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Parallel monotone domain decomposition algorithms for nonlinear singularly perturbed reaction-diffusion problems of parabolic type

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Date

2010

Authors

Hardy, Matthew P
Boglaev, I

Journal Title

Journal ISSN

Volume Title

Publisher

Dynamic Publishers, Inc.

Abstract

Recently, a monotone iterative domain decomposition algorithm has been proposed for nonlinear singularly perturbed reaction-diffusion problems of parabolic type. This paper describes a parallel implementation of the algorithm on a distributed memory cluster. Interprocess communication is effected by means of the MPI message passing library. For various domain decompositions, we give the execution time and parallel speedup on up to 16 processors. The parallel scale-up of the algorithm improves as the number of mesh points is increased.

Description

Keywords

Boundary layers, Domain decomposition, Implicit scheme, Monotone iterative method, Parabolic reaction-diffusion problem, Parallel computing

Citation

URI

http://hdl.handle.net/1885/259088

Collections

ANU Research Publications

Source

Neural, Parallel and Scientific Computations

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

2099-12-31

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01_Hardy_Parallel_monotone_domain_2010.pdf (178.81 KB)

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