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Journal of Scientific Computing
Published in: Journal of Scientific Computing 3/2017

03-09-2016

Two-Level Penalty Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics Equations

Authors: Haiyan Su, Xinlong Feng, Jianping Zhao

Published in: Journal of Scientific Computing | Issue 3/2017

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Abstract

This work is concerned with the study of two-level penalty finite element method for the 2D/3D stationary incompressible magnetohydrodynamics equations. The new method is an interesting combination of the Newton iteration and two-level penalty finite element algorithm with two different finite element pairs \(P_{1}b\)-\(P_{1}\)-\(P_{1}b\) and \(P_{1}\)-\(P_{0}\)-\(P_{1}\). Moreover, the rigorous analysis of stability and error estimate for the proposed method are given. Numerical results verify the theoretical results and show the applicability and effectiveness of the presented scheme.
previous article Accurate Implicit–Explicit General Linear Methods with Inherent Runge–Kutta Stability
next article An Extrapolation Cascadic Multigrid Method Combined with a Fourth-Order Compact Scheme for 3D Poisson Equation

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Metadata
Title
Two-Level Penalty Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics Equations
Authors
Haiyan Su
Xinlong Feng
Jianping Zhao
Publication date
03-09-2016
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 3/2017
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-016-0276-8

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