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Reports Year : 2014

Finite element discretization of the time dependent axisymmetric Darcy problem

Christine Bernardi
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  • PersonId : 961629
Ajmia Younes Orfi
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  • PersonId : 960744

Abstract

We consider the Darcy problem in an axisymmetric three-dimensional domain with data which are axisymmetric. The solution satisfies a system of equations in the meridian domain. We propose a discretization of this problem in the case of an axisymmetric solution. This discretization relies on a backward Euler's scheme for the time variable and finite elements for the space variables. We prove a priori error estimates and a posteriori error estimates both for the time steps and the meshes and we present some numerical experiments which are in good agreement with the analysis
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Dates and versions

hal-01073998 , version 1 (11-10-2014)

Identifiers

  • HAL Id : hal-01073998 , version 1

Cite

Christine Bernardi, Ajmia Younes Orfi. Finite element discretization of the time dependent axisymmetric Darcy problem. 2014. ⟨hal-01073998⟩
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