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

P. G. Ciarlet; P. Ciarlet; S. A. Sauter; C. Simian

doi:10.1007/s00211-015-0730-9

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

P. G. Ciarlet
, P. Ciarlet
, S. A. Sauter
, C. Simian

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	433-462
Number of pages	30
Journal	Numerische Mathematik
Volume	132
Issue number	3
DOIs	https://doi.org/10.1007/s00211-015-0730-9
Publication status	Published - 1 Mar 2016

Keywords

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

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10.1007/s00211-015-0730-9

Cite this

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title = "Intrinsic finite element methods for the computation of fluxes for Poisson{\textquoteright}s equation",

abstract = "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.",

keywords = "Conforming and non-conforming finite element spaces, Elliptic boundary value problems, Intrinsic formulation",

author = "Ciarlet, \{P. G.\} and P. Ciarlet and Sauter, \{S. A.\} and C. Simian",

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AU - Ciarlet, P.

AU - Sauter, S. A.

AU - Simian, C.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Conforming and non-conforming finite element spaces

KW - Elliptic boundary value problems

KW - Intrinsic formulation

UR - https://www.scopus.com/pages/publications/84957848249

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DO - 10.1007/s00211-015-0730-9

M3 - Article

AN - SCOPUS:84957848249

SN - 0029-599X

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SP - 433

EP - 462

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 3

ER -

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

Abstract

Keywords

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