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Article Dans Une Revue International Journal on Finite Volumes Année : 2003

Some refined Finite volume methods for elliptic problems with corner singularities

Résumé

It is well known that the solution of the Laplace equation in a non convex polygonal domain of $R^2$ has a singular behaviour near non convex corners. Consequently we investigate three refined finite volume methods (cell-center, conforming finite volume-element and non conforming finite volume-element) to approximate the solution of such a problem and restore optimal orders of convergence as for smooth solutions. Numerical tests are presented and confirm the theoretical rates of convergence.
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Dates et versions

hal-01114785 , version 1 (06-03-2015)

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  • HAL Id : hal-01114785 , version 1

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Karim Djadel, Serge Nicaise, Jalel Tabka. Some refined Finite volume methods for elliptic problems with corner singularities. International Journal on Finite Volumes, 2003, 1 (1), pp.1-33. ⟨hal-01114785⟩
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