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math.NA2025
Structure-preserving schemes for nonlinear symmetric hyperbolic and thermodynamically compatible systems of partial differential equations
Alessia Lucca, Michael Dumbser
This paper aims at developing exactly energy-conservative and structure-preserving finite volume schemes for the discretisation of first-order symmetric-hyperbolic and thermodynami…
math.NA2024
Variational derivation and compatible discretizations of the Maxwell-GLM system
Michael Dumbser, Alessia Lucca, Ilya Peshkov +1
We present a novel variational derivation of the Maxwell-GLM system, which augments the original vacuum Maxwell equations via a generalized Lagrangian multiplier approach (GLM) by…