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A preconditioned semi-implicit method for magnetohydrodynamics equations. (English) Zbl 0964.76057

The authors discuss the development of a general anisotropic semi-implicit scheme for MHD problems when the geometry does not allow the use of direct methods, due to a large number of filling coefficients in the matrix profile. The choice of a good preconditioner appears essential to guarantee a fast convergence of iterative methods, especially in the case of nonsymmetric linear systems. The scheme presented here enables the use of a large time step as well as provides a high spatial resolution.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
65F10 Iterative numerical methods for linear systems
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