Numerical solution of the three-dimensional Dirichlet problem for inhomogeneous media by the method of integral equations |
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Authors: | E V Zakharov A V Kalinin |
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Institution: | 1. Moscow State University, Moscow, Russia
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Abstract: | We consider the three-dimensional Dirichlet problem for equations of elliptic type in inhomogeneous media. The problem can be reduced to a system of loaded Fredholm integral equations of the second kind over the volume. We prove the uniqueness of a classical solution of the problem. We suggest a numerical solution algorithm of iterative type. An example of the numerical solution of the problem is considered, and the convergence of the iterative procedure is demonstrated numerically. |
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