Defect correction finite element method for the stationary incompressible Magnetohydrodynamics equation

Zhiyong Si, Shujie Jing and Yunxia Wang

Applied Mathematics and Computation, 2016, vol. 285, issue C, 184-194

Abstract: In this study, we give the defect correction finite element method for the stationary incompressible MHD equation. Firstly, the nonlinear MHD equation is solved with an artificial viscosity term. Then, the numerical solution is improved on the same grid by a linearized defect-correction technique. Then, we give the numerical analysis including stability analysis and error analysis. The numerical analysis proves that our method is stable and has an optimal convergence rate. Then, we give some numerical results. From the numerical results, we can see that our method is efficient for solving the MHD equations.

Keywords: Defect correct method; Finite element method; Stationary incompressible MHD equation; Stability analysis; Convergence analysis (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:285:y:2016:i:c:p:184-194

DOI: 10.1016/j.amc.2016.03.023

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