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.

引用

页码：179 / 198

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