Poincaré–Friedrichs inequalities of complexes of discrete distributional differential forms

被引：0
|
作者：
Snorre H. Christiansen
Martin W. Licht
机构：
[1] University of Oslo,Department of Mathematics
[2] UCSD Department of Mathematics,undefined
来源：
BIT Numerical Mathematics | 2020年 / 60卷
关键词：
Discrete distributional differential form; Finite element exterior calculus; Finite element method; Homology theory; Poincaré–Friedrichs inequality; 65N30;
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学科分类号：
摘要：
We derive bounds for the constants in Poincaré–Friedrichs inequalities with respect to mesh-dependent norms for complexes of discrete distributional differential forms. A key tool is a generalized flux reconstruction which is of independent interest. The results apply to piecewise polynomial de Rham sequences on bounded domains with mixed boundary conditions.
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页码：345 / 371
页数：26
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