ON THE CONVERGENCE OF THE COLLOCATION METHOD FOR NONLINEAR BOUNDARY INTEGRAL-EQUATIONS
[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.
[发布日期] 1994-05-20 [发布机构]
[效力级别] Proceedings Paper [学科分类]
[关键词] BOUNDARY ELEMENT METHOD;NONLINEAR;ELLIPTIC;BOUNDARY VALUE PROBLEM;GALERKIN METHOD;COLLOCATION METHOD;POTENTIAL PROBLEMS;NONLINEAR MATERIAL CONDITIONS [时效性]
