Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method

DOI10.1007/s10915-021-01553-5zbMath1491.65154OpenAlexW3173614467MaRDI QIDQ2051039

Qianqian Ding, Xiaodi Zhang

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01553-5

zbMATH Keywords

finite element methoditeration methoderror estimatedivergence-freeconservation of chargesinductionless MHD equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations, New error analysis and recovery technique of a class of fully discrete finite element methods for the dynamical inductionless MHD equations, A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics, New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation, Dual-robust iterative analysis of divergence-conforming IPDG FEM for thermally coupled inductionless MHD system, Stability and error analysis of the SAV schemes for the 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, Electric potential-robust iterative analysis of charge-conservative conforming FEM for thermally coupled inductionless MHD system, A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations, A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations

Uses Software

• FreeFem++

Cites Work

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