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On the convergence of the collocation method for nonlinear boundary integral equations |
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| Authors: | K Ruotsalainen |
| Institution: | Section of Mathematics, Faculty of Technology, University of Oulu, Linnanmaa, SF-90570 Oulu, Finland |
| Abstract: | 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 Lq(Γ)-norm. |
| Keywords: | Boundary element method Nonlinear Elliptic Boundary value problem Galerkin method Collocation method Potential problems Nonlinear material conditions |
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