Superconvergence of mixed finite element semi-discretizations of two time-dependent problems

Applications of Mathematics

Volumn 44, Issue 1, 1999, Pages 43-53

  Brandts, Jan H ^a  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

Diffusion equation; Maxwell equations; Mixed elliptic projection; Superconvergence

Indexed keywords

EID: 0039425446     PISSN: 08627940     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022220219953     Document Type: Article

References (8)

1. J.H. Brandts: Superconvergence and a posteriori error estimation for triangular mixed finite elements. Num. Math. 68(3) (1994), 311-324.
2. J.H. Brandts: Superconvergence for second order triangular mixed and standard finite elements. Report 9 of: Lab. of Sc. Comp. Univ. of Jyväskylä, Finland, 1996.
3. J. Douglas and J.E. Roberts: Global estimates for mixed methods for second order elliptic problems. Math. of Comp. 44(169) (1985), 39-52.
4. R. Durán: Superconvergence for rectangular mixed finite elements. Num. Math. 58 (1990), 2-15.
5. P. Monk: A comparison of three mixed methods for the time-dependent Maxwell's equations. SIAM J. Sci. Stat. Comput. 13(5) (1992), 1097-1122.
6. P. Monk: An analysis of Nédélec's method for the spatial discretization of Maxwell's equations. J. of Comp. Appl. Math. 47 (1993), 101-121.
7. P.A. Raviart and J.M. Thomas: A mixed finite element method for second order elliptic problems. Lecture Notes in Mathematics, 606. 1977, pp. 292-315.
8. Mathematical theory of finite and boundary element methods (A.H. Schatz, V. Thomeé, and W.L. Wendland, eds.). Birkhäuser Verlag, Basel, 1990.