Cellular Computing and Least Squares for partial differential problems parallel solving

Nicolas Fressengeas (1) , Hervé Frezza-Buet (2)

1 LMOPS - Laboratoire Matériaux Optiques, Photonique et Systèmes
2 IMS : Information, Multimodalité & Signal

This paper shows how partial differential problems can be solved thanks to cellular computing and an adaptation of the Least Squares Finite Elements Method. As cellular computing can be implemented on distributed parallel architectures, this method allows the distribution of a resource demanding differential problem over a computer network.

Mots clés: Cellular Computing; Formal computing; Least Squares; Partial Differential Systems

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Equations aux dérivées partielles [math.AP]; Calcul parallèle, distribué et partagé [cs.DC]

Nicolas Fressengeas, Hervé Frezza-Buet. Cellular Computing and Least Squares for partial differential problems parallel solving. Journal of Cellular Automata, 2014, 9 (1), pp.1-21. ⟨hal-00107064v8⟩