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

DOI10.1016/j.jcp.2007.02.027zbMath1343.76049OpenAlexW1992604427MaRDI QIDQ2381245

S. Ovtchinnikov, Xiao-Chuan Cai, F. Dobrian, David E. Keyes

Publication date: 14 September 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.02.027

zbMATH Keywords

parallel computingNewton-Krylovmagnetohydrodynamicsfully implicitrestricted additive Schwarz preconditioner

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Uses Software

• PETSc
• MPI

Cites Work

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• A fully implicit numerical method for single-fluid resistive magnetohydrodynamics
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
• Higher-order time integration schemes for the unsteady Navier-Stokes equations on unstructured meshes.
• An implicit, nonlinear reduced resistive MHD solver
• A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Estimation of Sparse Jacobian Matrices and Graph Coloring Blems
• Solving Ordinary Differential Equations I
• The numerical solution of a nonseparable elliptic partial differential equation by preconditioned conjugate gradients
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
• Using Krylov-Schwarz methods in an adaptive mesh refinement environment
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• Nonlinearly Preconditioned Inexact Newton Algorithms
• An adaptive finite element method for magnetohydrodynamics