| A non-conforming domain decomposition for Raviart-Thomas vector fields in three dimensions |
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| 基金项目： | 国家重点基础研究发展计划(973计划)，国家自然科学基金 |
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| 摘 要： | In this paper we are concerned with a domain decomposition method with nonmatching grids for Raviart-Thomas finite elements. In this method, the normal complement of the resulting approximation is not continuous across the interface. To handle such non-conformity, a new matching condition will be introduced. Such matching condition still
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A non-conforming domain decomposition for Raviart-Thomas vector fields in three dimensions |
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| Authors: | HU Qiya |
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| Institution: | Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | In this paper we are concerned with a domain decomposition method with nonmatching grids for Raviart-Thomas finite elements. In this method, the normal complement of the resulting approximation is not continuous across the interface. To handle such non-conformity, a new matching condition will be introduced. Such matching condition still results in a symmetric and positive definite stiffness matrix. It will be shown that the approximate solution generated by the domain decomposition possesses the optimal energy error estimate. |
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| Keywords: | domain decomposition nonmatching grids Raviart- Thomas finite elements matching condition error estimate |
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