Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions |
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Authors: | Alfredo Cano Carlos Moreno |
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Affiliation: | 1.Department of Statistics and Numerical Analysis, Faculty of Science,UNED,Madrid,Spain |
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Abstract: | The implementations of the eXtended Finite Element Method and the Boundary Element Method need to face the challenge of integrating singular functions. Since standard quadrature techniques usually produce inaccurate results, a number of specific algorithms have been developed to address this problem. We present a general framework for the systematic formulation of the three-dimensional case. The classical cubic transformation is also considered, including an analytical optimization of its parameters for improved practical efficiency. |
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