Resolvent estimates in $l_p$ for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.

Crouzeix, Michel, and Thomée, Vidar. "Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.." Computational Methods in Applied Mathematics 1.1 (2001): 3-17. <http://eudml.org/doc/228048>.

@article{Crouzeix2001,
author = {Crouzeix, Michel, Thomée, Vidar},
journal = {Computational Methods in Applied Mathematics},
keywords = {Delaunay triangulation; heat equation; semidiscretization; linear parabolic equation; finite element method; finite difference method; time discretization; resolvent estimate; stability estimate; maximum-norm},
language = {eng},
number = {1},
pages = {3-17},
publisher = {Institute of Mathematics of the National Academy of Sciences of Belarus},
title = {Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.},
url = {http://eudml.org/doc/228048},
volume = {1},
year = {2001},
}

TY - JOUR
AU - Crouzeix, Michel
AU - Thomée, Vidar
TI - Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.
JO - Computational Methods in Applied Mathematics
PY - 2001
PB - Institute of Mathematics of the National Academy of Sciences of Belarus
VL - 1
IS - 1
SP - 3
EP - 17
LA - eng
KW - Delaunay triangulation; heat equation; semidiscretization; linear parabolic equation; finite element method; finite difference method; time discretization; resolvent estimate; stability estimate; maximum-norm
UR - http://eudml.org/doc/228048
ER -