Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible Magnetohydrodynamics equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.09.003 ◽

2020 ◽

Vol 80 (10) ◽

pp. 2150-2161

Author(s):

Weifeng Qiu ◽

Ke Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Magnetohydrodynamics Equations ◽

Structure Preserving ◽

Incompressible Magnetohydrodynamics ◽

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A parallel finite element method for incompressible magnetohydrodynamics equations

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106076 ◽

2020 ◽

Vol 102 ◽

pp. 106076

Author(s):

Xiaojing Dong ◽

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Magnetohydrodynamics Equations ◽

Parallel Finite Element ◽

Incompressible Magnetohydrodynamics ◽

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A semi-discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4296 ◽

2017 ◽

Vol 40 (11) ◽

pp. 4179-4196 ◽

Author(s):

Zhiyong Si ◽

Cui Liu ◽

Yunxia Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Defect Correction ◽

Magnetohydrodynamics Equations ◽

Incompressible Magnetohydrodynamics ◽

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A modified characteristics projection finite element method for unsteady incompressible Magnetohydrodynamics equations

AIMS Mathematics ◽

10.3934/math.2020254 ◽

2020 ◽

Vol 5 (4) ◽

pp. 3922-3951

Author(s):

Shujie Jing ◽

◽

Jixiang Guan ◽

Zhiyong Si

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Magnetohydrodynamics Equations ◽

Incompressible Magnetohydrodynamics ◽

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A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.09.037 ◽

2019 ◽

Vol 346 ◽

pp. 982-1001 ◽

Author(s):

Huadong Gao ◽

Weifeng Qiu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Magnetohydrodynamics Equations ◽

Energy Conserving ◽

Incompressible Magnetohydrodynamics ◽

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Error estimate of a fully discrete defect correction finite element method for unsteady incompressible Magnetohydrodynamics equations

Applicable Analysis ◽

10.1080/00036811.2017.1366990 ◽

2017 ◽

Vol 97 (13) ◽

pp. 2355-2376 ◽

Author(s):

Yanfang Lei ◽

Yang Yang ◽

Zhiyong Si

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Defect Correction ◽

Magnetohydrodynamics Equations ◽

Fully Discrete ◽

Incompressible Magnetohydrodynamics ◽

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A decoupling penalty finite element method for the stationary incompressible MagnetoHydroDynamics equation

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2018.08.096 ◽

2019 ◽

Vol 128 ◽

pp. 601-612 ◽

Author(s):

Jien Deng ◽

Zhiyong Si

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stationary Incompressible Magnetohydrodynamics ◽

Magnetohydrodynamics Equation ◽

Penalty Finite Element Method ◽

Incompressible Magnetohydrodynamics ◽

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A structure-preserving Partitioned Finite Element Method for the 2D wave equation ⁎ ⁎This work is supported by the project ANR-16-CE92-0028, entitled Interconnected Infinite-Dimensional systems for Heterogeneous Media, INFIDHEM, financed by the French National Research Agency (ANR). Further information is available at https://websites.isae-supaero.fr/infidhem/the-project/.

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2018.06.033 ◽

2018 ◽

Vol 51 (3) ◽

pp. 119-124 ◽

Author(s):

Flávio Luiz Cardoso-Ribeiro ◽

Denis Matignon ◽

Laurent Lefèvre

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Heterogeneous Media ◽

Structure Preserving ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

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An efficient two-level algorithm for the 2D/3D stationary incompressible magnetohydrodynamics based on the finite element method

International Communications in Heat and Mass Transfer ◽

10.1016/j.icheatmasstransfer.2018.02.019 ◽

2018 ◽

Vol 98 ◽

pp. 183-190 ◽

Author(s):

Lei Wang ◽

Jian Li ◽

Pengzhan Huang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

The Finite Element Method ◽

Stationary Incompressible Magnetohydrodynamics ◽

Incompressible Magnetohydrodynamics ◽

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Structure-Preserving Finite Element Method on Topologically Nontrivial Domain

Computational Mechanics ◽

10.1007/978-3-540-75999-7_193 ◽

2007 ◽

pp. 393-393

Author(s):

Zaijiu Shang ◽

Shuhong Song

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Structure Preserving ◽

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A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.05.007 ◽

2010 ◽

Vol 199 (45-48) ◽

pp. 2840-2855 ◽

Author(s):

Chen Greif ◽

Dan Li ◽

Dominik Schötzau ◽

Xiaoxi Wei

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Divergence Free ◽

Incompressible Magnetohydrodynamics ◽

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