Journal ArticleDOI
An Auxiliary Differential Equation Formulation for the Complex-Frequency Shifted PML
Stephen D. Gedney,Bo Zhao +1 more
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TLDR
The ADE-CPML method provides a more flexible representation that can be extended to higher-order methods and is applied to the discontinuous Galerkin finite element time-domain method.Abstract:
An efficient auxiliary-differential equation (ADE) form of the complex frequency shifted perfectly matched layer (CPML) absorbing media derived from a stretched coordinate PML formulation is presented. It is shown that a unit step response of the ADE-CPML equations leads to a discrete form that is identical to Roden's convolutional PML method for FDTD implementations. The derivation of discrete difference operators for the ADE-CPML equations for FDTD is also presented. The ADE-CPML method is also extended in a compact form to a multiple-pole PML formulation. The advantage of the ADE-CPML method is that it provides a more flexible representation that can be extended to higher-order methods. In this paper, it is applied to the discontinuous Galerkin finite element time-domain (DGFETD) method. It is demonstrated that the ADE-CPML maintains the exponential convergence of the DGFETD method.read more
Citations
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Introduction to the Finite-Difference Time-Domain (Fdtd) Method for Electromagnetics
TL;DR: This book guides the reader through the foundational theory of the FDTD method starting with the one-dimensional transmission-line problem and then progressing to the solution of Maxwell's equations in three dimensions.
Journal ArticleDOI
Accelerating a three-dimensional finite-difference wave propagation code using GPU graphics cards
TL;DR: In this article, the authors describe the implementation of the code in CUDA to simulate the propagation of seismic waves in a heterogeneous elastic medium, and also implement Convolution Perfectly Matched Layers (CPMLs) on the graphics cards to efficiently absorb outgoing waves on the fictitious edges of the grid.
Journal ArticleDOI
A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media
TL;DR: A method is proposed for solving the time-dependent Maxwell's equations via the discontinuous Galerkin finite-element time-domain (DGFETD) method with dispersive media and it is shown to exhibit high-order convergence.
Journal ArticleDOI
A variational formulation of a stabilized unsplit convolutional perfectly matched layer for the isotropic or anisotropic seismic wave equation
TL;DR: In this article, Gegney et al. derived a variational formulation of the perfectly matched layer (PML) method for the seismic wave equation and validated it using the spectral element method based on a hybrid first/second-order time integration scheme.
Journal ArticleDOI
Unsplit Implementation of Higher Order PMLs
TL;DR: In this article, an unsplit implementation of higher order perfectly matched layers (PMLs) using a recursive integration approach is presented, which is based on the complex coordinate stretching of space, and is applicable to PMLs employing the standard stretching function or a mixture of either types.
References
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Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
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.
Journal ArticleDOI
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.
Journal ArticleDOI
A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates
Weng Cho Chew,W.H. Weedon +1 more
TL;DR: A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates that allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies.
Journal ArticleDOI
An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices
TL;DR: In this paper, a perfectly matched layer (PML) absorbing medium composed of a uniaxial anisotropic material is presented for the truncation of finite-difference time domain (FDTD) lattices.
Journal ArticleDOI
Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media
J. Alan Roden,Stephen D. Gedney +1 more
TL;DR: A novel implementation of perfectly matched layer (PML) media is presented for the termination of FDTD lattices based on the stretched coordinate form of the PML, a recursive convolution, and the use of complex frequency, shifted (CFS) PML parameters.
Related Papers (5)
Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media
J. Alan Roden,Stephen D. Gedney +1 more
Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers
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