Adaptive finite element methods for compressible two-phase flow

被引：7
作者：
Burman, E [1 ]
机构：
[1] Ecole Polytech, CMAP, F-91128 Palaiseau, France
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2000年 / 10卷 / 07期
关键词：
D O I：
10.1142/S0218202500000495
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply the adaptive streamline diffusion method for compressible flow in conservation variables using P-1 x P-0 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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页码：963 / 989
页数：27
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