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.
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Ovtchinnikov, S., Dobrian, F., Cai, XC., Keyes, D. (2007). Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problem. In: Widlund, O.B., Keyes, D.E. (eds) Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_40
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DOI: https://doi.org/10.1007/978-3-540-34469-8_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34468-1
Online ISBN: 978-3-540-34469-8
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