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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
55/1999

Boundary integral equations for second order elliptic boundary value problems

Michael Gnewuch and Stefan A. Sauter

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.

Received:
31.08.99
Published:
31.08.99

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Preprint
1999 Repository Open Access
Michael Gnewuch and Stefan A. Sauter

Boundary integral equations for second order elliptic boundary value problems