| SINGULARITIES IN BOUNDARY ELEMENT METHODS |
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| 引用本文： | Zhu Jialin Department of Natural Science. SINGULARITIES IN BOUNDARY ELEMENT METHODS[J]. 保鲜与加工, 1991, 0(2) |
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| 作者姓名： | Zhu Jialin Department of Natural Science |
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| 作者单位： | Zhu Jialin Department of Natural Science |
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| 摘 要： | This paper presents an all round review of recent deve-lopments in treating the singularities in boundary element methods bothfor numerical computing and for mathematical analysing.Approachesfor numerical treatment of singular and hyper-singular integrations arelisted.Singular behaviour of solution on non-smooth boundary are discus-sed and the mathematical tools for describing it,such as the Sobolevspaces defined on a part of boundary,the pseudo-differential operatorsare presented.In order to incorporate the singular behaviour into theboundary element approximation,the technique of introducing singularboundary element is suggested.
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| 关 键 词： | boundary element method singularity singular integral non-smooth boundary singular boundary element. |
SINGULARITIES IN BOUNDARY ELEMENT METHODS |
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| Zhu Jialin. SINGULARITIES IN BOUNDARY ELEMENT METHODS[J]. Storage & Process, 1991, 0(2) |
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| Authors: | Zhu Jialin |
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| Affiliation: | Zhu Jialin Department of Natural Science |
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| Abstract: | This paper presents an all round review of recent deve-lopments in treating the singularities in boundary element methods bothfor numerical computing and for mathematical analysing.Approachesfor numerical treatment of singular and hyper-singular integrations arelisted.Singular behaviour of solution on non-smooth boundary are discus-sed and the mathematical tools for describing it,such as the Sobolevspaces defined on a part of boundary,the pseudo-differential operatorsare presented.In order to incorporate the singular behaviour into theboundary element approximation,the technique of introducing singularboundary element is suggested. |
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| Keywords: | boundary element method singularity singular integral non-smooth boundary singular boundary element. |
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