NUMERICAL QUADRATURES FOR LAYER POTENTIALS OVER CURVED DOMAINS IN R3

被引：14
|
作者：
GUERMOND, JL
机构：
[1] Cent Natl de la Recherche, Scientifique, Orsay
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 05期
关键词：
BOUNDARY INTEGRAL METHODS; LAYER POTENTIALS; NUMERICAL QUADRATURES; PSEUDOHOMOGENEITY;
D O I：
10.1137/0729078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Numerical quadratures for calculating simple and double layer potentials over curved domains in R3 are given. More generally, these numerical quadratures are shown to be useful for evaluating surface integral involving kernels which are pseudohomogeneous of degree - 1. In addition to potential flow problems, such kernels are encountered when dealing with Helmholtz problem, Stokes flow problems, or linear elasticity problems.
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页码：1347 / 1369
页数：23
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