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Hierarchical quadrature for multidimensional singular integrals
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P. Meszmer
Published/Copyright:
June 21, 2010
Abstract
We introduce a method for the evaluation of singular integrals arising in the discretisation of integral equations. The method is based on the idea of repeated subdivision of domains. The integrals defined on these subdomains are classified. Each class can be expressed as a sum of regular integrals and representatives of other classes. A system of equations describes the relations between the classes. Therefore the approximate value of the singular integral only depends on the accuracy of the calculation of regular integrals.
Keywords:: numerical cubature; singular integrals
Received: 2010-02-02
Revised: 2010-04-19
Published Online: 2010-06-21
Published in Print: 2010-June
© de Gruyter 2010
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Articles in the same Issue
- Hierarchical quadrature for multidimensional singular integrals
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- Localised FE-analysis of Strang's problem based on Lagrange techniques
- Validation of a demand forecasting method based on a stochastic process using real-world data
