Parallel Domain Decomposition Methods for Stochastic Elliptic Equations

DOI10.1137/060662381zbMath1149.65007OpenAlexW1999723468MaRDI QIDQ3525957

Xiao-Chuan Cai, Chao Jin, Congming Li

Publication date: 23 September 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/30568b2153b831d62bf0b7017ff575db4a70ccb4

zbMATH Keywords

algorithmnumerical examplesdomain decompositionpreconditioningparallel computationGMRES methodKarhunen-Loève expansionparallel scalabilitystochastic elliptic equationsrecycling Krylov subspace method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) 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 (13)

Accelerating Stochastic Collocation Methods for Partial Differential Equations with Random Input Data ⋮ An optimization based domain decomposition method for PDEs with random inputs ⋮ A survey of subspace recycling iterative methods ⋮ A multiscale preconditioner for stochastic mortar mixed finite elements ⋮ A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities ⋮ A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient ⋮ Cost reduction of stochastic Galerkin method by adaptive identification of significant polynomial chaos bases for elliptic equations ⋮ Hybrid Projection Methods with Recycling for Inverse Problems ⋮ Domain decomposition methods for linear and semilinear elliptic stochastic partial differential equations ⋮ Parallel preconditioners and multigrid solvers for stochastic polynomial chaos discretizations of the diffusion equation at the large scale ⋮ Stochastic finite element methods for partial differential equations with random input data ⋮ A FETI‐preconditioned conjugate gradient method for large‐scale stochastic finite element problems ⋮ Hybrid Projection Methods with Recycling for Inverse Problems

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