Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems

S. Ovtchinnikov, F. Dobrian, X. C. Cai*, D. E. Keyes

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    18 Scopus citations


    A parallel, fully coupled, nonlinearly implicit Newton-Krylov-Schwarz algorithm is proposed for the numerical simulation of a magnetic reconnection problem described by a system of resistive Hall magnetohydrodynamics equations in slab geometry. A key component of the algorithm is a restricted additive Schwarz preconditioner defined for problems with doubly periodic boundary conditions. We show numerically that with such a preconditioned nonlinearly implicit method the time step size is no longer constrained by the CFL number or the convergence of the Newton solver. We report the parallel performance of the algorithm and software on machines with thousands of processors.

    Original languageEnglish (US)
    Pages (from-to)1919-1936
    Number of pages18
    JournalJournal of Computational Physics
    Issue number2
    StatePublished - Aug 10 2007


    • Fully implicit
    • Magnetohydrodynamics
    • Newton-Krylov
    • Parallel computing
    • Restricted additive Schwarz preconditioner

    ASJC Scopus subject areas

    • Numerical Analysis
    • Modeling and Simulation
    • Physics and Astronomy (miscellaneous)
    • General Physics and Astronomy
    • Computer Science Applications
    • Computational Mathematics
    • Applied Mathematics


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