Defect correction finite element method for the stationary incompressible Magnetohydrodynamics equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.03.023 ◽

2016 ◽

Vol 285 ◽

pp. 184-194 ◽

Author(s):

Zhiyong Si ◽

Shujie Jing ◽

Yunxia Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Defect Correction ◽

Stationary Incompressible Magnetohydrodynamics ◽

Magnetohydrodynamics Equation ◽

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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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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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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Streamline diffusion finite element method for stationary incompressible magnetohydrodynamics

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21882 ◽

2014 ◽

Vol 30 (6) ◽

pp. 1877-1901 ◽

Author(s):

Guo-Dong Zhang ◽

Yinnian He ◽

Yan Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stationary Incompressible Magnetohydrodynamics ◽

Streamline Diffusion ◽

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 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 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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Optimal Recovery in the Finite-Element Method, Part 2: Defect Correction for Ordinary Differential Equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/8.4.527 ◽

1988 ◽

Vol 8 (4) ◽

pp. 527-540 ◽

Author(s):

J. W. BARRETT ◽

G. MOORE ◽

K. W. MORTON

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Optimal Recovery ◽

Defect Correction ◽

The Finite Element Method ◽

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A defect-correction stabilized finite element method for Navier–Stokes equations with friction boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.11.009 ◽

2015 ◽

Vol 90 ◽

pp. 9-21 ◽

Author(s):

Hailong Qiu ◽

Liquan Mei ◽

Hui Liu ◽

Stephen Cartwright

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Defect Correction ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

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Modified characteristics mixed defect-correction finite element method for the time-dependent Navier–Stokes problems

Applicable Analysis ◽

10.1080/00036811.2014.899354 ◽

2014 ◽

Vol 94 (4) ◽

pp. 701-724 ◽

Author(s):

Zhiyong Si ◽

Yinnian He ◽

Yunxia Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Navier Stokes ◽

Defect Correction ◽

Stokes Problems ◽

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