Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections-Reference-Cited by-同舟云学术

Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections

Published:2012-07-13 Issue:3 Volume:93 Page:302-328
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Engng

Author:

Badia Santiago¹²,Planas Ramon¹,Gutiérrez-Santacreu Juan Vicente³

Affiliation:

1. Centre Internacional de Mètodes Numèrics en Enginyeria; Parc Mediterrani de la Tecnologia; Esteve Terradas 5 E-08860 Castelldefels Spain

2. Universitat Politècnica de Catalunya; Jordi Girona 1-3; Edifici C1 E-08034 Barcelona Spain

3. Dpto. de Matemática Aplicada I; Universidad de Sevilla, ETSI Informática. Avda. Reina Mercedes; s/n. 41012 Sevilla Spain

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/nme.4392/fullpdf

Reference51 articles.

1. An Introduction to Magnetohydrodynamics

2. Mixed finite element methods for stationary incompressible magneto-hydrodynamics;Schötzau;Numerische Mathematik,2004

3. On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics;Gunzburger;Mathematics of Computation,1991

4. Mixed finite element approximation of incompressible MHD problems based on weighted regularization;Hasler;Applied Numerical Mathematics,2004

5. Weighted regularization of Maxwell equations in polyhedral domains;Costabel;Numerische Mathematik,2002

Cited by 39 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Linear Stabilized Incompressible Magnetohydrodynamic Problem with Magnetic Pressure;Mathematics;2024-06-13

2. Unconditional optimal first‐order error estimates of a full pressure segregation scheme for the magnetohydrodynamics equations;Numerical Methods for Partial Differential Equations;2024-03-15

3. A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations;Applied Numerical Mathematics;2024-03

4. An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain;Journal of Computational Physics;2024-02

5. On scalable liquid-metal MHD solvers for fusion breeder blanket multiphysics applications;Plasma Physics and Controlled Fusion;2023-12-20