Nodal finite element methods for Maxwell's equations

DOI10.1016/j.crma.2004.10.020zbMath1076.78013OpenAlexW2089217650MaRDI QIDQ1763548

Erell Jamelot

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.2004.10.020

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (9)

Weighted edge finite element method for Maxwell's equations with strong singularity ⋮ The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell's equations ⋮ New numerical method for solving time-harmonic Maxwell equations with strong singularity ⋮ Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries ⋮ Time-dependent Maxwell's equations with charges in singular geometries ⋮ Solving Maxwell equations in 3D prismatic domains ⋮ Hodge decomposition to solve singular static Maxwell's equations in a non-convex polygon ⋮ Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements ⋮ SOLVING NUMERICALLY THE STATIC MAXWELL EQUATIONS IN AN AXISYMMETRIC SINGULAR GEOMETRY

Cites Work

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• Elliptic problems in domains with piecewise smooth boundaries
• The singular complement method for 2d scalar problems
• Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
• Augmented formulations for solving Maxwell equations
• A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics

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