ON THE CONVERGENCE OF THE COLLOCATION METHOD FOR NONLINEAR BOUNDARY INTEGRAL-EQUATIONS

被引：2

作者：

RUOTSALAINEN, K ^{[1
]}

机构：

[1] UNIV OULU,FAC TECHNOL,MATH SECT,SF-90570 OULU,FINLAND

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 50卷 / 1-3期

关键词：

BOUNDARY ELEMENT METHOD; NONLINEAR; ELLIPTIC; BOUNDARY VALUE PROBLEM; GALERKIN METHOD; COLLOCATION METHOD; POTENTIAL PROBLEMS; NONLINEAR MATERIAL CONDITIONS;

D O I：

10.1016/0377-0427(94)90321-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Galerkin and collocation methods have been analysed for some nonlinear boundary integral equations. For the collocation method it has been assumed that the nonlinearity is asymptotically linear. In this paper we remove this restriction. We shall prove the convergence of the collocation method for nonlinear boundary integral equations, when the nonlinearity has a polynomial growth condition. In addition to this the optimal order error estimates follow in L(q)(GAMMA)-norm.

引用

页码：471 / 483

页数：13

共 50 条

[1] ON THE CONVERGENCE OF COLLOCATION METHODS FOR BOUNDARY INTEGRAL-EQUATIONS ON POLYGONS
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[J]. MATHEMATICS OF COMPUTATION, 1987, 49 (180) : 461 - 478
[2] THE DISCRETE COLLOCATION METHOD FOR NONLINEAR INTEGRAL-EQUATIONS
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[3] THE CONVERGENCE OF A COLLOCATION METHOD FOR A CLASS OF CAUCHY SINGULAR INTEGRAL-EQUATIONS
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[4] RATES OF CONVERGENCE FOR THE METHOD OF CLASSICAL COLLOCATION FOR SOLVING SINGULAR INTEGRAL-EQUATIONS
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[7] PIECEWISE POLYNOMIAL COLLOCATION FOR BOUNDARY INTEGRAL-EQUATIONS
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[9] THE CLASSICAL COLLOCATION METHOD FOR SINGULAR INTEGRAL-EQUATIONS
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