On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals (Q2712699)
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scientific article
| Language | Label | Description | Also known as |
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| English | On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals |
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On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals (English)
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21 January 2002
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boundary element method
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weakly singular integrals
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numerical integration
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non-linear transformations
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smoothing
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convergence
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method of singularity subtraction
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This paper presents a study of nonlinear coordinate transformations in the numerical integration of weakly singular boundary integrals. This study includes the comparison of the smoothing property, the numerical convergence and accuracy, the effectiveness of generalized transformations, and the connection between the maximum permissible order of polynomial transformation and the precision of computations. In addition, the authors propose a new approach which combines the method of singularity subtraction with nonlinear transformations.
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