Appendix B

Gauss Integration

Abstract

The success of the BEM as a computational method is contingent upon evaluating accurately line and domain integrals. Gauss integration is most suitable for this purpose. This appendix explains the concept of the method and develops it for the evaluation of line integrals of regular functions and functions exhibiting logarithmic singularity. The Gauss integration is also presented for the evaluation of double integrals of regular functions over square and triangular domains. The resulting schemes are useful for the numerical evaluation of double integrals over domains of arbitrary shape after their discretization in rectangular or triangular domains. The coordinates of the Gauss points and the corresponding ...

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