Numerical solution of Maxwell's equations in the time domain using irregular nonorthogonal grids

DOI10.1016/0165-2125(88)90013-3zbMath0672.73029OpenAlexW2005755508MaRDI QIDQ1120338

Richard W. Ziolkowski, Niel K. Madsen

Publication date: 1988

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(88)90013-3

zbMATH Keywords

Maxwell's equationstime-domaintriangular elementsquadrilateralirregular nonorthogonal grids

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) Waves in solid mechanics (74J99) General topics in optics and electromagnetic theory (78A99)

Related Items (11)

A finite volume formulation for magnetostatics of discontinuous media within a multi-region OpenFOAM framework ⋮ Overlapping Yee FDTD method on nonorthogonal grids ⋮ A mixed finite element formulation for Maxwell's equations in the time domain ⋮ A time-domain method to solve transient elastic wave propagation in a multilayer medium with a hybrid spectral-finite element space approximation ⋮ A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes ⋮ Convergence analysis of a covolume scheme for Maxwell’s equations in three dimensions ⋮ Effective cell-centred time-domain Maxwell's equations numerical solvers ⋮ Residual distribution schemes for Maxwell's equations ⋮ Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes ⋮ A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains ⋮ An explicit fourth-order orthogonal curvilinear staggered-grid FDTD method for Maxwell's equations

Uses Software

• THREDE

Cites Work

• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow
• Point-matched time domain finite element methods for electromagnetic radiation and scattering

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