142 citations · 696 across the 46 of their papers we have counts for
50 papers
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…
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…
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…
Multilevel Domain Uncertainty Quantification in Computational Electromagnetics
Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab +1
We continue our study [Domain Uncertainty Quantification in Computational Electromagnetics, JUQ (2020), 8:301--341] of the numerical approximation of time-harmonic electromagnetic…
Monte Carlo convergence rates for th moments in Banach spaces
Kristin Kirchner, Christoph Schwab
We formulate standard and multilevel Monte Carlo methods for the th moment of a Banach space valued random variable , interpreted as…
Multiresolution kernel matrix algebra
H. Harbrecht, M. Multerer, O. Schenk +1
We propose a sparse algebra for samplet compressed kernel matrices, to enable efficient scattered data analysis. We show the compression of kernel matrices by means of samplets pro…