Prof. Dr. Daniel Peterseim

Lehrstuhlinhaber
Numerische Mathematik
Telefon: +49 821 598-2194
E-Mail:
Raum: 2302 (I)
Sprechzeiten: nach Vereinbarung
Adresse: Universitätsstraße 12, 86159 Augsburg
Sekretariat
Numerische Mathematik

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Lebenslauf

2021-             Direktor des Zentrums für Advanced Analytics and Predictive Sciences, Universität Augsburg
2017-             Professor für Numerische Mathematik, Universität Augsburg

2016              Habilitation Mathematik, Humboldt-Universität zu Berlin

2013-2017     Professor für Numerische Simulation, Universität Bonn
2009-2013     Nachwuchsgruppenleiter, DFG Forschungszentrum Matheon, Humboldt-Universität zu Berlin

2009              Wissenschaftlicher Mitarbeiter, Humboldt-Universität zu Berlin

2007              Promotion Mathematik, Universität Zürich

2004-2008     Wissenschaftlicher Mitarbeiter, Universität Zürich

2004              Diplom Mathematik, Technische Universität Ilmenau

 

(ausführlicher Lebenslauf)

Forschungsschwerpunkte

  • Numerische Methoden für partielle Differentialgleichungen

  • Multiskalenprobleme, stochastische Modelle und Hochdimensionalität

  • Quantenalgorithmen für wissenschaftliches Rechnen

  • Numerische Quantenphysik und Quantenchemie

  • Wissenschaftliches maschinelles Lernen und datengetriebene Modellierung

  • Anwendungen in Mechanik, Materialwissenschaften, Physik, Chemie und Medizin

Daniel Peterseims Forschung entwickelt mathematische und rechnergestützte Methoden für komplexe wissenschaftliche Modelle, mit besonderem Schwerpunkt auf partiellen Differentialgleichungen, Multiskalenstrukturen, stochastischen Modellen und Hochdimensionalität. Seine Arbeiten umfassen numerische Homogenisierung, Localized Orthogonal Decomposition, Wellenausbreitung, stochastische Multiskalenmedien, Kohn-Sham- und Dichtefunktionalmodelle, Gross-Pitaevskii-Gleichungen sowie datengetriebene Methoden für Mechanik und Materialwissenschaften. Neuere Forschungsrichtungen betreffen Quantenalgorithmen für wissenschaftliches Rechnen, wobei Ideen aus der numerischen Analysis, Vorkonditionierung, Approximationstheorie und dem wissenschaftlichen Rechnen in Quantenalgorithmen, Block-Encodings und Software für aufkommende Quantenhardware übertragen werden.

Lehrveranstaltungen

Kurs Heimateinrichtung Dozent Semester Typ Sprache

Publikationen

 

Copyright © 2021 by the Society for Industrial and Applied Math

 

A. Målqvist and D. Peterseim. Numerical homogenization by localized orthogonal decomposition. SIAM Spotlights 5, ISBN: 978-1-611976-44-1, 2020.
SIAM ]
2026 | 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2004

2026

Daniel Peterseim, Jan-Frederik Pietschmann, Jonas Püschel and Kilian Ruess
Neural network acceleration of iterative methods for nonlinear Schrödinger eigenvalue problems

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Moritz Hauck, Yizhou Liang and Daniel Peterseim
Positivity preserving finite element method for the Gross–Pitaevskii ground state: discrete uniqueness and global convergence

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2025

Moritz Hauck, Hannah Mohr and Daniel Peterseim
A simple collocation-type approach to numerical stochastic homogenization

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Daniel Peterseim, Jonas Püschel and Tatjana Stykel
Energy-adaptive Riemannian conjugate gradient method for density functional theory

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Dietmar Gallistl, Moritz Hauck, Yizhou Liang and Daniel Peterseim
Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound

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Loïc Balazi, Timo Neumeier, Malte A. Peter and Daniel Peterseim
Neural network enhanced polyconvexification of isotropic energy densities in computational mechanics

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Matthias Deiml and Daniel Peterseim
Quantum realization of the finite element method

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Matthias Deiml and Daniel Peterseim
Quantum sampling and moment estimation for transformed Gaussian random fields

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Robert Altmann, Martin Hermann, Daniel Peterseim and Tatjana Stykel
Riemannian optimization methods for ground states of multicomponent Bose–Einstein condensates

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Camilla Belponer, José C. Garay, Peter Munch and Daniel Peterseim
Super-localized orthogonal decomposition method for heterogeneous linear elasticity

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2024

Francesca Bonizzoni, Moritz Hauck and Daniel Peterseim
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems

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Philip Freese, Moritz Hauck, Tim Keil and Daniel Peterseim
A super-localized generalized finite element method

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Timo Neumeier, Malte A. Peter, Daniel Peterseim and David Wiedemann
Computational polyconvexification of isotropic functions

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Maximilian Köhler, Timo Neumeier, Malte A. Peter, Daniel Peterseim and Daniel Balzani
Hierarchical rank-one sequence convexification for the relaxation of variational problems with microstructures

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Jose C. Garay, Hannah Mohr, Daniel Peterseim and Christoph Zimmer
Hierarchical super-localized orthogonal decomposition method

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Stuart C. Hawkins, Luke G. Bennetts, Matthew A. Nethercote, Malte A. Peter, Daniel Peterseim, Henry J. Putley and Barbara Verfürth
Metamaterial applications of Tmatsolver, an easy-to-use software for simulating multiple wave scattering in two dimensions

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Daniel Balzani, Maximilian Köhler, Timo Neumeier, Malte A. Peter and Daniel Peterseim
Multidimensional rank-one convexification of incremental damage models at finite strains

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Matthias Deiml and Daniel Peterseim
Nonlinear quantum computing by amplified encodings

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Paul Seibert, Alexander Raßloff, Yichi Zhang, Karl Kalina, Paul Reck, Daniel Peterseim and Markus Kästner
Reconstructing microstructures from statistical descriptors using neural cellular automata

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Robert Altmann, Daniel Peterseim and Tatjana Stykel
Riemannian Newton methods for energy minimization problems of Kohn-Sham type

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Francesca Bonizzoni, Philip Freese and Daniel Peterseim
Super-localized orthogonal decomposition for convection-dominated diffusion problems

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Philip Freese, Moritz Hauck and Daniel Peterseim
Super-localized orthogonal decomposition for high-frequency Helmholtz problems

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2023

Philip Freese, Dietmar Gallistl, Daniel Peterseim and Timo Sprekeler
Computational multiscale methods for nondivergence-form elliptic partial differential equations

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Fabian Kröpfl, Roland Maier and Daniel Peterseim
Neural network approximation of coarse-scale surrogates in numerical homogenization

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Maximilian Köhler, Timo Neumeier, Daniel Peterseim, Malte A. Peter and Daniel Balzani
Relaxed incremental formulations for damage at finite strains including strain softening

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Paul Reck, Paul Seibert, Alexander Raßloff, Markus Kästner and Daniel Peterseim
Scattering transform in microstructure reconstruction

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Moritz Hauck and Daniel Peterseim
Super-localization of elliptic multiscale problems

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2022

Maximilian Köhler, Timo Neumeier, Jan Melchior, Malte A. Peter, Daniel Peterseim and Daniel Balzani
Adaptive convexification of microsphere-based incremental damage for stress and strain softening at finite strains

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Paul Hennig, Markus Kästner, Roland Maier, Philipp Morgenstern and Daniel Peterseim
Adaptive isogeometric phase-field modeling of weak and strong discontinuities

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Robert Altmann, Daniel Peterseim and Tatjana Stykel
Energy-adaptive Riemannian optimization on the Stiefel manifold

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Robert Altmann, Patrick Henning and Daniel Peterseim
Localization and delocalization of ground states of Bose-Einstein condensates under disorder

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Moritz Hauck and Daniel Peterseim
Multi-resolution localized orthogonal decomposition for Helmholtz problems

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Fabian Kröpfl, Roland Maier and Daniel Peterseim
Operator compression with deep neural networks

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2021

Julian Fischer, Dietmar Gallistl and Daniel Peterseim
A priori error analysis of a numerical stochastic homogenization method

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Maximilian Köhler, Timo Neumeier, Daniel Peterseim, Malte A. Peter and Daniel Balzani
An enhanced algorithmic scheme for relaxed incremental variational damage formulations at finite strains

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Robert Altmann, Patrick Henning and Daniel Peterseim
Numerical homogenization beyond scale separation

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Robert Altmann, Patrick Henning and Daniel Peterseim
The J-method for the Gross-Pitaevskii eigenvalue problem

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2020

Paul Hennig, Roland Maier, Daniel Peterseim, Dominik Schillinger, Barbara Verfürth and Markus Kästner
A diffuse modeling approach for embedded interfaces in linear elasticity

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Daniel Peterseim and Barbara Verfürth
Computational high frequency scattering from high contrast heterogeneous media

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Datei: Postprint

Robert Altmann, E. Chung, Roland Maier, Daniel Peterseim and S.-M. Pun
Computational multiscale methods for linear heterogeneous poroelasticity

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Daniel Peterseim, D. Varga and Barbara Verfürth
From domain decomposition to homogenization theory

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Robert Altmann, Patrick Henning and Daniel Peterseim
Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials

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A. Caiazzo, Roland Maier and Daniel Peterseim
Reconstruction of quasi-local numerical effective models from low-resolution measurements

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Patrick Henning and Daniel Peterseim
Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency

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Michael Feischl and Daniel Peterseim
Sparse compression of expected solution operators

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2019

Christoph J. Paulus, Roland Maier, Daniel Peterseim and Stéphane Cotin
An immersed boundary method for detail-preserving soft tissue simulation from medical images

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Shubin Fu, Robert Altmann, Eric T. Chung, Roland Maier, Daniel Peterseim and Sai-Mang Pun
Computational multiscale methods for linear poroelasticity with high contrast

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Christian Engwer, Patrick Henning, Axel Målqvist and Daniel Peterseim
Efficient implementation of the localized orthogonal decomposition method

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Roland Maier and Daniel Peterseim
Explicit computational wave propagation in micro-heterogeneous media

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Robert Altmann and Daniel Peterseim
Localized computation of eigenstates of random Schrödinger operators

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Dietmar Gallistl and Daniel Peterseim
Numerical stochastic homogenization by quasilocal effective diffusion tensors

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2018

Ralf Kornhuber, Daniel Peterseim and Harry Yserentant
An analysis of a class of variational multiscale methods based on subspace decomposition

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Guanglian Li, Daniel Peterseim and Mira Schedensack
Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in two dimensions

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Robert Altmann, Daniel Peterseim and Dora Varga
Localization studies for ground states of the Gross‐Pitaevskii equation

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Donald L. Brown, Joscha Gedicke and Daniel Peterseim
Numerical homogenization of heterogeneous fractional Laplacians

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2017

Paul Hennig, Markus Kästner, Philipp Morgenstern and Daniel Peterseim
Adaptive mesh refinement strategies in isogeometric analysis - a computational comparison

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Dietmar Gallistl and Daniel Peterseim
Computation of quasi-local effective diffusion tensors and connections to the mathematical theory of homogenization

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Patrick Henning and Daniel Peterseim
Crank–Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials

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Daniel Peterseim
Eliminating the pollution effect in Helmholtz problems by local subscale correction

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Axel Målqvist and Daniel Peterseim
Generalized finite element methods for quadratic eigenvalue problems

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Donald L. Brown, Dietmar Gallistl and Daniel Peterseim
Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations

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Dietmar Gallistl, P. Huber and Daniel Peterseim
On the stability of the Rayleigh–Ritz method for eigenvalues

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Daniel Peterseim and Mira Schedensack
Relaxing the CFL condition for the wave equation on adaptive meshes

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Hadiseh Alaeian, Mira Schedensack, Clara Bartels, Daniel Peterseim and Martin Weitz
Thermo-optical interactions in a dye-microcavity photon Bose–Einstein condensate

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2016

Donald L. Brown and Daniel Peterseim
A multiscale method for porous microstructures

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Annalisa Buffa, Carlotta Giannelli, Philipp Morgenstern and Daniel Peterseim
Complexity of hierarchical refinement for a class of admissible mesh configurations

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Daniel Peterseim
Computational Multiscale Methods for Elliptic Partial Differential Equations

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Habilitationsschrift, 2016

Dietmar Gallistl, Daniel Peterseim and Carsten Carstensen
Multiscale Petrov-Galerkin FEM for Acoustic Scattering

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Daniel Peterseim and Mira Schedensack
Relaxing the CFL condition for the wave equation on adaptive meshes

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Daniel Peterseim and Robert Scheichl
Robust numerical upscaling of elliptic multiscale problems at high contrast

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Carsten Carstensen, Daniel Peterseim and Andreas Schröder
The norm of a discretized gradient in H(div)∗ for a posteriori finite element error analysis

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P. Bringmann, C. Carstensen, Dietmar Gallistl, F. Hellwig, Daniel Peterseim, S. Puttkammer, H. Rabus and J. Storn
Towards adaptive discontinuous Petrov-Galerkin methods

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Daniel Peterseim
Variational multiscale stabilization and the exponential decay of fine-scale correctors

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2015

Philipp Morgenstern and Daniel Peterseim
Analysis-suitable adaptive T-mesh refinement with linear complexity

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C. Carstensen, K. Köhler, Daniel Peterseim and Mira Schedensack
Comparison results for the Stokes equations

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Axel Målqvist and Daniel Peterseim
Computation of eigenvalues by numerical upscaling

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Dietmar Gallistl and Daniel Peterseim
Multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering

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Patrick Henning, Philipp Morgenstern and Daniel Peterseim
Multiscale partition of unity

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Martin Eigel and Daniel Peterseim
Simulation of composite materials by a network FEM with error control

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Dietmar Gallistl and Daniel Peterseim
Stable multiscale Petrov–Galerkin finite element method for high frequency acoustic scattering

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2014

Patrick Henning, Axel Målqvist and Daniel Peterseim
A localized orthogonal decomposition method for semi-linear elliptic problems

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Daniel Peterseim
Composite finite elements for elliptic interface problems

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Carsten Carstensen, Björn Engquist and Daniel Peterseim
Computational multiscale methods: introduction by the organisers

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Axel Målqvist and Daniel Peterseim
Localization of elliptic multiscale problems

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Axel Målqvist and Daniel Peterseim
Multiscale techniques for solving quadratic eigenvalue problems

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Patrick Henning, Axel Målqvist and Daniel Peterseim
Two-level discretization techniques for ground state computations of Bose-Einstein condensates

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2013

Daniel Elfverson, Emmanuil H. Georgoulis, Axel Målqvist and Daniel Peterseim
Convergence of a discontinuous Galerkin multiscale method

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Daniel Peterseim and Carsten Carstensen
Finite element network approximation of conductivity in particle composites

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Axel Målqvist and Daniel Peterseim
Numerical upscaling of eigenvalue problems

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Carsten Carstensen, Daniel Peterseim and Hella Rabus
Optimal adaptive nonconforming FEM for the Stokes problem

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Patrick Henning and Daniel Peterseim
Oversampling for the multiscale finite element method

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Daniel Peterseim and Axel Målqvist
Spectrum-preserving two-scale decompositions with applications to numerical homogenizations and eigensolvers

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2012

Daniel Peterseim, C. Carstensen and Mira Schedensack
Comparison of finite element methods for the Poisson model problem

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Mira Schedensack, C. Carstensen and Daniel Peterseim
Comparison results for first-order FEMs

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C. Carstensen, Daniel Peterseim and Mira Schedensack
Comparison results of finite element methods for the Poisson model problem

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Daniel Peterseim and Axel Målqvist
Finite element discretization of multiscale elliptic problems

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Daniel Peterseim and S. Sauter
Finite elements for elliptic problems with highly varying, nonperiodic diffusion matrix

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L. Banjai and Daniel Peterseim
Parallel multistep methods for linear evolution problems

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Daniel Peterseim
Robustness of finite element simulations in densely packed random particle composites

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2011

Daniel Peterseim and Stefan A. Sauter
Finite element methods for the Stokes problem on complicated domains

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2010

Daniel Peterseim
Composite Finite Elements for Elliptic Interface Problems

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Daniel Peterseim
Generalized delaunay partitions and composite material modeling

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2009

Daniel Peterseim
Finite element analysis of particle-reinforced composites

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2008

Daniel Peterseim and S. A. Sauter
Recent advances in composite finite elements

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Daniel Peterseim and Stefan A. Sauter
The composite mini element - coarse mesh computation of Stokes flows on complicated domains

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2007

Daniel Peterseim
The composite mini element: a mixed FEM for the Stokes equations on complicated domains

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PhD Thesis

Daniel Peterseim and Stefan A. Sauter
The composite mini element: a new mixed FEM for the Stokes equations on complicated domains

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2004

Daniel Peterseim
Numerische Analyse parameterabhängiger periodischer Orbits nichtlinearer dynamischer Systeme mittels Mehrzielmethode und effizienter Fortsetzungstechniken

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Masterarbeit, IfMath, 2004

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