Mixed finite element methods on polyhedral meshes for diffusion equations

Computational Methods in Applied Sciences

Volumn 16, Issue , 2008, Pages 27-41

  Kuznetsov, Yuri A ^a  

^a University of Houston   (United States)

Author keywords

Diffusion equation; Mixed cells; Mixed finite element method; Polyhedral meshes

Indexed keywords

EID: 84962820631     PISSN: 18713033     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-8758-5_2     Document Type: Conference Paper

References (7)

1. F. Brezzi and M. Fortin. Mixed and hybrid finite element methods. SpringerVerlag, Berlin 1991
2. Yu. Kuznetsov. Mixed finite element method in domains of complex geometry. In Abstract Book - 1st International Seminar of SCOMA, number A4/2005 in Reports of the Department of Mathematical Information Technology, Series A, Collections, University of Jyväskylä, Jyväskylä, 2005.
3. Yu. Kuznetsov. Mixed finite element method for diffusion equations on polygonal meshes with mixed cells. J. Numer. Math., 14(4):305-315, 2006
4. Yu. Kuznetsov, K. Lipnikov, and M. Shashkov. The mimetic finite difference method on polygonal meshes for diffusion-type equations. Comput. Geosci., 8:301-324, 2004
5. Yu. Kuznetsov and S. Repin. New mixed finite element method on polygonal and polyhedral meshes. Russian J. Numer. Anal. Math. Modelling, 18(3):261-278, 2003
6. Yu. Kuznetsov and S. Repin. Convergence analysis and error estimates for mixed finite element method on distorted meshes. J. Numer. Math., 13(1):33-51, 2005
7. J. E. Roberts and J.-M. Thomas. Mixed and hybrid methods. In P.-G. Ciarlet and J.-L. Lions, editors, Handbook of Numerical Analysis, Vol. II, pages 523-639. North-Holland, Amsterdam, 1991.