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Journal Articles International Journal on Finite Volumes Year : 2009

A discrete duality finite volume method for elliptic problems with corner singularities

Abstract

We focus on the Discrete Duality Finite Volume (DDFV) method whose particularity is to allow the use of unstructured or nonconforming meshes. We deal with the Laplacian problem on nonconvex domains. We show how appropriate refinement conditions on the diamond mesh lead to an optimal order of convergence as for smooth solutions. These theoretical results are illustrated by some numerical applications.
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Dates and versions

hal-00868421 , version 1 (09-02-2015)

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  • HAL Id : hal-00868421 , version 1

Cite

Sarah Delcourte. A discrete duality finite volume method for elliptic problems with corner singularities. International Journal on Finite Volumes, 2009, 6 (1), http://www.latp.univ-mrs.fr/IJFV/spip.php?article26. ⟨hal-00868421⟩
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