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Mixed finite volume methods

✍ Scribed by J.-M. Thomas; D. Trujillo

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
175 KB
Volume
46
Category
Article
ISSN
0029-5981

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✦ Synopsis

We present in this paper a new Finite Volume Methods for elliptic equation, based on a mixed primal-dual formulation. In this approach the uxes are introduced as unknowns of the problem and we use two dual meshes. This method is called 'mixed ÿnite volume method (MFV)'. We recall ÿrst the abstract theory of generalized mixed formulation and then we develop error estimates in the case where two dual rectangular meshes or two dual triangular meshes are used. Finally, we present some numerical results and we calculate for each example the L 2 -error relative to the primal and dual unknowns.

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