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A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation

Abstract : An efficient and fully computable a posteriori error bound is derived for the discretization of the Laplace equation by the discrete duality finite volume scheme on very general twodimensional meshes. The main ingredients are the equivalence of this method with a finite element like scheme and tools from the finite element framework. Numerical tests are performed with a stiff solution on highly nonconforming locally refined meshes and with a singular solution on triangular meshes.
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Preprints, Working Papers, ...
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https://hal-cea.archives-ouvertes.fr/cea-00320486
Contributor : Pascal Omnes Connect in order to contact the contributor
Submitted on : Thursday, September 11, 2008 - 9:54:32 AM
Last modification on : Tuesday, October 19, 2021 - 10:54:07 AM
Long-term archiving on: : Friday, June 4, 2010 - 11:11:49 AM

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  • HAL Id : cea-00320486, version 1

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Pascal Omnes, Yohan Penel, Yann Rosenbaum. A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation. 2008. ⟨cea-00320486v1⟩

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