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.

引用

页码：1347 / 1369

页数：23

共 50 条

[1] HIGH-ORDER NUMERICAL QUADRATURES FOR LAYER POTENTIALS OVER CURVED DOMAINS IN R3
GUERMOND, JL
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 116 (1-4) : 257 - 263
[2] Minimal graphs in R3 over convex domains
Dorff, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (02) : 491 - 498
[3] Nonpositively curved surfaces in R3
Chan, H
Treibergs, A
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 2001, 57 (03) : 389 - 407
[4] EQUILIBRIUM VECTOR POTENTIALS IN R3
YAMAGUCHI, H
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1992, 68 (07) : 164 - 166
[5] ANALYTICAL GALERKIN BOUNDARY INTEGRALS OF LAPLACE KERNEL LAYER POTENTIALS IN R3
Gumerov, Nail a.
Kaneko, Shoken
Duraiswami, Ramani
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2024, 46 (02): : A974 - A997
[6] Recursive analytical quadrature for the close evaluation of Laplace and Helmholtz layer potentials over flat boundary elements in R3
Kaneko, Shoken
Gumerov, Nail A.
Duraiswami, Ramani
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2024, 159 : 259 - 271
[7] Simply connected nonpositively curved surfaces in R3
Chan, HR
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2006, 223 (01) : 1 - 4
[8] Evaluation of single layer potentials over curved surfaces
Farina, L
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2001, 23 (01): : 81 - 91
[9] On a Runge theorem over R3
Bisi, Cinzia
De Martino, Antonino
Winkelmann, Joerg
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2023, 202 (04) : 1531 - 1556
[10] TREATMENT OF BOUNDARY VALUE PROBLEMS IN R3 WITH SINGLE- AND DOUBLE-LAYER POTENTIALS
WENDLAND, W
[J]. NUMERISCHE MATHEMATIK, 1968, 11 (05) : 380 - &

← 1 2 3 4 5 →