142 citations · 696 across the 46 of their papers we have counts for
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math.AP2023
Weighted analytic regularity for the integral fractional Laplacian in polyhedra
Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1
On polytopal domains in , we prove weighted analytic regularity of solutions to the Dirichlet problem for the integral fractional Laplacian with analytic right-hand s…
math.NA2023
Multilevel Monte Carlo FEM for Elliptic PDEs with Besov Random Tree Priors
Christoph Schwab, Andreas Stein
We develop a multilevel Monte Carlo (MLMC)-FEM algorithm for linear, elliptic diffusion problems in polytopal domain , with Besov-tree random coeffic…
math.NA2023
A-posteriori QMC-FEM error estimation for Bayesian inversion and optimal control with entropic risk measure
Marcello Longo, Christoph Schwab, Andreas Stein
We propose a novel a-posteriori error estimation technique where the target quantities of interest are ratios of high-dimensional integrals, as occur e.g. in PDE constrained Bayesi…