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Journal of Scientific Computing

Erschienen in:

17.02.2015

Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics

verfasst von: Guo-Dong Zhang, Yan Zhang, Yinnian He

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2015

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Abstract

In this paper, we propose two-level coupled correction and decoupled parallel correction finite element methods for solving the stationary magnetohydrodynamics (MHD) equations. We prove the error estimates for the methods which show that if coarse mesh size \((H)\) and fine mesh size \((h)\) satisfy the relation \(H=O(\sqrt{h})\), the methods provide optimal convergence rates. Further, we study the dependence of the errors of the methods on parameters. Numerically, investigations for 2D/3D Hartmann flows with different physical parameters are conducted to validate theoretical analyses, which show the efficiency of the methods to solve the MHD problems.

Vorheriger Artikel A New Steplength Selection for Scaled Gradient Methods with Application to Image Deblurring

Nächster Artikel Error Estimates of a Pressure-Stabilized Characteristics Finite Element Scheme for the Oseen Equations

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Titel: Two-Level Coupled and Decoupled Parallel Correction Methods for Stationary Incompressible Magnetohydrodynamics
verfasst von: Guo-Dong Zhang
Yan Zhang
Yinnian He
Publikationsdatum: 17.02.2015
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2015
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-015-9994-6

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