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math.NA2026
SBP-FDEC: Summation-by-Parts Finite Difference Exterior Calculus
Daniel Bach, Andrés M. Rueda-RamÃrez, Eric Sonnendrücker +2
We demonstrate that we can carry over the strategy of Finite Element Exterior Calculus (FEEC) to Summation-by-Parts (SBP) Finite Difference (FD) methods to achieve divergence- and…
math.NA2025
The Linearized Vlasov-Maxwell System as a Hamiltonian System
Dominik Bell, Martin Campos Pinto, Stefan Possanner +1
We present a Hamiltonian formulation for the linearized Vlasov-Maxwell system with a Maxwellian background distribution function. We discuss the geometric properties of the model a…
math.NA2024
Structure preserving hybrid Finite Volume Finite Element method for compressible MHD
Francesco Fambri, Eric Sonnendrücker
In this manuscript we present a novel and efficient numerical method for the compressible viscous and resistive MHD equations for all Mach number regimes. The time-integration stra…