Title
Cellular Computing and Least Squares for Partial Differential Problems Parallel Solving.
Abstract
This paper shows how partial differential problems can be numerically solved on a parallel cellular architecture through a completely automated procedure. This procedure leads from a discrete 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.
Year
Venue
Keywords
2014
JOURNAL OF CELLULAR AUTOMATA
Partial differential equations,cellular automata,distributed memory,parallel architectures,LSFEM,finite elements
Field
DocType
Volume
Cellular computing,Least squares,Topology,Computer science,Algorithm,Finite element method,Theoretical computer science,Partial derivative,Non-linear iterative partial least squares,Cellular neural network
Journal
9
Issue
ISSN
Citations 
1
1557-5969
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
Nicolas Fressengeas101.35
Hervé Frezza-Buet28010.20