Collocated electrodynamic FDTD schemes using overlapping Yee grids and higher-order Hodge duals

DOI10.1016/j.jcp.2016.08.048zbMath1373.78433OpenAlexW2512820033MaRDI QIDQ1674689

C. Deimert, Michal Okoniewski, Michael E. Potter

Publication date: 26 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.08.048

zbMATH Keywords

discrete exterior calculusFDTD methods

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Differential forms in global analysis (58A10)

Cites Work

• The chain collocation method: a spectrally accurate calculus of forms
• Differential forms for scientists and engineers
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• An analysis of finite volume, finite element, and finite difference methods using some concepts from algebraic topology
• Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
• Finite element exterior calculus: from Hodge theory to numerical stability
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Lattice electromagnetic theory from a topological viewpoint
• Differential Forms in Electromagnetics
• Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media
• FDTD Method on a Lebedev Grid for Anisotropic Materials
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