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Adaptive finite element methods for compressible two-phase flow I
journal contribution
posted on 2023-06-07, 19:14 authored by Erik BurmanWe 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.
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Publication status
- Published
Journal
Doktorsavhandlingar vid Chalmers Tekniska HogskolaISSN
0346718XIssue
1413Page range
1-45Department affiliated with
- Mathematics Publications
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- No
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- Yes
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2012-02-06Usage metrics
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