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International Journal of Computer Mathematics Volume 90, 2013 - Issue 7
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Section B

A subgrid stabilization finite element method for incompressible magnetohydrodynamics

Mine A. Belenli Department of Mathematics, Middle East Technical University, 06800, Ankara, Turkey
,
Songül Kaya Department of Mathematics, Institute of Applied Mathematics, Middle East Technical University, 06800, Ankara, Turkey
,
Leo G. Rebholz Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USACorrespondence[email protected]
&
Nicholas E. Wilson Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA; Department of Mathematical Sciences, Michigan Tech University, Houghton, MI, 49931, USA
Pages 1506-1523 | Received 17 Apr 2012, Accepted 09 Dec 2012, Published online: 07 Mar 2013

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Yun-Bo Yang & Yao-Lin Jiang. (2018) Analysis of two decoupled time-stepping finite-element methods for incompressible fluids with microstructure. International Journal of Computer Mathematics 95:4, pages 686-709.
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Tong Zhang, Yanxia Qian & YuGao HuangFu. (2017) Two-level finite element variational multiscale method based on bubble functions for the steady incompressible MHD flow. International Journal of Computer Mathematics 94:3, pages 515-535.
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Articles from other publishers (11)

Yun-Bo Yang & Bin-Chao Huang. (2024) Numerical Analysis and Computation of a Subgrid-Sparse-Grad-Div Stabilization Method for Incompressible Flow Problems. Discrete Dynamics in Nature and Society 2024, pages 1-19.
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Huimin Ma & Pengzhan Huang. (2022) A vector penalty-projection approach for the time-dependent incompressible magnetohydrodynamics flows. Computers & Mathematics with Applications 120, pages 28-44.
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Pengzhan Huang. (2022) A Finite Element Algorithm for the Nonstationary Incompressible Magnetohydrodynamic System Based on a Correction Method. Mediterranean Journal of Mathematics 19:3.
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Mine Akbas. A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations. A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations.
Xiaoli Lu & Pengzhan Huang. (2020) A Modular Grad-Div Stabilization for the 2D/3D Nonstationary Incompressible Magnetohydrodynamic Equations. Journal of Scientific Computing 82:1.
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Yun-Bo Yang & Yao-Lin Jiang. (2017) An explicitly uncoupled VMS stabilization finite element method for the time-dependent Darcy-Brinkman equations in double-diffusive convection. Numerical Algorithms 78:2, pages 569-597.
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Gang Chen & Minfu Feng. (2017) Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation. Advances in Applied Mathematics and Mechanics 9:2, pages 362-377.
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Rong An & Can Zhou. (2017) Error analysis of a fractional-step method for magnetohydrodynamics equations. Journal of Computational and Applied Mathematics 313, pages 168-184.
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Santiago Badia, Ramon Codina & Ramon Planas. (2014) Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. Archives of Computational Methods in Engineering 22:4, pages 621-636.
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Yunzhang Zhang, Zhoufeng Wang & Qili Tang. (2015) Fully discrete subgrid stabilized finite element method for the Darcy-Brinkman equations in Double-Diffusion convection. Fully discrete subgrid stabilized finite element method for the Darcy-Brinkman equations in Double-Diffusion convection.
Gang Chen, Minfu Feng & Hong Zhou. (2014) Local projection stabilized method on unsteady Navier–Stokes equations with high Reynolds number using equal order interpolation. Applied Mathematics and Computation 243, pages 465-481.
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