Paper Info
Title
A Parallel Domain Decomposition Algorithm for the Adaptive Finite Element Solution of 3-D Convection-Diffusion Problems
Abstract
In this paper we extend our previous work on the use of domain decomposition (DD) preconditioning for the parallel finite element (FE) solution of three-dimensional elliptic problems [3, 6] and convection-dominated problems [7, 8] to include the use of local mesh refinement. The preconditioner that we use is based upon a hierarchical finite element mesh that is partitioned at the coarsest level. The individual subdomain problems are then solved on meshes that have a single layer of overlap at each level of refinement in the mesh. Results are presented to demonstrate that this preconditioner leads to iteration counts that appear to be independent of the level of refinement in the final mesh, even in the case where this refinement is local in nature: as produced by an adaptive finite element solver for example.
Year
Venue
Keywords
2002
International Conference on Computational Science (2)
parallel domain decomposition algorithm,hierarchical finite element mesh,adaptive finite element solution,local mesh refinement,convection-dominated problem,individual subdomain problem,iteration count,adaptive finite element solver,3-d convection-diffusion problems,domain decomposition,final mesh,parallel finite element,coarsest level,three dimensional
Field
DocType
Volume
Polygon mesh,Preconditioner,Parallel algorithm,Computer science,Algorithm,Finite element method,Adaptive algorithm,Numerical analysis,Domain decomposition methods,Mixed finite element method
Conference
2330
ISSN
ISBN
Citations 
0302-9743
3-540-43593-X
0
PageRank 
References 
Authors
0.34
7
2
Name
Order
Citations
PageRank
Peter K. Jimack1328.58
Sarfraz A. Nadeem292.24