New interpolation results and applications to finite element methods for elliptic boundary value problems

被引：0
|
作者：
Bacuta, C. [1 ]
Bramble, J.H. [1 ]
Pasciak, J.E. [1 ]
机构：
[1] Dept. of Mathematics, Texas A and M University, College Station, TX 77843, United States
来源：
East-West Journal of Numerical Mathematics | 2001年 / 9卷 / 03期
基金：
美国国家科学基金会;
关键词：
Boundary value problems - Finite element method - Geometry - Mathematical operators - Variational techniques;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the interpolation problem between H2 (Ω) ∩ HD1 and HD1 (Ω), where Ω is a polygonal domain in R2 and HD1 (Ω) is the subspace of functions in H1 (Ω) which vanish on the Dirichlet part (&partΩ)D of the boundary of Ω. The main result is that the interpolation spaces [H2 (Ω) ∩ HD1 (Ω), HD1 (Ω)]s and H1+s (Ω) ∩ HD1 (Ω) coincide. An application of this result to a nonconforming finite element problem is presented.
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页码：179 / 198
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