๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Parallel implementation of fast elliptic solver

โœ Scribed by Svetozara Petrova

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
927 KB
Volume
23
Category
Article
ISSN
0167-8191

No coin nor oath required. For personal study only.

โœฆ Synopsis

A fast elliptic solver for separable elliptic equations on rectangular domains is considered. The method is referred to as FASV (fast algorithm for separation of variables) and is based on the odd-even block elimination technique in combination with the method for discrete separation of variables. The algorithm is connected with solving systems of algebraic equations with sparsity whose right-hand sides have only a few nonzero block components. The method is effective and stable by construction. Only a few of the block solution components are needed and hence these problems might be solved incompletely. Parallel implementation of the method proposed using the public domain PVM software is described in terms of decomposition of the original rectangular domain into a number of strips. Numerical results for a model problem on a cluster of a few IBM workstations are reported.

๐Ÿ“œ SIMILAR VOLUMES

Parallel Implementations of 2D Explicit
Parallel Implementations of 2D Explicit Euler Solvers
โœ L. Giraud; G. Manzini ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

In this work we present a subdomain partitioning strategy applied to an explicit high-resolution Euler solver. We describe the design The subdomain partitioning strategy adopted in this of a portable parallel multi-domain code suitable for parallel enviwork is a special case of the more general mul

A Parallel Incompressible Flow Solver Pa
A Parallel Incompressible Flow Solver Package with a Parallel Multigrid Elliptic Kernel
โœ John Z. Lou; Robert Ferraro ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 674 KB

portable parallel flow solver package for multiple applications. In terms of efficiency, we want the solver to have The development and applications of a parallel, time-dependent incompressible Navier-Stokes flow solver and a parallel multigrid high numerical efficiency, as well as parallel computi

Fast Parallel Direct Solvers for Coarse
Fast Parallel Direct Solvers for Coarse Grid Problems
โœ H.M Tufo; P.F Fischer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 366 KB

We have developed a fast direct solver for parallel solution of coarse grid problems, Ax=b, such as arise when domain decomposition or multigrid methods are applied to elliptic partial differential equations in d space dimensions. The approach is based on a (quasi-) sparse factorization of the inver