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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2019 094, 17 pp. (Mi ipmp2732)

This article is cited in 2 papers

Convergence estimates of the iterative algorithm for numerical solution of three-dimensional nonstationary problems of magnetic hydrodynamics

A. Yu. Krukovskiy, Yu. A. Poveschenko, L. V. Klochkova, D. V. Suzan


Abstract: In this paper, we investigate the convergence of the applied to the completely conservative difference schemes (CCDS) 3-D magnetic hydrodynamics (MHD) methods of the combined and separated solution of groups of difference equations broken down by physical processes (the methods of splitting into processes). The area of applicability of these methods is shown. The validity of the estimates obtained is confirmed by numerical calculations.

Keywords: 3-D magnetic hydrodynamics, implicit completely conservative difference scheme, convergence iterative process.

DOI: 10.20948/prepr-2019-94



© Steklov Math. Inst. of RAS, 2024