| Discontinuous Galerkin method for elliptic stochastic partial differential equations on two and three dimensional spaces |
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| 引用本文： | Rui-ming YAO~(1 ) Li-jun BO~(1,2) 1 Department of Mathematics,Xidian University,Xi'an 710071,China, 2 School of Mathematical Sciences,Nankai University,Tianjin 300071,China. Discontinuous Galerkin method for elliptic stochastic partial differential equations on two and three dimensional spaces[J]. 中国科学A辑(英文版), 2007, 50(11): 1661-1672. DOI: 10.1007/s11425-007-0103-7 |
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| 作者姓名： | Rui-ming YAO~(1 ) Li-jun BO~(1 2) 1 Department of Mathematics Xidian University Xi'an 710071 China 2 School of Mathematical Sciences Nankai University Tianjin 300071 China |
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| 作者单位： | Rui-ming YAO~(1 ) Li-jun BO~(1，2) 1 Department of Mathematics，Xidian University，Xi'an 710071，China; 2 School of Mathematical Sciences，Nankai University，Tianjin 300071，China |
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| 摘 要： | In this paper,we study a discontinuous Galerkin numerical scheme for a class of elliptic stochastic partial differential equations (abbr.elliptic SPDEs) driven by space white noises with ho- mogeneous Dirichlet boundary conditions for two and three space dimensions.We also establish L~2 error estimates for the scheme.In particular,a numerical test for d=2 is presented at the end of the article.
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Discontinuous Galerkin method for elliptic stochastic partial differential equations on two and three dimensional spaces |
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| Rui-ming Yao,Li-jun Bo. Discontinuous Galerkin method for elliptic stochastic partial differential equations on two and three dimensional spaces[J]. Science in China(Mathematics), 2007, 50(11): 1661-1672. DOI: 10.1007/s11425-007-0103-7 |
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| Authors: | Rui-ming Yao Li-jun Bo |
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| Affiliation: | 1. Department of Mathematics,Xidian University,Xi'an 710071,China
2. Department of Mathematics,Xidian University,Xi'an 710071,China;School of Mathematical Sciences,Nankai University,Tianjin 300071,China |
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| Abstract: | In this paper,we study a discontinuous Galerkin numerical scheme for a class of elliptic stochastic partial differential equations (abbr.elliptic SPDEs) driven by space white noises with ho- mogeneous Dirichlet boundary conditions for two and three space dimensions.We also establish L~2 error estimates for the scheme.In particular,a numerical test for d=2 is presented at the end of the article. |
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| Keywords: | discontinuous Galerkin numerical scheme elliptic SPDEs white noises |
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