On analytical treatment of all boundary and volume integrals in BEM |
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Authors: | Tang Shaowu Feng Zhenxing |
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Institution: | (1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China |
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Abstract: | In this paper, the integrals appeared in BEM model for Poisson equation are all implemented analytically. Wherein, the boundary
and the domain are discretized by linear boundary elements and linear internal triangle cells respectively. The closed formulations
for all integrals are presented so that the computer effort for numerical solution is reduced considerably with higher accuray.
The numerical example shows that the results are more accurate in comparision with Gaussian integration in the same discrezition.
The basic idea of this paper could be extended to BEM model for Helmholtz equation and/or the time-dependent second other
differential equations.
Supported by the National Natural Science Foundation of China
Tang Shaowu: born in 1971, Ph. D. |
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Keywords: | boundary element analytical integration volume integral Poisson equation |
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