Abstracts for the Conference on
Grid Adaptivity in Computational PDEs,
Edinburgh, July 96		Next
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An error estimator for a finite volume discretization of density driven flow in porous media

K Thiele , L Angermann & P Knabner

Institute for Applied Mathematics
University of Erlangen, Martensstr. 3,
91058 Erlangen, Germany

Abstract

We present a method for the numerical approximation of the Density Driven Flow problem describing the interaction of ground water flow and a dissolved substance (salt) of high concentration. The system under consideration consists of nonlinear parabolic equations and is discretized by the means of a Finite Volume Method based on quadrilaterals.

The resulting set of discrete linear equations is solved by a highly efficient, spatially adaptive multigrid method, as it is realized in the software toolbox UG.

Concerning the adaptive algorithm, we present an a-posteriori error estimator based on an subdomain residual method. We discuss the theoretical foundation of the method and show some numerical results.

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