Stability and analyticity in maximum-norm for simplicial Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions

Numerische Mathematik

Volumn 87, Issue 2, 2000, Pages 373-389

  Thomee V ^a   Wahlbin, L B ^b  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039032338     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000184     Document Type: Article

References (8)

1. N.Yu. Bakaev, S. Larsson, V. Thomée: Backward Euler type methods for parabolic integro-differential equations in Banach space, to appear in RAIRO M2AN (1998)
2. J.H. Bramble, A.H. Schatz, V. Thomée. L.B. Wahlbin: Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. SIAM J. Numer. Anal. 14, 218-241 (1977)
3. S.D. Èǐdel'man, S.D. Ivasišen: Investigation of the Green's matrix for a homogeneous parabolic boundary value problem. Trans. Moscow Math. Soc. 23, 179-242 (1970)
4. C. Palencia: Maximum-norm analysis of completely discrete finite element methods for parabolic problems. SIAM J. Numer. Anal. 33, 1654-1668 (1996)
5. A.H. Schatz, V. Thomée, L.B. Wahlbin: Stability, analyticity, and almost best approximation in maximum-norm for parabolic finite element equations. Comm. Pure Appl. Math 51, 1349-1385 (1998)
6. L. R. Scott, S. Zhang: Finite element interpolation of non-smooth functions satisfying boundary conditions. Math. Comp. 54, 483-493 (1990)
7. V. Thomée: Galerkin Finite Element Methods for Parabolic Problems, Springer Series in Computational Mathematics, Vol. 25, Springer Berlin Heidelberg New York (1997)
8. L.B. Wahlbin: Local behavior in finite element methods. Handbook of Numerical Analysis, Vol II, Finite Element Methods (Part 1), P.G. Ciarlet, J.L. Lions (eds.) Elsevier, 1991, pp. 355-522