2024/04/29 by Markus Clemens, Marvin‐Lucas Henkel, Clemens, Markus +5
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Engineering #Cosmology and Gravitation Theories #FOS: Computer and information sciences #Finance #Numerical methods for differential equations #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2404.18767
openalex publication_date 2024/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
Electromagneto-quasistatic (EMQS) field formulations are often dubbed as Darwin-type field formulations which approximate the Maxwell equations by neglecting radiation effects while modelling resistive, capacitive, and inductive effects. A common feature of EMQS field models is the Darwin-Ampére equation formulated with the magnetic vector potential and the electric scalar potential. EMQS field formulations yield different approximations to the Maxwell equations by choice of additional gauge equations. These EMQS formulations are analyzed within the port-Hamiltonian system (PHS) framework. It is shown via the PHS compatibility equation that formulations based on the combination of the Darwin-Ampére equation and the full Maxwell continuity equation yield port-Hamiltonian systems implying numerical stability and specific EMQS energy conservation.