LAGRANGIAN AND SYMMETRY STRUCTURE OF THE DIVERGENCE CLEANING MODEL BASED ON GENERALIZED LAGRANGE MULTIPLIERS

DOI10.1142/S0129183104005541zbMath1083.70025MaRDI QIDQ5715623

Yong-Joong Lee, Claus-Dieter Munz, Rudolf Schneider

Publication date: 4 January 2006

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

Maxwell equationscharge conservationVlasov-Maxwell systemmagnetohydrodynamic shallow water equations

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electro- and magnetostatics (78A30)

Cites Work

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• A method for incorporating Gauss' law into electromagnetic PIC codes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Approximate Riemann solvers, parameter vectors, and difference schemes
• On a finite-element method for solving the three-dimensional Maxwell equations
• On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
• Divergence correction techniques for Maxwell solvers based on a hyperbolic model
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes
• Hyperbolic divergence cleaning for the MHD equations
• Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
• A solution-adaptive upwind scheme for ideal magnetohydrodynamics
• The origin of spurious solutions in computational electromagnetics
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On Godunov-Type Methods for Gas Dynamics
• Maxwell's equations when the charge conservation is not satisfied
• On the solution of nonlinear hyperbolic differential equations by finite differences

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