PIECEWISE H1 FUNCTIONS AND VECTOR FIELDS ASSOCIATED WITH MESHES GENERATED BY INDEPENDENT REFINEMENTS

被引：0
作者：
Brenner, Susanne C. [1 ,2 ]
Sung, Li-Yeng [1 ,2 ]
机构：
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA
来源：
MATHEMATICS OF COMPUTATION | 2015年 / 84卷 / 293期
基金：
美国国家科学基金会;
关键词：
Nonconforming meshes; independent refinements; Poincare-Friedrichs inequalities; Korn's inequalities; weakly over-penalized symmetric interior penalty method; FINITE-ELEMENT METHODS; POINCARE-FRIEDRICHS INEQUALITIES; DISCONTINUOUS GALERKIN METHODS; SOBOLEV SPACES; APPROXIMATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider piecewise H-1 functions and vector fields associated with a class of meshes generated by independent refinements and show that they can be effectively analyzed in terms of the number of refinement levels and the shape regularity of the subdomains that appear in the meshes. We derive Poincare-Friedrichs inequalities and Korn's inequalities for such meshes and discuss an application to a discontinuous finite element method.
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页码：1017 / 1036
页数：20
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