author = {Nicolas Fressengeas and Hervé Frezza-Buet},
title = {Cellular Computing and Least Squares for partial differential problems parallel solving},
journal = {Journal of Cellular Auromata},
year = {2014},
volume = {9},
number = {1},
pages = {1-21},
abstract = {This paper shows how partial differential problems can be nu- merically solved on a parallel cellular architecture through a com-pletely automated procedure. This procedure leads from a dis- crete differential problem to a Cellular Algorithm that efficiently runs on parallel distributed memory architectures. This completely automated procedure is based on a adaptation of the Least Square Finite Elements Method that allows local only computations in a discrete mesh. These local computations are automatically derived from the discrete differential problem through formal computing and lead automatically to a Cellular Algorithm which is efficiently coded for parallel execution on a dedicated distributed interactive platform. }