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Adaptive finite element methods for compressible two-phase flow I

By Erik Burman

Abstract

We apply the streamline diffusion finite element method for compressible flow in conservation variables using P1 × P0 finite elements to a model of two-phase flow in one space dimension. A posteriori error estimates are derived in which the error is bounded by the mesh size, the residual and certain stability factors. It is shown analytically for a model problem that the stability factors are bounded by a moderate constant. The stability factors for some related equations of fluid mechanics are computed numerically

Year: 1998
OAI identifier: oai:sro.sussex.ac.uk:15258
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