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

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

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Detail(s)

Original languageEnglish
Pages (from-to)433-462
Journal / PublicationNumerische Mathematik
Volume132
Issue number3
Online published14 Jun 2015
Publication statusPublished - Mar 2016

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)

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

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