A NYSTROM METHOD FOR THE NUMERICAL-SOLUTION OF LAPLACE EQUATION WITH NONLINEAR BOUNDARY-CONDITIONS ON A POLYGON

被引：0

作者：

DOUCETTE, RL

机构：

[1] Department of Mathematics, Computer Science and Statistics, McNeese State University, Lake Charles

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1994年 / 14卷 / 04期

关键词：

D O I：

10.1093/imanum/14.4.501

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A non-linear boundary value problem for Laplace's equation on a polygonal domain is solved with a Nystrom method applied to a boundary integral equation reformulation. The method uses meshes which are graded toward the corners. Numerical examples are included.

引用

页码：501 / 522

页数：22

共 50 条

[1] A COLLOCATION METHOD FOR THE NUMERICAL-SOLUTION OF LAPLACES-EQUATION WITH NONLINEAR BOUNDARY-CONDITIONS ON A POLYGON
DOUCETTE, RL
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (03) : 717 - 732
[2] INVESTIGATION OF ALGORITHMS FOR THE NUMERICAL-SOLUTION OF PARABOLIC-EQUATION SYSTEMS WITH NONLINEAR BOUNDARY-CONDITIONS
MAZHOROVA, OS
POPOV, YP
POKHILKO, VI
[J]. DIFFERENTIAL EQUATIONS, 1987, 23 (07) : 835 - 843
[3] DISCRETE TRANSPARENT BOUNDARY-CONDITIONS FOR THE NUMERICAL-SOLUTION OF FRESNELS EQUATION
SCHMIDT, F
DEUFLHARD, P
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (09) : 53 - 76
[4] NUMERICAL-SOLUTION OF THE GENERALIZED LAPLACE EQUATION BY THE BOUNDARY ELEMENT METHOD
RANGOGNI, R
OCCHI, R
[J]. APPLIED MATHEMATICAL MODELLING, 1987, 11 (05) : 393 - 396
[5] NUMERICAL-SOLUTION OF A PARABOLIC-SYSTEM WITH COUPLED NONLINEAR BOUNDARY-CONDITIONS
LIU, TJ
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1984, 20 (03) : 505 - 514
[6] NUMERICAL-SOLUTION OF THE GENERALIZED LAPLACE EQUATION BY COUPLING THE BOUNDARY ELEMENT METHOD AND THE PERTURBATION METHOD
RANGOGNI, R
[J]. APPLIED MATHEMATICAL MODELLING, 1986, 10 (04) : 266 - 270
[7] NUMERICAL-SOLUTION FOR OUTWARD SOLIDIFICATION WITH FLUX BOUNDARY-CONDITIONS
GOODLING, JS
KHADER, MS
[J]. MECHANICAL ENGINEERING, 1974, 96 (04): : 80 - 80
[8] SURFACE BOUNDARY-CONDITIONS FOR THE NUMERICAL-SOLUTION OF THE EULER EQUATIONS
DADONE, A
GROSSMAN, B
[J]. AIAA JOURNAL, 1994, 32 (02) : 285 - 293
[9] THE PARAMETRIZATION OF BOUNDARY-CONDITIONS IN SHOOTING ALGORITHMS FOR THE NUMERICAL-SOLUTION OF NONLINEAR BOUNDARY-VALUE-PROBLEMS
KUZNETSOV, VV
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1992, 32 (01) : 25 - 33
[10] THE LINEAR BOUNDARY ELEMENT SOLUTION OF LAPLACE EQUATION WITH DIRICHLET BOUNDARY-CONDITIONS
INGHAM, DB
RITCHIE, JA
TAYLOR, CM
[J]. MATHEMATICAL AND COMPUTER MODELLING, 1991, 15 (3-5) : 195 - 204

← 1 2 3 4 5 →