Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634075 | Applied Mathematics and Computation | 2008 | 21 Pages |
Abstract
The numerical solution of two-dimensional, linear and non-linear elliptic partial differential equations (PDEs) using two parallel algorithms namely Lawrie Sameh and domain decomposition has been computed on three parallel architectures. The PDEs considered here, describe the diffusion of a pollutant released from a constant source, variable source and a point source. In addition, an example with diffusion and chemical removal modelled by a non-linear PDE and three-dimensional diffusion equation is given. The parallel algorithms have been implemented on three-different systems (i) SUNFIRE (ii) IBM and (iii) PARAM. The scalability analysis has been done to analyze the performance of both the algorithms on all three parallel systems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Manish Modani, Maithili Sharan, S. Chandra Sekhara Rao,