Constitutive equations for discrete electromagnetic problems over polyhedral grids

DOI10.1016/j.jcp.2007.02.032zbMath1127.78002OpenAlexW2052900318MaRDI QIDQ2381242

Francesco Trevisan, Lorenzo Codecasa

Publication date: 14 September 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.02.032

zbMATH Keywords

constitutive equationscell methoddiscrete approach

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Electromagnetic theory (general) (78A25) Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in Section 78-XX) (78A97)

Related Items

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in \textit{Code\_Saturne}, Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes, Convergence analysis of the high-order mimetic finite difference method, A new set of basis functions for the discrete geometric approach, Adaptive cell method with constitutive matrix correction for simulating physical field on a coarse grid, Base functions and discrete constitutive relations for staggered polyhedral grids, A Decoupled and Positivity-Preserving DDFVS cheme for Diffusion Problems on Polyhedral Meshes, Mimetic finite difference method for the Stokes problem on polygonal meshes, Geometrically defined basis functions for polyhedral elements with applications to computational electromagnetics

Cites Work

• Manifolds, tensor analysis, and applications.
• Piecewise uniform bases and energetic approach for discrete constitutive matrices in electromagnetic problems
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