Intrinsic finite element methods for the computation of fluxes for Poisson’s equation

被引：0
|
作者：
P. G. Ciarlet
P. Ciarlet
S. A. Sauter
C. Simian
机构：
[1] City University of Hong Kong,Department of Mathematics
[2] Laboratoire POEMS,Institut für Mathematik
[3] UMR 7231 CNRS/ENSTA/INRIA,Department of Computer Science
[4] ENSTA ParisTech,undefined
[5] 828,undefined
[6] Boulevard des Maréchaux,undefined
[7] Universität Zürich,undefined
[8] University of Chicago,undefined
来源：
Numerische Mathematik | 2016年 / 132卷
关键词：
Elliptic boundary value problems; Conforming and non-conforming finite element spaces; Intrinsic formulation; 65N30;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we consider an intrinsic approach for the direct computation of the fluxes for problems in potential theory. We develop a general method for the derivation of intrinsic conforming and non-conforming finite element spaces and appropriate lifting operators for the evaluation of the right-hand side from abstract theoretical principles related to the second Strang Lemma. This intrinsic finite element method is analyzed and convergence with optimal order is proved.
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页码：433 / 462
页数：29
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