Maximum-Norm Stability, Smoothing and Resolvent Estimates for Parabolic Finite Element Equations
Vidar Thomée · ESAIM Proceedings · 2007
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.