Geodesic
Maximum-Norm Stability, Smoothing and Resolvent Estimates
for Parabolic Finite Element Equations
Vidar Thomée1
1 Department of mathematics, Chalmers University of Technology, S 412 96 Göteborg, Sweden; e-mail: thomee@math.chalmers.se
ESAIM. Proceedings, Tome 21 (2007), pp. 98-107.

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We survey work on stability and smoothing estimates in maximum-norm for spatially semidiscrete finite element approximations of a model parabolic equation, and related such estimates for the resolvent of the corresponding discrete elliptic operator. We end with a short discussion of stability of fully discrete time stepping methods.
DOI : 10.1051/proc:072108

Vidar Thomée 1

1 Department of mathematics, Chalmers University of Technology, S 412 96 Göteborg, Sweden; e-mail: thomee@math.chalmers.se 
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Vidar Thomée. Maximum-Norm Stability, Smoothing and Resolvent Estimates
for Parabolic Finite Element Equations. ESAIM. Proceedings, Tome 21 (2007), pp. 98-107. doi : 10.1051/proc:072108. http://geodesic.mathdoc.fr/articles/10.1051/proc:072108/

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