| Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations |
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| 作者姓名： | Tongke |
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| 摘 要： | <正>This paper presents alternating direction finite volume element methods for three-dimensional parabolic partial differential equations and gives four computational schemes,one is analogous to Douglas finite difference scheme with second-order splitting error,the other two schemes have third-order splitting error,and the last one is an extended LOD scheme.The L~2 norm and H~1 semi-norm error estimates are obtained for the first scheme and second one,respectively.Finally,two numerical examples are provided to illustrate the efficiency and accuracy of the methods.
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| 关 键 词： | Parabolic Equations Methods for Finite Volume Element partial differential equations finite difference scheme finite volume element alternating direction error estimates methods for provided presents norm extended two paper four LOD |
Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations |
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| Tongke.Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations[J].Numerical Mathematics A Journal of Chinese Universities English Series,2010,3(4). |
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| Authors: | Tongke Wang |
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| Abstract: | This paper presents alternating direction finite volume element methods for three-dimensional parabolic partial differential equations and gives four computational schemes, one is analogous to Douglas finite difference scheme with second-order splitting error, the other two schemes have third-order splitting error, and the last one is an extended LOD scheme. The L2 norm and H1 semi-norm error estimates are obtained for the first scheme and second one, respectively. Finally, two numerical examples are provided to illustrate the efficiency and accuracy of the methods. |
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| Keywords: | Three-dimensional parabolic equation alternating direction method finite volume element method error estimate |
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