An analysis of the convergence of mixed finite element methods
An analysis of the convergence of mixed finite element methods
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DOI：
10.1051/m2an/1977110403411
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
M. Fortin
中科院分区：
文献类型：
--
作者：
M. Fortin
- 本文讨论混合有限元法的收敛性证明。在回顾抽象条件Brezzi，表明，这些条件是，在某些情况下，相当于建立一个一致连续的运营商Yih从V到Vh的可能性。此外，还刻画了逼近中涉及的离散算子的一些性质。两个例子表明，构建算子Tlh可以通过插值算子来完成。第三个例子提出了一种情况下，仍然是目前的技术范围之外。
— This paper deals with convergence proofs in mixed finite element methods. After recalling abstract conditions ofBrezzi, one shows that these conditions are, in some cases, equivalent to the possibility of building an uniformly continuous operator Yih from V into Vh. Moreover some properties of discrete operators invohed in the approximation are characterized'. Two examples show that building the operator Tlh can be done through an interpolation operator. A third example présents a case which is still out of reach of present techniques.