Multiplier spaces for the mortar finite element method in three dimensions
Multiplier spaces for the mortar finite element method in three dimensions
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DOI：
10.1137/s0036142900367065
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发表时间：
2001-07-08
影响因子：
2.9
通讯作者：
Vassilevski, PS
中科院分区：
文献类型：
--
作者：
Kim, C;Lazarov, RD;Vassilevski, PS
我们考虑在三维空间中，在全局或局部准均匀网格上，用砂浆有限元法构造乘子空间。给出了一组充分保证Mortar逼近稳定收敛的乘子空间的抽象条件。满足这些条件的乘数的三个例子。第一个是一个对偶基的例子，而其余两个是基于有限体积。最后，给出了计算实例的结果。
We consider the construction of multiplier spaces for use with the mortar finite element method in three spatial dimensions on globally or locally quasi-uniform meshes. A set of abstract conditions is given for the multiplier spaces which are sufficient to guarantee a stable and convergent mortar approximation. Three examples of multipliers satisfying these conditions are presented. The rst one is a dual basis example, while the remaining two are based on finite volumes. Finally, the results of computational examples illustrating the theory are reported.