Paper Info
Title
Parallel Application of a Novel Domain Decomposition Preconditioner for the Stable Finite Element Solution of Three-Dimensional Convection-Dominated PDEs
Abstract
We describe and analyze the parallel implementation of a novel domain decomposition preconditioner for the fast iterative solution of linear systems of algebraic equations arising from the discretization of elliptic partial differential equations (PDEs) in three dimensions. In previous theoretical work, [3], this preconditioner has been proved to be optimal for symmetric positive-definite (SPD) linear systems. In this paper we provide details of our 3-d parallel implementation and demonstrate that the technique may be generalized to the solution of nonsymmetric algebraic systems, such as those arising when convection-diffusion problems are discretized using either Galerkin or stabilized finite element methods (FEMs), [9].
Year
DOI
Venue
2001
10.1007/3-540-44681-8_85
Euro-Par
Keywords
Field
DocType
parallel application,stable finite element solution,novel domain decomposition preconditioner,algebraic equation,parallel implementation,finite element method,fast iterative solution,three-dimensional convection-dominated pdes,linear system,3-d parallel implementation,convection-diffusion problem,elliptic partial differential equation,nonsymmetric algebraic system,domain decomposition,three dimensional,three dimensions
Discretization,Linear equation,Preconditioner,Mathematical analysis,Algebraic equation,Finite element method,Elliptic partial differential equation,Partial differential equation,Domain decomposition methods,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-42495-4
1
0.38
References 
Authors
6
2
Name
Order
Citations
PageRank
Peter K. Jimack1328.58
Sarfraz A. Nadeem292.24