Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers

DOI10.1007/s10483-016-2107-9zbMath1367.76035OpenAlexW2529983303MaRDI QIDQ2363865

Shipeng Mao, Jikun Zhao, Weiying Zheng

Publication date: 26 July 2017

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2107-9

zbMATH Keywords

posteriori error estimatemagnetohydrodynamic (MHD) flowanisotropic adaptive finite element method (FEM)

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (5)

On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics ⋮ Error analysis of a fully discrete projection method for magnetohydrodynamic system ⋮ Robust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flow ⋮ New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics ⋮ Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities

Uses Software

• FreeFem++
• bamg

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers
• The two-level element free Galerkin method for MHD flow at high Hartmann numbers
• Finite element analysis of magnetohydrodynamic pipe flow
• A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers
• Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes
• A posteriori error estimators for convection-diffusion equations
• An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
• Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems
• \(C^{0}\)-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth-order elliptic problem
• \(C^0\)-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem
• The finite element method for MHD flow at high Hartmann numbers
• Anisotropic mesh adaptation for CFD computations
• Interpolation theory of anisotropic finite elements and applications
• The reliability of local error estimators for convection-diffusion equations
• F.E.M. in steady MHD duct flow problems
• Validation of a posteriori error estimators by numerical approach
• An Anisotropic Error Indicator Based on Zienkiewicz--Zhu Error Estimator: Application to Elliptic and Parabolic Problems
• A posteriori error estimation for convection dominated problems on anisotropic meshes
• Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem
• A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers

This page was built for publication: Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers