inria-00072892, version 1
On the Finite Volume Reformulation of the Mixed Finite Elements Method on Triangles
N° RR-3769 (1999)
Abstract: We analyse the finite volume reformulation of the triangular mixed finite element approximation for the porous flow equation, as proposed in [10] [9]. We show that the finite volumes are obtained by aggregation of finite elements (usually one, sometimes two or more), that the matrix of the finite volume equations is regular, but generally not symmetrical, and that the finite volume formulation is algebraically equivalent to the mixed approximation. The finite volume matrix becomes symmetrical in the stationary case, and positive definite when the triangulation satisfies the Delaunay condition.
- a – Université Paris Dauphine - Paris IX
- 1:
- INRIA
- Domain : Computer Science/Other
- Keywords : MIXED FINITE ELEMENTS / FINITE VOLUMES / FLOW IN POROUS MEDIA
- Internal note : RR-3769
- inria-00072892, version 1
- http://hal.inria.fr/inria-00072892
- oai:hal.inria.fr:inria-00072892
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- Submitted on: Wednesday, 24 May 2006 11:11:33
- Updated on: Thursday, 5 April 2007 09:51:50





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