Stochastic Galerkin methods for elliptic interface problems with random input

DOI10.1016/j.cam.2011.05.033zbMath1252.65020OpenAlexW1986587390MaRDI QIDQ651914

Tao Zhou

Publication date: 19 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.05.033

zbMATH Keywords

convergenceGalerkin methodnumerical examplesimmersed finite elementbi-orthogonal polynomialsrandom elliptic interface problems

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)

Related Items (5)

Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients ⋮ A sparse grid stochastic collocation method for elliptic interface problems with random input ⋮ An offline/online algorithm for a class of stochastic multiple obstacle scattering configurations in the half-plane ⋮ Application of direct meshless local <scp>Petrov–Galerkin</scp> method for numerical solution of stochastic elliptic interface problems ⋮ Efficient stochastic Galerkin methods for Maxwell's equations with random inputs

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