Adaptive Mixed Least Squares Galerkin/Petrov Finite Element Method for the Stationary Conduction Convection Problems
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摘要: 对热传导对流问题提出了自适应Galerkin/Petrov最小二乘混合有限元法.该算法对任何速度和压力有限元空间的组合是相容和稳定的(不需要满足Babuka-Brezzi稳定性条件).利用Verfürth的一般理论,得到了热传导对流问题的残量型的后验误差估计.最后通过几个数值算例验证了方法的有效性.
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关键词:
- 热传导对流问题 /
- 后验误差分析 /
- 混合有限元 /
- 自适应有限元 /
- 最小二乘Galerkin/Petrov法
Abstract: An adaptive mixed least squares Galerkin/Petrov finite element method was developed for the stationary conduction convection problems.The mixed least squares Galerkin/Petrov finite element method was consistent and stable for any combination of discrete velocity and pressure spaces (without requiring a Babuška-Brezzi stability condition).Using the general theory of Verfürth,the a posteriori error estimates of residual type are derived for the problems.Finally,some numerical tests are presented to illustrate the method's efficiency.
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