Discrete Green's function and maximum principles

Vejchodský, Tomáš, and Šolín, Pavel. "Discrete Green's function and maximum principles." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 247-252. <http://eudml.org/doc/271289>.

@inProceedings{Vejchodský2006,
abstract = {In this paper the discrete Green’s function (DGF) is introduced and its fundamental properties are proven. Further it is indicated how to use these results to prove the discrete maximum principle for 1D Poisson equation discretized by the $hp$-FEM with pure Dirichlet or with mixed Dirichlet-Neumann boundary conditions and with piecewise constant coefficient.},
author = {Vejchodský, Tomáš, Šolín, Pavel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {247-252},
publisher = {Institute of Mathematics AS CR},
title = {Discrete Green's function and maximum principles},
url = {http://eudml.org/doc/271289},
year = {2006},
}

TY - CLSWK
AU - Vejchodský, Tomáš
AU - Šolín, Pavel
TI - Discrete Green's function and maximum principles
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 247
EP - 252
AB - In this paper the discrete Green’s function (DGF) is introduced and its fundamental properties are proven. Further it is indicated how to use these results to prove the discrete maximum principle for 1D Poisson equation discretized by the $hp$-FEM with pure Dirichlet or with mixed Dirichlet-Neumann boundary conditions and with piecewise constant coefficient.
UR - http://eudml.org/doc/271289
ER -