Cellular Computing and Least Squares for partial differential problems parallel solving

TL;DR

This paper presents a method combining cellular computing and Least Squares Finite Elements to efficiently solve partial differential problems using distributed parallel architectures.

Contribution

It introduces an adaptation of the Least Squares Finite Elements Method for cellular computing, enabling resource-demanding PDEs to be solved in parallel over networks.

Findings

Effective parallel solution of PDEs demonstrated

Method suitable for distributed computing environments

Potential for scalable and resource-efficient PDE solving

Abstract

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.