Equivalence between mixed finite element and multi-point finite volume methods

Comptes Rendus Mathematique

Volumn 339, Issue 7, 2004, Pages 525-528

  Vohralík, Martin ^a,b  

^a UNIVERSITÉ PARIS SUD   (France)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4944242042     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.08.004     Document Type: Article

References (7)

1. D.N. Arnold F. Brezzi Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates Modél. Math. Anal. Numér. 19 1985 7-32
2. J. Baranger J.-F. Maître F. Oudin Connection between finite volume and mixed finite element methods Math. Model. Numer. Anal. (M2AN) 30 1996 445-465
3. F. Brezzi M. Fortin Mixed and Hybrid Finite Element Methods 1991 Springer-Verlag New York
4. J.C. Nédélec Mixed finite elements in R 3 Numer. Math. 35 1980 315-341
5. P.-A. Raviart J.-M. Thomas A mixed finite element method for 2-nd order elliptic problems In: I. Galligani E. Magenes (eds.) Mathematical Aspects of Finite Element Methods Lecture Notes in Math. vol. 606 1977 Springer Berlin 292-315
6. Vohralik M. Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplical meshes in preparation
7. A. Younès Ph. Ackerer G. Chavent From mixed finite elements to finite volumes for elliptic PDEs in two and three dimensions Int. J. Numer. Methods Engrg. 59 2004 365-388