An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers
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Publication:5097594
DOI10.1137/21M1416539zbMath1505.65305arXiv2104.14855OpenAlexW3159203400MaRDI QIDQ5097594
Fabian Laakmann, Patrick E. Farrell, Lawrence Mitchell
Publication date: 25 August 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.14855
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08)
Related Items (10)
A decoupled, unconditionally energy-stable and structure-preserving finite element scheme for the incompressible MHD equations with magnetic-electric formulation ⋮ A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics ⋮ Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization ⋮ Transformations for Piola-mapped elements ⋮ A compatible finite element discretisation for the nonhydrostatic vertical slice equations ⋮ New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation ⋮ Robust Multigrid Techniques for Augmented Lagrangian Preconditioning of Incompressible Stokes Equations with Extreme Viscosity Variations ⋮ Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics ⋮ Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation ⋮ Parameter-free preconditioning for nearly-incompressible linear elasticity
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