We show here the convergence of the linear finite element approximate solutions of a diffusion equation to a weak solution, with weak regularity assumptions on the data.
@article{hal-00003437,
author = {Gallou\"et, Thierry and Herbin, Raphaele},
title = {Convergence of linear finite elements for diffusion equations with measure data},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003437}
}
Gallouët, Thierry; Herbin, Raphaele. Convergence of linear finite elements for diffusion equations with measure data. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003437/