A Resourceful Splitting Technique with Applications to Deterministic and Stochastic Multiscale Finite Element Methods

DOI10.1137/110843253zbMath1261.65010arXiv1208.3406OpenAlexW1998227087MaRDI QIDQ4903661

Michael Presho, Lijian Jiang

Publication date: 24 January 2013

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3406

zbMATH Keywords

computational complexityconvergencenumerical resultsGreen's functionmultiscale finite element methodsstochastic elliptic equationsreduction of parameter space dimensionsparse grid collocation methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Complexity and performance of numerical algorithms (65Y20)

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