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.
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More From: Mathematical Models and Methods in Applied Sciences
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