Solving Maxwell equations in 3D prismatic domains

DOI10.1016/j.crma.2004.09.032zbMath1068.78001OpenAlexW1977519613MaRDI QIDQ1763496

Jun Zou, Emmanuelle Garcia, Patrick~jun. Ciarlet

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.09.032

zbMATH Keywords

Maxwell equationssingular complement method3D prismatic domains

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Variational principles of physics (49S05)

Related Items

Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries, Time-dependent Maxwell's equations with charges in singular geometries, Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements

Cites Work

• Maxwell operator in regions with nonsmooth boundaries
• On a finite-element method for solving the three-dimensional Maxwell equations
• Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
• Space-time regularity of the solution to Maxwell's equations in non-convex domains
• Nodal finite element methods for Maxwell's equations
• Augmented formulations for solving Maxwell equations
• The Fourier singular complement method for the Poisson problem. I: Prismatic domains
• Spectral element discretization of the Maxwell equations
• A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
• Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel