Boundary integral equations for second order elliptic boundary value problems

Michael Gnewuch and Stefan A. Sauter

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Submission date: 31. Aug. 1999
Pages: 46
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Abstract:
In this paper, we will present integral equations for general elliptic boundary value problems of second order with constant coefficients. The jump conditions, existence and uniqueness theorems are proved. In combination with black box numerical integration schemes developed recently for general boundary integral equations it becomes feasible to implement a black box software package for solving this class of problems, just by providing the coefficients of the boundary value problems. Numerical examples performed by such a black-box software package will illustrate the good convergence behaviour of the integral equation method.Download extended version as compressed or GNU-ziped postscript file.