The Perfectly Matched Layer
Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
... ξ i ( x i ) = 40 , x i ≤ 0 . 1 or x i > 0 . 9 , 0 otherwise, i = 1 , 2 , 3 . Hence Ω 0 = [0 . 1 , 0 . 9] 3 and the PML has width 0.1 in each direction, while the FE mesh is aligned with the boundary B of the ...
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Perfectly Matched Layer in Numerical Wave Propagation: Factors that Affect its Performance
... a perfectly matched layer (PML) for application with finite- difference time domain 共 FDTD 兲 solutions of Max- well’s ...a layer of a specially designed anisotropic medium is put at the edge ...
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Second-order scalar wave field modeling with a first-order perfectly matched layer
... a perfectly matched layer is one of the most effective ...traditional perfectly matched layer algorithm is calculated using a staggered grid based on the first-order wave ...
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Comparison of a finite difference and a mixed finite element formulation of the uniaxial perfectly matched layer
... the perfectly matched layer model ...semi-infinite layer to show consistency between the numerical and continuous models, and in the case of a finite PML to study the effects of terminating ...
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Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form
... the perfectly matched layer (PML) [1–12], grid stretching techniques [14] and others ...a layer where waves are damped by some modification or transformation of the ...the layer are ...
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GPU-Accelerated Fundamental Adi-FDTD with Complex Frequency Shifted Convolutional Perfectly Matched Layer
... the perfectly matched layer (PML) [5] remains popular due to its effectiveness in absorbing outgoing electromagnetic ...convolutional perfectly matched layer (CPML) with complex ...
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Unconditionally stable perfectly matched layer boundary conditions De Raedt, H.; Michielsen, K.
... Received 5 April 2007, revised 4 June 2007, accepted 4 July 2007 Published online 15 August 2007 PACS 02.60.Cb, 03.50.De, 41.20.Jb A brief review is given of a systematic, product-formula based approach to construct ...
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A higher order perfectly matched layer formulation for finite-difference time-domain seismic wave modeling
... We have developed a higher order perfectly matched layer (PML) formulation to improve the absorption performance for finite-difference time-domain seismic modeling. First, we outlined a new unsplit “ ...
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Finite Element Analysis in Combination with Perfectly Matched Layer to the Numerical Modeling of Acoustic Devices in Piezoelectric Materials
... Keywords: Finite Element Method; Perfectly Matched Layer; Surface Acoustic Wave; Piezoelcetric; Numerical Modeling 1. Introduction The ultimate optimization in the development of compo- nents such as ...
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Stability of finite difference numerical simulations of acoustic logging-while-drilling with different perfectly matched layer schemes
... The FDTD implementations include computational domain boundaries that will inevitably bring the reflected energy back into the computational domain, and then contaminate the signal. To avoid the artificial reflection ...
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Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals
... Abstract Perfectly matched layer (PML) boundary conditions are derived for finite-difference time- domain analysis of acoustic waves within piezoelectric ...
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Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals
... Abstract Perfectly matched layer (PML) boundary conditions are derived for finite-difference time- domain analysis of acoustic waves within piezoelectric ...
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Perfectly Matched Layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates
... Perfectly Matched Layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods.. Application to rotating Bose-Einstein condensates..[r] ...
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Initial study and implementation of the convolutional Perfectly Matched Layer for modeling of the 2D acoustic wave equation- Wilberth Herreraand Arthur Weglein, M-OSRP
... this layer was designed to absorb incident waves without reflection (for all frequencies and any angle of incidence) at the interface between the propagation medium filling the computational domain and the domain ...
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Development of a Perfectly Matched Layer Technique for a Discontinuous-Galerkin Spectral-Element Method
... IV. Results In order to assess and demonstrate the capabilities of the PML technique, we present solutions for four test–cases: propagation of an acoustic pulse in an inviscid fluid, convection of an isentropic vortex, ...
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Multipole Perfectly Matched Layer for Finite-Difference Time-Domain electromagnetic modelling
... In the following the more efficient CFS-PMLs in terms of memory storage and computational effort are compared to 2-pole MPMLs and 2nd order PMLs using the 2D and 3D modelling examples.. [r] ...
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A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation
... which we apply the Neumann boundary condition ∂u ∂n = ikn 1 exp(−ikx 1 ), (20) where n = (n 1 , n 2 ) is the outer unit normal on ∂D N . Fig. 11 shows the real part of the scattered field for k = 40, computed on a very ...
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A parameter free perfectly matched layer formulation for the finite element based solution of the Helmholtz equation
... which we apply the Neumann boundary condition ∂u ∂n = ikn 1 exp(−ikx 1 ), (20) where n = (n 1 , n 2 ) is the outer unit normal on ∂D N . Fig. 11 shows the real part of the scattered field for k = 40, computed on a very ...
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A higher order perfectly matched layer formulation for finite-difference time-domain seismic wave modeling
... This paper extends the PML implementation described by (Giannopoulos, 2011) to the seismic wave equation using a RI-PML approach. It does so based on a new and improved [r] ...
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Research on the Complex Frequency-Shifted Perfectly Matched Layer Algorithm in the Finite Difference Time Domain Method
... 摘要 1966 年，由 K.S.Yee 首次提出了时域有限差分法（ FDTD ）。吸收边界条件 作为 FDTD 方法中的重要组成部分一直备受关注，并不断研究发展。目前，在 所有的吸收边界条件中，完全匹配层（ PML ）的效果最理想、应用最广泛。 PML 的基本原理是，在 FDTD 计算域的截断边界处设置特殊的介质层，该介质层的 波阻抗能完全匹配相邻介质的波阻抗，并且与外[r] ...
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