A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations

DOI10.1016/j.jcp.2011.09.019zbMath1241.78013OpenAlexW2159723858WikidataQ57432851 ScholiaQ57432851MaRDI QIDQ418985

S. V. Petropavlovsky, Semyon V. Tsynkov

Publication date: 30 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.09.019

zbMATH Keywords

Huygens' principlenumerical solutionelectrostatic fieldaccumulation of chargeaft frontsartificial boundary conditions (ABCs)long-time computationsperfectly matched layers (PMLs)propagation of unsteady electromagnetic wavesuniform error bound

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Related Items (6)

The method of difference potentials for the Helmholtz equation using compact high order schemes ⋮ Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics ⋮ Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials ⋮ Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators ⋮ A method of boundary equations for unsteady hyperbolic problems in 3D ⋮ The computation of the time-dependent magnetic and electric matrix Green's functions in a parallelepiped

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