On Convergence of Numerical Solutions for the Compressible MHD System with Exactly Divergence-Free Magnetic Field

DOI10.1137/21M1431011MaRDI QIDQ5096458

Bangwei She, Yang Li

Publication date: 17 August 2022

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

Full work available at URL: https://arxiv.org/abs/2107.01369

zbMATH Keywords

stabilityconvergenceweak-strong uniquenessconsistent approximationdissipative weak solutioncompressible MHD

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions ⋮ On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions

Cites Work

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• On convergence of numerical solutions for the compressible MHD system with weakly divergence-free magnetic field

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