The meshless standard and hypersingular boundary node methods -- applications to error estimation and adaptivity in three-dimensional problems (Q2712715)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The meshless standard and hypersingular boundary node methods -- applications to error estimation and adaptivity in three-dimensional problems |
scientific article |
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20 August 2001
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Cauchy singular integral equation
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boundary node method
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hypersingular boundary integral equations
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three-dimensional Laplace equation
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linear elasticity
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a posteriori error estimation
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adaptive refinement procedure
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data structures
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parallel implementation
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The meshless standard and hypersingular boundary node methods -- applications to error estimation and adaptivity in three-dimensional problems (English)
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The boundary node method (BNM) is the counterpart of the popular meshless method, applied to boundary integral equations. This paper investigates the BNM for Cauchy singular and hypersingular boundary integral equations coming from the three-dimensional Laplace equation and linear elasticity. A simple a posteriori error estimation and an adaptive refinement procedure are presented. Furthermore, some aspects of data structures and parallel implementation are described, and several numerical examples are given as illustration.
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