation of Wear of Total Knee Replacements"
Dec 20, 2021: The paper The Parallel Full Approximation Scheme in Space and Time for a Parabolic Finite Element Problem (with Ruth Schöbel and Robert Speck) has been accepted for publication in the proceedings of the 26th Conference on Domain Decomposition Methods.
May 19, 2021: The paper Exploring Plasmonic Resonances Toward “Large-Scale” Flexible Optical Sensors with Deformation Stability (with Anik Kumar Ghosh, Swagato Sarkar, Lisa J. Nebel, Olha Aftenieva, Vaibhav Gupta, Amit Das, Joby Joseph, Sven Wießner, Tobias A.F. König, and Andreas Fery) has been published in Advanced Functional Materials. More wrinkling of Cosserat shells, this time with stress plots!
May 10, 2021: The paper Controlling line defects in wrinkling: a pathway towards hierarchical wrinkling structures (with André Knapp, Lisa Nebel, Mirko Nitschke and Andreas Fery) has been published in Soft Matter. It shows wrinkling of Cosserat shells in action!
Apr. 28, 2021: The preprint Conforming Finite Elements for H(sym Curl) and H(dev sym Curl) has been uploaded to arXiv.
Mar. 18, 2021: The preprint Truncated Nonsmooth Newton Multigrid for phase-field brittle-fracture problems (with Carsten Gräser and Daniel Kienle) has seen a major update. It now contains a large section with numerical tests.
Mar. 17, 2021: The preprint The Parallel Full Approximation Scheme in Space and Time for a Parabolic Finite Element Problem (with Ruth Schöbel and Robert Speck) has been uploaded to arXiv.
Mar. 1, 2021: I gave a talk on Nonsmooth Multigrid Methods for Problems in Mechanics in the seminar of Prof. Kaliske, TU Dresden.
Dec. 9, 2020: My book on the Dune software system has been published by Springer!
Sep. 17, 2020: Together with Arnold Reusken and Ivo Sbalzarini I chaired a minisymposium on Vector-and tensor-valued surface PDEs at this year's DMV Jahrestagung.
Jul. 23, 2020: The preprint Truncated Nonsmooth Newton Multigrid for phase-field brittle-fracture problems (with Carsten Gräser and Daniel Kienle) has been uploaded to arXiv. It is a preliminary version without numerical tests. Such tests will appear in an updated version.
Apr. 16, 2020: The Handbook of Variational Methods for Nonlinear Geometric Data has been published. Hanne Hardering and I contributed a chapter on Geometric Finite Elements.
Apr. 3, 2020: I uploaded an updated version of the paper Getting started with DUNE. It now covers Dune Version 2.7.
Jan. 10, 2020: I gave a talk on "Geometric Finite Elements" at the Humboldt Universität Berlin

Older news

Bachelor- und Masterarbeiten:

Übersicht

Getting started with Dune:

I have written a book on the DUNE software system, which is published by Springer Verlag. The friendly folks at Springer gave their permission to publish the chapter on how to get started with DUNE right here as well.