:-)

Kontakt: Hier!

Lehre:

Im Sommersemester 2025 halte ich die folgenden Vorlesungen:

• Math-Ba-NM20: Numerische Mathematik Teil 2. Darin geht es viel um dünnbesetzte lineare Gleichungssysteme und um gewöhnliche DIfferentialgleichungen.  (Kapitel 8-11 im Skript)
• Math-Ma-29: Numerik von partiellen Differentialgleichungen Teil 2.  Was Finite Elemente mit homologischer Algebra zu tun haben: Hilbertkomplexe und Finite-Element Exterior Calculus (Nach dem Buch von Douglas Arnold).

Interessant und wichtig: Die analytischen Hintergründe zu Hilbertkomplexen werden von Dirk Pauly in der Vorlesung "Partiellen Differentialgleichungen" behandelt. Man kann beide Vorlesungen gut parallel hören.

Science News:

• Feb 7, 2025: The paper Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere (with Sören Bartels, Klaus Böhnlein, and Christian Palus) has been accepted by the Journal of Numerical Mathematics.

• Jan 31, 2025: I gave a talk on "Formation of wrinkles on a coated substrate" at the GAMM Seminar on Microstructures at HU Berlin.

• Jan 31, 2025: The preprint How to project onto SL(n) (with Patrick Jaap) has been uploaded to arXiv.

• Jan 18, 2025: The preprint Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints (with Robert J. Martin, Ionel-Dumitrel Ghiba, Maximilian Köhler, Daniel Balzani, and Patrizio Neff) has been uploaded to arXiv.

• Oct 31, 2024: I gave a talk on "Geometric Finite Elements" at the seminar of Tabea Tscherpel at TU Darmstadt.

• Oct 27, 2024: The preprint Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere (with Sören Bartels, Klaus Böhnlein, and Christian Palus) has seen a major update, and is now finally submitted to a journal.

• Jul 4, 2024: The article Dimension-reduced mathematical modeling of self-shaping wooden composite bilayers (with Klaus Böhnlein, Stefan Neukamm, and Markus Rüggeberg) has been published in Wood Material Science & Engineering.

• May 22, 2024: I gave a talk entitled "Discretization methods for large-strain director shells" at the SIAM Materials conference in Pittsburgh, PA.

• Apr 9, 2024: The article Kinetically controlled metal-elastomer nanophases for environmentally resilient stretchable electronics (with Soosang Chae, Andreas Fery, Lisa Julia Nebel, and lots of others) has been published in Nature Communications.

• Mar 20, 2024: The article Representative Volume Element Approximations in Elastoplastic Spring Networks (with Sabine Haberland, Patrick Jaap, Stefan Neukamm, and Mario Varga) has been published in SIAM Multiscale Modeling & Simulation

• Mar 1, 2024: Robert Bauer successfully defended his PhD thesis on Error Analysis for Geometric Finite Element Discretizations of a Cosserat Rod Optimization Problem.

• Feb 8, 2024: I gave a talk entitled "The TNNMG and BFGS methods for solving small-strain phase-field fracture equations" at the 9th GAMM Workshop on Phase-field Modelling, TU Dresden.

• Jan 23, 2024: I gave a talk entitled "Polynomial interpolation in Riemannian manifolds and Lie groups" in the Seminar "Geometrie" at the Institute for Geometry of TU Dresden.

• Dec 8, 2023: Lisa Julia Nebel successfully defended her PhD thesis on Formation of Wrinkles on a Coated Substrate.

• Nov 23, 2023: The preprint High-Order Integration on regular triangulated manifolds reaches Super-Algebraic Approximation Rates through Cubical Re-parameterizations (with Gentian Zavalani and Michael Hecht) has been uploaded to arXiv.

• Nov 6, 2023: I gave a talk entitled What do numerical analysts need the Koszul complex for? in the Seminar "Geometric Methods in Mathematics" at the Institute for Geometry of TU Dresden.

• Aug 23, 2023: The article A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: Discretization with geometric finite elements (with Lisa Julia Nebel, Mircea Bîrsan, and Patrizio Neff) has been published in Computer Methods in Applied Mechanics and Engineering

• Aug 21, 2023: Patrick Jaap successfully defended his PhD thesis on Efficient and Globally Convergent Minimization Algorithms for Small- and Finite-Strain Plasticity Problems.

• Jun 2, 2023: I gave a talk on "An inexact Proximal Newton Method for energetic finite strain plasticity models" at the GAMM Jahrestagung in Dresden.

• May 20, 2023: The article Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis (with Carsten Gräser and Daniel Kienle) has been published in Computational Mechanics.

• Apr 24, 2023: The preprint A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: Discretization with geometric finite elements (with Lisa Julia Nebel, Mircea Bîrsan, and Patrizio Neff) has been uploaded to arXiv.

• Mar 16, 2023: I gave a talk on "An inexact Proximal Newton Method for energetic finite strain plasticity models" at the SIGOPT conference, in Cottbus.

• Mar 1, 2023: I gave a talk entitled "Towards conforming discretizations for bending shell problems" at the SIAM Conference on Computational Science and Engineering, in Amsterdam.

• Feb 21, 2023: Ruth Schöbel successfully defended her PhD thesis on "PFASST and Newton-Multigrid methods for nonlinear time-dependent problems".

• Dec 27, 2022: The paper A Homogenized Bending Theory for Prestrained Plates (with Klaus Böhnlein, Stefan Neukamm, and David Padilla-Garza) has been published in the Journal of Nonlinear Science.

• Oct 25, 2022: I gave a talk on "Geometric finite elements" at the NTNU Trondheim.

• Oct 20, 2022: The paper "Remarks on rank-one convexity and quasiconvexity for planar functions with an additive volumetric-isochoric split" (with Robert J. Martin, Jendrik Voss, and Patrizio Neff) has been accepted by PAMM.

• Sep 27, 2022: The preprint Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere (with Sören Bartels, Klaus Böhnlein, and Christian Palus) has been uploaded to arXiv.

• Sep 26, 2022: The preprint Representative volume element approximations in elastoplastic spring networks (with Sabine Haberland, Patrick Jaap, Stefan Neukamm, and Mario Varga) has been uploaded to arXiv.

• Sep 17, 2022: Lisa Julia Nebel got the price for the best young research talk for her talk on "The formation of wrinkles in bi-layer systems" at the Chemnitz Finite Element Symposium 2022.

• Sep 6, 2022: I gave a talk on Geometric finite elements for director shell models at the CMM-SolMech conference in Świnoujscie, Poland.

• Jun 24, 2022: I gave a talk on "Geometric Finite Elements" at the Oberwolfach Workshop on Hilbert Complexes.

• Jun 8, 2022: I gave a keynote lecture on "Analysis of nonsmooth multigrid for phase-field brittle fracture" at the ECCOMAS conference in Oslo, Norway.

• May 23-25, 2022: Together with Sören Bartels, Patrick Dondl, and Bernd Schmidt, I organized a workshop on Nonlinear bending.

• 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.

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.