Convergence Rates of Sparse Tensor GPC FEM for Elliptic sPDEs

DOI10.1007/978-3-642-15337-2_7zbMath1216.65005OpenAlexW243022969MaRDI QIDQ2998514

Marcel Bieri, Christoph Schwab, Roman Andreev

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_7

zbMATH Keywords

convergencenumerical examplesstochastic elliptic PDEsstochastic Galerkin methodfinite element method (FEM)Galerkin polynomial chaos (GPC)sparse tensor algorithmsstochastic partial differential equations (sPDEs)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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