Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problem

Serguei Ovtchinnikov; Florin Dobrian; Xiao Chuan Cai; David Keyes

doi:10.1007/978-3-540-34469-8_40

Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problem

Serguei Ovtchinnikov, Florin Dobrian, Xiao Chuan Cai, David Keyes

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We present a parallel fully coupled implicit Newton-Krylov-Schwarz algorithm for the numerical solution of the unsteady magnetic reconnection problem described by a system of reduced magnetohydrodynamics equations in two dimensions. In particular, we discuss the linear and nonlinear convergence, the parallel performance of a third-order implicit algorithm and compare to solutions obtained with an explicit method.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XVI
Publisher	Springer Verlag
Pages	333-340
Number of pages	8
ISBN (Print)	9783540344681
DOIs	https://doi.org/10.1007/978-3-540-34469-8_40
State	Published - 2007

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	55
ISSN (Print)	1439-7358

ASJC Scopus subject areas

Modeling and Simulation
Engineering(all)
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-540-34469-8_40

Cite this

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abstract = "We present a parallel fully coupled implicit Newton-Krylov-Schwarz algorithm for the numerical solution of the unsteady magnetic reconnection problem described by a system of reduced magnetohydrodynamics equations in two dimensions. In particular, we discuss the linear and nonlinear convergence, the parallel performance of a third-order implicit algorithm and compare to solutions obtained with an explicit method.",

author = "Serguei Ovtchinnikov and Florin Dobrian and Cai, {Xiao Chuan} and David Keyes",

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Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problem. / Ovtchinnikov, Serguei; Dobrian, Florin; Cai, Xiao Chuan et al.

Domain Decomposition Methods in Science and Engineering XVI. Springer Verlag, 2007. p. 333-340 (Lecture Notes in Computational Science and Engineering; Vol. 55).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Keyes, David

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AB - We present a parallel fully coupled implicit Newton-Krylov-Schwarz algorithm for the numerical solution of the unsteady magnetic reconnection problem described by a system of reduced magnetohydrodynamics equations in two dimensions. In particular, we discuss the linear and nonlinear convergence, the parallel performance of a third-order implicit algorithm and compare to solutions obtained with an explicit method.

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Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problem

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