Magnetic charges or why it is sometimes reasonable to model something mathematically that does not exist at all

DOI10.1007/S00591-006-0006-7zbMath1134.78001OpenAlexW1963878995MaRDI QIDQ2457883

Friedemann Kemm

Publication date: 23 October 2007

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00591-006-0006-7

zbMATH Keywords

wave equationtelegraph equationmagnetohydrodynamic equationsheat conduction equationlinear advection equationHodge operatorerror reduction in computer simulationsfictive magnetic chargefictive magnetic current densityfictive velocity, fictive conservation relation of magnetic chargesun surface

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Basic methods for problems in optics and electromagnetic theory (78M99)

Cites Work

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• The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
• Hyperbolic divergence cleaning for the MHD equations
• Maxwell's equations when the charge conservation is not satisfied
• Constraint-Preserving Upwind Methods for Multidimensional Advection Equations
• Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations
• Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system

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