Intrinsic Finite Element Methods for the Computation of Fluxes for Poisson'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.
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Submitted on : Monday, June 8, 2015 - 11:47:54 AM
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Philippe G. Ciarlet, Patrick Ciarlet, Stefan Sauter, C Simian. Intrinsic Finite Element Methods for the Computation of Fluxes for Poisson's Equation. Numerische Mathematik, Springer Verlag, 2015, pp.30. ⟨10.1007/s00211-015-0730-9⟩. ⟨hal-01160896⟩

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