Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations

DOI10.1137/18M1166729zbMath1422.76127arXiv1702.05124MaRDI QIDQ5232303

John N. Shadid, Tan Bui-Thanh, Stephen Shannon, Jeonghun J. Lee

Publication date: 2 September 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05124

zbMATH Keywords

Maxwell equationsStokes equationsa priori error analysishybridized discontinuous Galerkin methodsresistive magnetohydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (10)

A multilevel approach for trace system in HDG discretizations ⋮ An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD ⋮ Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems ⋮ A multilevel block preconditioner for the HDG trace system applied to incompressible resistive MHD ⋮ New analysis of mixed finite element methods for incompressible magnetohydrodynamics ⋮ Implicit hybridized discontinuous Galerkin methods for compressible magnetohydrodynamics ⋮ A unified \textit{hp}-HDG framework for Friedrichs' PDE systems ⋮ A hybridizable discontinuous Galerkin formulation for the Euler-Maxwell plasma model ⋮ A superconvergent hybridizable discontinuous Galerkin method for weakly compressible magnetohydrodynamics ⋮ Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations

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