Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations

DOI10.1016/J.CAMWA.2022.04.004OpenAlexW4224924098MaRDI QIDQ2671795

Bo Tang, Haiyan Su, Xianghai Zhou

Publication date: 3 June 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.04.004

zbMATH Keywords

error estimatesfinite element methodtwo-levelinductionless MHD equationsPicard coupling correction

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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 (3)

New error analysis and recovery technique of a class of fully discrete finite element methods for the dynamical inductionless MHD equations ⋮ New error analysis of charge-conservative finite element methods for stationary inductionless MHD equations ⋮ Local and parallel finite element algorithms based on charge-conservation approximation for the stationary inductionless magnetohydrodynamic problem

Cites Work

• Unnamed Item
• Unnamed Item
• Approximation of the inductionless MHD problem using a stabilized finite element method
• A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
• Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem
• Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics
• A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
• A two-level discretization method for the stationary MHD equations
• Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
• Two-level Picard and modified Picard methods for the Navier-Stokes equations
• Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method
• A two-level discretization method for the Navier-Stokes equations
• A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. I: On a rectangular collocated grid system
• A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. II: On an arbitrary collocated mesh
• A simplified two-level method for the steady Navier-Stokes equations
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Mixed and Hybrid Finite Element Methods
• Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
• Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
• A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part I: Convergence
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

This page was built for publication: Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations