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

Author(s)

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

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	433-462
Journal / Publication	Numerische Mathematik
Volume	132
Issue number	3
Online published	14 Jun 2015
Publication status	Published - Mar 2016

Link(s)

DOI	DOI https://doi.org/10.1007/s00211-015-0730-9 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84957848249&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(4defaeb3-1d84-494a-9b40-bbec4e1e3345).html

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.

Research Area(s)

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

Citation Format(s)

[ RIS ] [ BibTeX ]

Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. / Ciarlet, P. G.; Ciarlet, P.; Sauter, S. A. et al.

In: Numerische Mathematik, Vol. 132, No. 3, 03.2016, p. 433-462.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Ciarlet, PG, Ciarlet, P, Sauter, SA & Simian, C 2016, 'Intrinsic finite element methods for the computation of fluxes for Poisson’s equation', Numerische Mathematik, vol. 132, no. 3, pp. 433-462. https://doi.org/10.1007/s00211-015-0730-9

Ciarlet, P. G., Ciarlet, P., Sauter, S. A., & Simian, C. (2016). Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Numerische Mathematik, 132(3), 433-462. https://doi.org/10.1007/s00211-015-0730-9

Ciarlet PG, Ciarlet P, Sauter SA, Simian C. Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Numerische Mathematik. 2016 Mar;132(3):433-462. Epub 2015 Jun 14. doi: 10.1007/s00211-015-0730-9

Ciarlet, P. G. ; Ciarlet, P. ; Sauter, S. A. et al. / Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. In: Numerische Mathematik. 2016 ; Vol. 132, No. 3. pp. 433-462.