| Mixed Finite Element Method and Higher-Order Local Artificial Boundary Conditions for Exterior 3-D Poisson Equation |
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| 作者姓名： | 韩厚德 郑春雄 |
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| 作者单位： | HAN Houde，ZHENG Chunxiong Department of Mathematical Sciences，Tsinghua University，Beijing 100084，China |
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| 基金项目： | Supported by the National Natural Science Foundation
of China(No.19772 0 2 2 ) |
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| 摘 要： | IntroductionAnalysis of partial differential equations on anunbounded domain often requires artificialboundaries to limit the problem to a boundedcomputational domain.Such situations can arise inmany applications such as geophysical calculationsinvolving …
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Mixed Finite Element Method and Higher-Order Local Artificial Boundary Conditions for Exterior 3-D Poisson Equation |
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| HAN Houde,ZHENG Chunxiong.Mixed Finite Element Method and Higher-Order Local Artificial Boundary Conditions for Exterior 3-D Poisson Equation[J].Tsinghua Science and Technology,2002,7(3). |
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| Authors: | HAN Houde ZHENG Chunxiong |
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| Institution: | HAN Houde,ZHENG Chunxiong Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China |
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| Abstract: | The mixed finite element method is used to solve the exterior Poisson equations with higher-order local artificial boundary conditions in 3-D space. New unknowns are introduced to reduce the order of the derivatives of the unknown to two. The result is an equivalent mixed variational problem which was solved using bilinear finite elements. The primary advantage is that special finite elements are not needed on the adjacent layer of the artificial boundary for the higher-order derivatives. Error estimates are obtained for some local artificial boundary conditions with prescibed orders. A numerical example demonstrates the effectiveness of this method. |
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| Keywords: | artificial boundary high-order artificial boundary condition mixed finite element method |
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