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Burman, Erik (2000) Adaptive finite element methods for compressible two-phase flow. Mathematical Models and Methods in Applied Sciences, 10 (7). pp. 963-989. ISSN 0218-2025
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Official URL: http://dx.doi.org/10.1142/S0218202500000495
Abstract
We apply the adaptive streamline diffusion method for compressible flow in conservation variables using P1 × P0 finite elements to a conservative model of two-phase flow. The adaptive algorithm is based on an a posteriori error estimate involving certain stability factors related to a linearized dual problem. For a model problem we prove that the stability factors are bounded. We compute the stability factors for some numerical examples in one- and two-space dimensions.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Depositing User: | Erik Burman |
Date Deposited: | 06 Feb 2012 19:27 |
Last Modified: | 09 Jul 2012 13:55 |
URI: | http://srodev.sussex.ac.uk/id/eprint/20641 |