Journal Article10.1016/S0168-9274(98)00025-7
Numerical solution of problems on unbounded domains. a review
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TL;DR: An extensive survey and comparative assessment of different existing methods for constructing the ABCs are presented and a new ABCs technique proposed in recent work is described, which allows one to obtain highly accurate ABCs in the form of certain (nonlocal) boundary operator equations.
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About: This article is published in Applied Numerical Mathematics. The article was published on 01 Aug 1998. The article focuses on the topics: Boundary value problem.
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References
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
•Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
Allen Taflove
- 31 May 1995
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
10.8K
Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes
Antony Jameson,Wolfgang Schmidt,Eli Turkel +2 more
- 01 Jun 1981
TL;DR: In this paper, a new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains.
4.4K