Convergence analysis and error estimates for mixed finite element method on distorted meshes

Journal of Numerical Mathematics

Volumn 13, Issue 1, 2005, Pages 33-51

  Kuznetsov, Yu ^a   Repin, S ^b  

^a UNIVERSITY OF HOUSTON   (United States)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

A priori convergence esimates; Mixed finite element method; Polygonal polyhedral meshes

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD; PROBLEM SOLVING;

A PRIORI CONVERGENCE ESTIMATES; MIXED FINITE ELEMENT METHOD; POLYGONAL/POLYHEDRAL MESHES;

CONVERGENCE OF NUMERICAL METHODS;

EID: 26944434183     PISSN: 15702820     EISSN: None     Source Type: Journal    
DOI: 10.1163/1569395054068973     Document Type: Article

References (4)

1. F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods. Springer, Berlin, 1991.
2. Yu. Kuznetsov and S.Repin, New mixed finite element method on polygonal and polyhedral meshes. Russ. J. Numer. Anal. Math. Modelling (2003) 18, No.3, 261-278.
3. Yu. Kuznetsov and S. Repin, Mixed finite element method on polygonal and polyhedral meshes. In: Proc. 5th European Conference on Numerical Mathematics and Applications. Prague, 2004, pp. 615-622.
4. J. E. Roberts and J.-M. Thomas, Mixed and hybrid methods. In: Handbook of Numerical Analysis, Vol. II. North-Holland, Amsterdam, 1991, pp. 523-639.