Discrete Green's function and maximum principles
Vejchodský, Tomáš ; Šolín, Pavel
Programs and Algorithms of Numerical Mathematics, GDML_Books, (2006), p. 247-252 / Harvested from
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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.

EUDML-ID : urn:eudml:doc:271289 
@article{702845,
     title = {Discrete Green's function and maximum principles},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2006},
     pages = {247-252},
     url = {http://dml.mathdoc.fr/item/702845}
}

Vejchodský, Tomáš; Šolín, Pavel. Discrete Green's function and maximum principles, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2006), pp. 247-252. http://gdmltest.u-ga.fr/item/702845/