Martin Eigel

Available identifiers

zbMath Open eigel.martinMaRDI QIDQ267666

List of research outcomes

Publication	Date of Publication	Type
Assessment and design of an engineering structure with polymorphic uncertainty quantification	2023-12-14	Paper
Weighted sparsity and sparse tensor networks for least squares approximation	2023-10-13	Paper
Dynamical low‐rank approximations of solutions to the Hamilton–Jacobi–Bellman equation	2023-08-17	Paper
Pricing High-Dimensional Bermudan Options with Hierarchical Tensor Formats	2023-06-01	Paper
Adaptive Nonintrusive Reconstruction of Solutions to High-Dimensional Parametric PDEs	2023-05-04	Paper
Numerical upscaling of parametric microstructures in a possibilistic uncertainty framework with tensor trains	2023-03-17	Paper
Local surrogate responses in the Schwarz alternating method for elastic problems on random voided domains	2023-02-10	Paper
Guaranteed quasi-error reduction of adaptive Galerkin FEM for parametric PDEs with lognormal coefficients	2023-02-06	Paper
Less interaction with forward models in Langevin dynamics	2022-12-22	Paper
A FULLY ADAPTIVE INTERPOLATED STOCHASTIC SAMPLING METHOD FOR LINEAR RANDOM PDES	2022-11-24	Paper
Low-rank tensor reconstruction of concentrated densities with application to Bayesian inversion	2022-04-21	Paper
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	2022-04-13	Paper
Low-rank Wasserstein polynomial chaos expansions in the framework of optimal transport	2022-03-17	Paper
Convergence bounds for empirical nonlinear least-squares	2022-02-21	Paper
Efficient approximation of high-dimensional exponentials by tensornetworks	2021-05-19	Paper
An Adaptive Stochastic Galerkin Tensor Train Discretization for Randomly Perturbed Domains	2020-08-31	Paper
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion	2020-08-17	Paper
Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations	2020-07-07	Paper
Risk averse stochastic structural topology optimization	2020-04-07	Paper
Variational Monte Carlo -- bridging concepts of machine learning and high-dimensional partial differential equations	2020-03-11	Paper
Non-intrusive tensor reconstruction for high-dimensional random PDEs	2019-09-11	Paper
A posteriori error control for stationary coupled bulk-surface equations	2018-11-23	Paper
Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization	2018-05-02	Paper
Sampling-free Bayesian inversion with adaptive hierarchical tensor representations	2018-04-11	Paper
Adaptive stochastic Galerkin FEM with hierarchical tensor representations	2017-07-25	Paper
SDE Based Regression for Linear Random PDEs	2017-07-07	Paper
An Adaptive Multilevel Monte Carlo Method with Stochastic Bounds for Quantities of Interest with Uncertain Data	2016-12-21	Paper
Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods	2016-12-21	Paper
Equilibration a posteriori error estimation for convection-diffusion-reaction problems	2016-06-08	Paper
Reliable averaging for the primal variable in the Courant FEM and hierarchical error estimators on red-refined meshes	2016-04-11	Paper
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes	2015-11-03	Paper
Simulation of composite materials by a network FEM with error control	2015-02-18	Paper
Adaptive stochastic Galerkin FEM	2014-10-09	Paper
Functional a posteriori error estimation for stationary reaction-convection-diffusion problems	2014-04-07	Paper
A Review of Unified A Posteriori Finite Element Error Control	2013-11-19	Paper
Computational competition of symmetric mixed FEM in linear elasticity	2012-02-01	Paper
A mesh-free partition of unity method for diffusion equations on complex domains	2010-08-16	Paper
A Definition of Cellular Interface Problems	2009-07-28	Paper
The Partition of Unity Meshfree Method for Solving Transport-Reaction Equations on Complex Domains: Implementation and Applications in the Life Sciences	2009-02-12	Paper
Computational Methods in Systems Biology	2005-12-23	Paper

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