A mixed finite element formulation for Maxwell's equations in the time domain

DOI10.1016/0021-9991(90)90181-YzbMath0703.65082OpenAlexW2070487029MaRDI QIDQ916326

Niel K. Madsen, Robert L. Lee

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90181-y

zbMATH Keywords

algorithmstime domainMaxwell's equationsfinite difference schemescurved boundariesGalerkin finite elementinterfacial discontinuities

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05)

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Cites Work

• Experiments with some low-order finite element schemes for the Navier- Stokes equations
• Finite element solution of Maxwell's equations for hyperthermia treatment planning
• Some integration formulas for a four-node isoparametric element
• Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids
• Smoothing techniques for certain primitive variable solutions of the Navier-Stokes equations
• Improved finite element forms for the shallow-water wave equations
• A simple method to generate high-order accurate convection operators for explicit schemes based on linear finite elements
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
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