QMC Galerkin Discretization of Parametric Operator Equations

DOI10.1007/978-3-642-41095-6_32zbMath1302.65020OpenAlexW2111418102MaRDI QIDQ2926242

Christoph Schwab

Publication date: 31 October 2014

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/154959

zbMATH Keywords

error boundsfinite element discretizationHelmholtz equationnonlinear initial value problemsparabolic problemsecond-order elliptic partial differential equationsGalerkin discretizationsquasi-Monte Carlo (QMC) quadrature

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs with randomness, stochastic partial differential equations (35R60)

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