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 proceedingChapterpeer-review


    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 languageEnglish (US)
    Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
    PublisherSpringer Verlag
    Number of pages8
    ISBN (Print)9783540344681
    StatePublished - 2007

    Publication series

    NameLecture Notes in Computational Science and Engineering
    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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