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非定常的热传导-对流问题的Petrov最小二乘混合有限元法及其误差估计
A PETROV LEAST SQUARES MIXED FINITE ELEMENT METHOD FOR THE NON-STATIONARY CONDUCTION CONVECTION PROBLEMS
【摘要】 文提出了非定常的热传导-对流方程的一种Petrov最小二乘混合有限元法.Petrov最小二乘混合有限元法可以回避Babu(?)ka-Brezzi条件的约束,使得有限元空间可以自由地选择并获得最优阶的误差估计.
【Abstract】 In this work,a Petrov least squares mixed finite element(PLSMFE)method for the non-stationary conduction convection problems is derived.The PLSMFE method could circumvent the constraint of Babu(?)ka-Brezzi condition so that the combination of finite element subspaces could be chosen freely and optimal order error estimates are obtained.
【关键词】 Petrov最小二乘方法;
混合元法;
非定常的热传导-对流问题;
【Key words】 Petrov least squares method; mixed element method; the non-stationary conduction convection problems;
【Key words】 Petrov least squares method; mixed element method; the non-stationary conduction convection problems;
【基金】 国家自然科学基金(批准号:10871022和40437017)资助项目.
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,2009年01期
- 【分类号】O411
- 【被引频次】3
- 【下载频次】196