A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner

Recent advances in high performance computing systems and sensing technologies motivate computational simulations with extremely high resolution models with capabilities to quantify uncertainties for credible numerical predictions. A two-level domain decomposition method is reported in this investig...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 257; no. Part A; pp. 298 - 317
Main Authors:	Subber, Waad, Sarkar, Abhijit
Format:	Journal Article
Language:	English
Published:	United States Elsevier Inc 15.01.2014
Subjects:	ALGORITHMS Balancing domain decomposition by constraints CHAOS THEORY Coarsening Computation Computer simulation DECOMPOSITION Domain decomposition method Domain decomposition methods ELASTICITY ENGINEERING FINITE ELEMENT METHOD IMPLEMENTATION ITERATIVE METHODS MATHEMATICAL METHODS AND COMPUTING Neumann–Neumann preconditioner Numerical prediction PARTIAL DIFFERENTIAL EQUATIONS Polynomial chaos expansion POLYNOMIALS POROUS MATERIALS Schur complement system Solvers Stochastic finite element method Stochastic PDEs STOCHASTIC PROCESSES Stochasticity Domain decomposition method Balancing domain decomposition by constraints Stochastic PDEs Neumann–Neumann preconditioner Stochastic finite element method Polynomial chaos expansion Schur complement system
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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