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Article Dans Une Revue International Journal of Pure and Applied Mathematics Année : 2012

MIXED DISCONTINUOUS GALERKIN METHOD FOR THE THREE-DIMENSIONAL ELECTROSTATIC PROBLEM

Abdelhamid Zaghdani
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Christian Daveau

Résumé

In this paper a new discontinuous Galerkin method for the three dimensional electrostatic problem is presented. The divergence contraint is taken into account by a regularized variational formulation and the tangential and normal jumps of the discrete solution at the element interface are penalized. Optimal error estimates in a discrete energy norm are proved. Some numerical experiments confirm the theoretical predictions.
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Dates et versions

hal-03690113 , version 1 (15-06-2022)

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  • HAL Id : hal-03690113 , version 1

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Abdelhamid Zaghdani, Christian Daveau. MIXED DISCONTINUOUS GALERKIN METHOD FOR THE THREE-DIMENSIONAL ELECTROSTATIC PROBLEM. International Journal of Pure and Applied Mathematics, 2012, 69 (4), pp.357-387. ⟨hal-03690113⟩

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