Martin Eigel
Martin Eigel
Verified email at wias-berlin.de
TitleCited byYear
Adaptive Stochastic Galerkin FEM
M Eigel, CJ Gittelson, C Schwab, E Zander
Computer Methods in Applied Mechanics and Engineering 270, 247-269, 2014
852014
A review of unified a posteriori finite element error control
C Carstensen, M Eigel, RHW Hoppe, C Löbhard
Numerical Mathematics: Theory, Methods and Applications 5 (4), 509-558, 2012
602012
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes
M Eigel, CJ Gittelson, C Schwab, E Zander
ESAIM: Mathematical Modelling and Numerical Analysis 49 (5), 1367-1398, 2015
432015
Maximal regularity for nonsmooth parabolic problems in Sobolev-Morrey spaces
JA Griepentrog
Advances in Differential Equations 12 (9), 1031-1078, 2007
422007
Adaptive stochastic Galerkin FEM with hierarchical tensor representations
M Eigel, M Pfeffer, R Schneider
Numerische Mathematik 136 (3), 765-803, 2017
372017
Computational competition of symmetric mixed FEM in linear elasticity
C Carstensen, M Eigel, J Gedicke
Computer methods in applied mechanics and engineering 200 (41-44), 2903-2915, 2011
302011
Influence of cell shape, inhomogeneities and diffusion barriers in cell polarization models
W Giese, M Eigel, S Westerheide, C Engwer, E Klipp
Physical biology 12 (6), 066014, 2015
252015
An adaptive multilevel Monte Carlo method with stochastic bounds for quantities of interest with uncertain data
M Eigel, C Merdon, J Neumann
SIAM/ASA Journal on Uncertainty Quantification 4 (1), 1219-1245, 2016
202016
Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods
M Eigel, C Merdon
SIAM/ASA Journal on Uncertainty Quantification 4 (1), 1372-1397, 2016
152016
Alea-a python framework for spectral methods and low-rank approximations in uncertainty quantification
M Eigel, E Zander
Low rank surrogates for polymorphic fields 33, 0
10
Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization
M Eigel, K Sturm
Optimization Methods and Software 33 (2), 268-296, 2018
92018
Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin FEM
M Eigel, C Merdon
Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014
92014
A mesh-free partition of unity method for diffusion equations on complex domains
M Eigel, E George, M Kirkilionis
IMA journal of numerical analysis 30 (3), 629-653, 2010
82010
Variational monte carlo-bridging concepts of machine learning and high dimensional partial differential equations
M Eigel, R Schneider, P Trunschke, S Wolf
arXiv preprint arXiv:1810.01348, 2018
72018
SDE based regression for linear random PDEs
F Anker, C Bayer, M Eigel, M Ladkau, J Neumann, J Schoenmakers
SIAM Journal on Scientific Computing 39 (3), A1168-A1200, 2017
62017
The partition of unity meshfree method for solving transport-reaction equations on complex domains: implementation and applications in the life sciences
M Eigel, E George, M Kirkilionis
Meshfree methods for partial differential equations IV, 69-93, 2008
62008
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations
M Eigel, M Marschall, M Pfeffer, R Schneider
arXiv preprint arXiv:1811.00319, 2018
52018
Sampling-free Bayesian inversion with adaptive hierarchical tensor representations
M Eigel, M Marschall, R Schneider
Inverse Problems 34 (3), 035010, 2018
52018
Functional a posteriori error estimation for stationary reaction-convection-diffusion problems
M Eigel, T Samrowski
Computational Methods in Applied Mathematics 14 (2), 135-150, 2014
52014
Assessment and design of an engineering structure with polymorphic uncertainty quantification
I Papaioannou, M Daub, M Drieschner, F Duddeck, M Ehre, L Eichner, ...
GAMM‐Mitteilungen 42 (2), e201900009, 2019
42019
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