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

被引：10

作者：

Ciarlet, P. G. ^{[1
]}

Ciarlet, P., Jr. ^{[2
]}

Sauter, S. A. ^{[3
]}

Simian, C. ^{[4
]}

机构：

[1] City Univ Hong Kong, Dept Math, 83 Tat Chee Ave, Kowloon, Hong Kong, Peoples R China

[2] ENSTA ParisTech, Lab POEMS, CNRS ENSTA INRIA, UMR 7231, 828 Blvd Marechaux, F-91762 Palaiseau, France

[3] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[4] Univ Chicago, Dept Comp Sci, 1100 E 58th St, Chicago, IL 60637 USA

来源：

NUMERISCHE MATHEMATIK | 2016年 / 132卷 / 03期

关键词：

Elliptic boundary value problems; Conforming and non-conforming finite element spaces; Intrinsic formulation; ELASTICITY;

D O I：

10.1007/s00211-015-0730-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：433 / 462

页数：30

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