Contact us: Here!
Teaching:
In the winter semester 2024/2025 I will give the following lectures:
- Math-Ba-NM10: Numerical Analysis - Basic Concepts: Interpolation, quadrature, condition and stability, linear and nonlinear systems of equations (lecture notes)
- Math-Ma-28: Numerical methods for partial differential equations: Mainly finite element methods (lecture notes)
Science News:
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Oct 31, 2024: I gave a talk on "Geometric Finite Elements" at the seminar of Tabea Tscherpel at TU Darmstadt.
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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.
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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.
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May 22, 2024: I gave a talk entitled "Discretization methods for large-strain director shells" at the SIAM Materials conference in Pittsburgh, PA.
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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.
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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
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Mar 1, 2024: Robert Bauer successfully defended his PhD thesis on Error Analysis for Geometric Finite Element Discretizations of a Cosserat Rod Optimization Problem.
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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 Modeling, TU Dresden.
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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.
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Dec 8, 2023: Lisa Julia Nebel successfully defended her PhD thesis on Formation of Wrinkles on a Coated Substrate.
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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.
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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.
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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
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Aug 21, 2023: Patrick Jaap successfully defended his PhD thesis on Efficient and Globally Convergent Minimization Algorithms for Small- and Finite-Strain Plasticity Problems.
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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.
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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.
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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.
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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.
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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.
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Feb 21, 2023: Ruth Schöbel successfully defended her PhD thesis on "PFASST and Newton-Multigrid methods for nonlinear time-dependent problems".
Bachelor and Master theses:
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.