Journal of Computational and Applied Mathematics2022,Vol.41218.DOI:10.1016/j.cam.2022.114298

Block triangular preconditioning for stochastic Galerkin method

Wang, Dongwu Zheng, Bin Chen, Long Lin, Guang Xu, Jinchao
Journal of Computational and Applied Mathematics2022,Vol.41218.DOI:10.1016/j.cam.2022.114298

Block triangular preconditioning for stochastic Galerkin method

Wang, Dongwu 1Zheng, Bin 1Chen, Long 1Lin, Guang 2Xu, Jinchao3
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作者信息

  • 1. Beijing Univ Technol
  • 2. Purdue Univ
  • 3. Penn State Univ
  • 折叠

Abstract

In this paper, we develop a new block triangular preconditioner for solving partial differential equations with random coefficients. We prove spectral bounds for the preconditioned system. Several numerical examples are provided to demonstrate the efficiency of this preconditioner, especially for stochastic problems with large variance. (c) 2022 Elsevier B.V. All rights reserved.

Key words

Stochastic Galerkin method/Polynomial chaos/Block triangular preconditioner/Multigrid/PARTIAL-DIFFERENTIAL-EQUATIONS/ELLIPTIC PROBLEMS/PROJECTION METHOD/FINITE-ELEMENTS/FLUID-FLOW/COLLOCATION/MATRICES/SIMULATION

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量44
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