On the origin of divergence errors in MHD simulations and consequences for numerical schemes

DOI10.2140/camcos.2013.8.1zbMath1282.76199OpenAlexW2002175780MaRDI QIDQ394237

Friedemann Kemm

Publication date: 24 January 2014

Published in: Communications in Applied Mathematics and Computational Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/camcos.2013.8.1

zbMATH Keywords

curlplasmafinite volume methodMaxwell equationsfinite differencesinvolutionsdivergencecompressible flowoperatorresonanceconstraintmagnetohydrodynamicsschemehyperbolic PDEphysics

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Discrete version of topics in analysis (39A12) Difference operators (39A70) Applications to the sciences (65Z05) Initial value problems for first-order hyperbolic systems (35L45) Degenerate hyperbolic equations (35L80) Overdetermined systems of PDEs with variable coefficients (35N10)

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