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Author ID: eigel.martin Recent zbMATH articles by "Eigel, Martin"
Published as: Eigel, Martin; Eigel, M.
External Links: MGP
all top 5

Co-Authors

0 single-authored
8 Schneider, Reinhold
7 Gruhlke, Robert
6 Trunschke, Philipp
5 Neumann, Johannes
4 Marschall, Manuel
3 Bayer, Christian
3 Carstensen, Carsten
3 George, Erwin
3 Grasedyck, Lars
3 Kirkilionis, Markus A.
3 Merdon, Christian
3 Moser, Dieter
3 Sommer, David
3 Wolf, Sebastian
2 Anker, Felix
2 Drieschner, Martin
2 Ehre, Max
2 Farchmin, Nando
2 Gittelson, Claude Jeffrey
2 Heidenreich, Sebastian
2 Hömberg, Dietmar
2 Miranda, Charles
2 Papaioannou, Iason
2 Petryna, Yuri
2 Pfeffer, Max
2 Schoenmakers, John G. M.
2 Schwab, Christoph
2 Straub, Daniel
2 Zander, Elmar K.
1 Athale, Chaitanya A.
1 Bastian, Peter
1 Biehler, Jonas
1 Brumme, Stephan
1 Daub, Marco
1 Domijan, Mirela
1 Duddeck, Fabian M. E.
1 Eichner, Lukas
1 Eils, Roland
1 Ernst, Oliver G.
1 Gedicke, Joscha
1 Götz, Marco
1 Graf, Wolfgang
1 Gühring, Ingo
1 Hegemann, Nando
1 Heiss, Cosmas
1 Henning, Carla
1 Hermann, Harald
1 Hoppe, Ronald H. W.
1 Kaliske, Michael
1 Kappel, Constantin
1 Kastian, Steffen
1 Kohlsche, Thomas
1 Ladkau, Marcel
1 Leyendecker, Sigrid
1 Li, Mike
1 Löbhard, Caroline
1 Müller, Rüdiger
1 Multerer, Michael D.
1 Nouy, Anthony
1 Ostermeyer, Georg-Peter
1 Peterseim, Daniel
1 Pfaller, Martin R.
1 Pivovarov, Dmytro
1 Reese, Stefanie
1 Ricken, Tim
1 Sallandt, Leon
1 Samrowski, Tatiana S.
1 Sbano, Luca
1 Schütte, Janina
1 Sprungk, Björn
1 Srisupattarawanit, Tarin
1 Steinmann, Paul
1 Sturm, Kevin
1 Tamellini, Lorenzo
1 Volz, Dietmar
1 von Estorff, Otto
1 Wall, Wolfgang A.
1 Willner, Kai

Publications by Year

Citations contained in zbMATH Open

23 Publications have been cited 293 times in 187 Documents Cited by Year
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
65
2014
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
32
2012
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes. Zbl 1335.65006
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
30
2015
Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Zbl 1397.65262
Eigel, Martin; Pfeffer, Max; Schneider, Reinhold
27
2017
Computational competition of symmetric mixed FEM in linear elasticity. Zbl 1230.74172
Carstensen, C.; Eigel, M.; Gedicke, J.
21
2011
An adaptive multilevel Monte Carlo method with stochastic bounds for quantities of interest with uncertain data. Zbl 1398.35306
Eigel, Martin; Merdon, Christian; Neumann, Johannes
19
2016
Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. Zbl 1398.65297
Eigel, Martin; Merdon, Christian
17
2016
Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization. Zbl 1388.35036
Eigel, M.; Sturm, Kevin
13
2018
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold
10
2020
Sampling-free Bayesian inversion with adaptive hierarchical tensor representations. Zbl 1404.65261
Eigel, Martin; Marschall, Manuel; Schneider, Reinhold
9
2018
Variational Monte Carlo – bridging concepts of machine learning and high-dimensional partial differential equations. Zbl 1435.68258
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp; Wolf, Sebastian
9
2019
Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
7
2019
SDE based regression for linear random PDEs. Zbl 1372.65012
Anker, Felix; Bayer, Christian; Eigel, Martin; Ladkau, Marcel; Neumann, Johannes; Schoenmakers, John
5
2017
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. Zbl 1508.65163
Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo
5
2022
Equilibration a posteriori error estimation for convection-diffusion-reaction problems. Zbl 1353.65113
Eigel, M.; Merdon, C.
4
2016
Low-rank tensor reconstruction of concentrated densities with application to Bayesian inversion. Zbl 1484.62002
Eigel, Martin; Gruhlke, Robert; Marschall, Manuel
4
2022
A mesh-free partition of unity method for diffusion equations on complex domains. Zbl 1195.65169
Eigel, M.; George, E.; Kirkilionis, M.
3
2010
An adaptive stochastic Galerkin tensor train discretization for randomly perturbed domains. Zbl 1447.65137
Eigel, Martin; Marschall, Manuel; Multerer, Michael
3
2020
The partition of unity meshfree method for solving transport-reaction equations on complex domains: implementation and applications in the life sciences. Zbl 1156.92012
Eigel, Martin; George, Erwin; Kirkilianis, Markus
2
2008
Simulation of composite materials by a network FEM with error control. Zbl 1309.74069
Eigel, Martin; Peterseim, Daniel
2
2015
Risk averse stochastic structural topology optimization. Zbl 1440.74291
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
2
2018
Convergence bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
2
2022
Functional a posteriori error estimation for stationary reaction-convection-diffusion problems. Zbl 1284.65167
Eigel, Martin; Samrowski, Tatiana
2
2014
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. Zbl 1508.65163
Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo
5
2022
Low-rank tensor reconstruction of concentrated densities with application to Bayesian inversion. Zbl 1484.62002
Eigel, Martin; Gruhlke, Robert; Marschall, Manuel
4
2022
Convergence bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
2
2022
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. Zbl 1439.65160
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold
10
2020
An adaptive stochastic Galerkin tensor train discretization for randomly perturbed domains. Zbl 1447.65137
Eigel, Martin; Marschall, Manuel; Multerer, Michael
3
2020
Variational Monte Carlo – bridging concepts of machine learning and high-dimensional partial differential equations. Zbl 1435.68258
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp; Wolf, Sebastian
9
2019
Non-intrusive tensor reconstruction for high-dimensional random PDEs. Zbl 1419.35259
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
7
2019
Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization. Zbl 1388.35036
Eigel, M.; Sturm, Kevin
13
2018
Sampling-free Bayesian inversion with adaptive hierarchical tensor representations. Zbl 1404.65261
Eigel, Martin; Marschall, Manuel; Schneider, Reinhold
9
2018
Risk averse stochastic structural topology optimization. Zbl 1440.74291
Eigel, Martin; Neumann, Johannes; Schneider, Reinhold; Wolf, Sebastian
2
2018
Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Zbl 1397.65262
Eigel, Martin; Pfeffer, Max; Schneider, Reinhold
27
2017
SDE based regression for linear random PDEs. Zbl 1372.65012
Anker, Felix; Bayer, Christian; Eigel, Martin; Ladkau, Marcel; Neumann, Johannes; Schoenmakers, John
5
2017
An adaptive multilevel Monte Carlo method with stochastic bounds for quantities of interest with uncertain data. Zbl 1398.35306
Eigel, Martin; Merdon, Christian; Neumann, Johannes
19
2016
Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. Zbl 1398.65297
Eigel, Martin; Merdon, Christian
17
2016
Equilibration a posteriori error estimation for convection-diffusion-reaction problems. Zbl 1353.65113
Eigel, M.; Merdon, C.
4
2016
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes. Zbl 1335.65006
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
30
2015
Simulation of composite materials by a network FEM with error control. Zbl 1309.74069
Eigel, Martin; Peterseim, Daniel
2
2015
Adaptive stochastic Galerkin FEM. Zbl 1296.65157
Eigel, Martin; Gittelson, Claude Jeffrey; Schwab, Christoph; Zander, Elmar
65
2014
Functional a posteriori error estimation for stationary reaction-convection-diffusion problems. Zbl 1284.65167
Eigel, Martin; Samrowski, Tatiana
2
2014
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
32
2012
Computational competition of symmetric mixed FEM in linear elasticity. Zbl 1230.74172
Carstensen, C.; Eigel, M.; Gedicke, J.
21
2011
A mesh-free partition of unity method for diffusion equations on complex domains. Zbl 1195.65169
Eigel, M.; George, E.; Kirkilionis, M.
3
2010
The partition of unity meshfree method for solving transport-reaction equations on complex domains: implementation and applications in the life sciences. Zbl 1156.92012
Eigel, Martin; George, Erwin; Kirkilianis, Markus
2
2008
all top 5

Cited by 311 Authors

20 Carstensen, Carsten
18 Eigel, Martin
12 Bespalov, Alexei
11 Schneider, Reinhold
10 Silvester, David J.
9 Powell, Catherine Elizabeth
8 Dolgov, Sergey V.
7 Merdon, Christian
7 Schwab, Christoph
6 Hu, Jun
6 Scheichl, Robert
5 Bachmayr, Markus
5 Nobile, Fabio
4 Bayer, Christian
4 Marschall, Manuel
4 Nataraj, Neela
4 Neumann, Johannes
4 Praetorius, Dirk
4 Rocchi, Leonardo
4 Trunschke, Philipp
4 Zhang, Shangyou
3 Feischl, Michael
3 Gedicke, Joscha
3 Gerster, Stephan
3 Khan, Arbaz
3 Khoromskiĭ, Boris Nikolaevich
3 Li, Minghao
3 Man, Hongying
3 Pfeffer, Max
3 Pinnau, René
3 Pultarová, Ivana
3 Ruggeri, Michele
3 Sallandt, Leon
3 Schoenmakers, John G. M.
3 Shi, Dongyang
3 Sturm, Kevin
3 Vohralík, Martin
2 Aquino, Wilkins
2 Bacuta, Constantin
2 Bertrand, Fleurianne
2 Bordas, Stéphane Pierre Alain
2 Bringmann, Philipp
2 Bungartz, Hans-Joachim
2 Crowder, Adam J.
2 Cui, Tiangang
2 Dai, Dihan
2 De Gersem, Herbert
2 Dietrich, Nicolas
2 Dond, Asha K.
2 Ebeling-Rump, Moritz
2 Epshteyn, Yekaterina
2 Farcas, Ionut-Gabriel
2 Gallistl, Dietmar
2 Gittelson, Claude Jeffrey
2 Grasedyck, Lars
2 Guignard, Diane
2 Hellwig, Friederike
2 Herty, Michael Matthias
2 Hömberg, Dietmar
2 Jacavage, Jacob
2 Kämmerer, Lutz
2 Kouri, Drew P.
2 Kressner, Daniel
2 Kutyniok, Gitta
2 Lasarzik, Robert
2 Laurain, Antoine
2 Li, Jichun
2 Loukrezis, Dimitrios
2 Marx, Thomas
2 Matthies, Hermann Georg
2 Multerer, Michael D.
2 Narayan, Akil C.
2 Neckel, Tobias
2 Oster, Mathias
2 Peherstorfer, Benjamin
2 Petersen, Philipp Christian
2 Potts, Daniel
2 Raslan, Mones
2 Redmann, Martin
2 Scarabosio, Laura
2 Tamellini, Lorenzo
2 Tempone, Raúl F.
2 Tran, Ngoc Tien
2 Uschmajew, André
2 Wolf, Sebastian
2 Xu, Feng
2 Zander, Elmar K.
2 Zou, Zilong
1 Agud, Lucía
1 Ainsworth, Mark
1 Allaire, Doug
1 Anaya-Izquierdo, Karim Alejandro
1 Anker, Felix
1 Aznaran, Francis R. A.
1 Ballani, Jonas
1 Barth, Andrea
1 Bean, Maranda
1 Beck, Andrea D.
1 Beck, Christian
1 Beck, Joakim
...and 211 more Authors
all top 5

Cited in 58 Serials

19 SIAM Journal on Scientific Computing
17 Computer Methods in Applied Mechanics and Engineering
17 SIAM/ASA Journal on Uncertainty Quantification
11 SIAM Journal on Numerical Analysis
10 Numerische Mathematik
8 Computers & Mathematics with Applications
8 Journal of Scientific Computing
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Computational Physics
4 Mathematics of Computation
4 Numerical Methods for Partial Differential Equations
4 Computational Methods in Applied Mathematics
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Advances in Computational Mathematics
2 Inverse Problems
2 Calcolo
2 International Journal for Numerical Methods in Engineering
2 Computational and Applied Mathematics
2 Journal of Numerical Mathematics
2 Science China. Mathematics
2 Statistics and Computing
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Journal of Mathematical Analysis and Applications
1 BIT
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Control and Optimization
1 Constructive Approximation
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 SIAM Journal on Optimization
1 Applied and Computational Harmonic Analysis
1 Engineering Analysis with Boundary Elements
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Quantitative Finance
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Multiscale Modeling & Simulation
1 Analysis and Applications (Singapore)
1 Acta Numerica
1 Communications in Computational Physics
1 SIAM Journal on Financial Mathematics
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Journal of Mathematics in Industry
1 Communications in Mathematics and Statistics
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 SMAI Journal of Computational Mathematics
1 SN Partial Differential Equations and Applications
1 Sampling Theory, Signal Processing, and Data Analysis
1 Journal of Computational Physics: X

Citations by Year