The Perfectly Matched Layer (PML) Boundary Condition
Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form
... non-reflecting boundary condition (NRBC) [19,20], and damping layers such as the perfectly matched layer (PML) [1–12], grid stretching techniques [14] and others ...a boundary ...
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Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
... the boundary B of the perfectly matched layer to avoid spurious reflections due to the ...Dirichlet boundary condition are shown at different ...outer boundary of the ...
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Absorbing boundary conditions and perfectly matched layers in wave propagation problems
... absorbing boundary conditions and perfectly matched layers for some scalar second order partial differential operators: the Helmholtz equation and the wave ...
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Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals
... PML boundary conditions have been derived for FDTD analysis of acoustic waves within piezoelectric ...these boundary condi- tions has been demonstrated in simulations of wave propagation in bismuth ...
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Stable perfectly-matched-layer boundary conditions for finite-difference time-domain simulation of acoustic waves in piezoelectric crystals
... PML boundary conditions have been derived for FDTD analysis of acoustic waves within piezoelectric ...these boundary condi- tions has been demonstrated in simulations of wave propagation in bismuth ...
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Perfectly Matched Layer in Numerical Wave Propagation: Factors that Affect its Performance
... boundary condition. 8 –11 Another way is to use the so-called transparent boundary condition 12–14 in which the parameters of the wave near the edge of the window are so modified for a given ...
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Development of a Perfectly Matched Layer Technique for a Discontinuous-Galerkin Spectral-Element Method
... shear layer problem, the flow physics is influenced both by vorticity and ...characteristic boundary condition without any buffer region, and the sponge layer approach in the x 1 ...
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Multipole Perfectly Matched Layer for Finite-Difference Time-Domain electromagnetic modelling
... where κ max = 7, m 1 = 4 and for the first pole m 2 = 2 and α 1 is constant. For the second pole m 3 = 8 and α 2 is inversely linearly scaled from the maximum value at the inner PML interface to zero at the outer PML ...
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Second-order scalar wave field modeling with a first-order perfectly matched layer
... the boundary condi- tion of the CG-based method because it is easy to deduce its second-order form, its absorption performance is obviously worse than that of the other three PML methods since it is based on a ...
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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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A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation
... the condition number of the maple-generated finite-element ...the condition number of the finite-element matrix obtained by actually setting δ PML = ...
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A parameter free perfectly matched layer formulation for the finite element based solution of the Helmholtz equation
... the condition number of the maple-generated finite-element ...the condition number of the finite-element matrix obtained by actually setting δ PML = ...
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GPU-Accelerated Fundamental Adi-FDTD with Complex Frequency Shifted Convolutional Perfectly Matched Layer
... We further compare the CPU and GPU time of the FADI-FDTD with CFS-CPML, c.f. Table 1. The numerical simulation is performed for 250 iterations at CFLN = 4 in various computation domains. Note that 250 time iterations at ...
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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
... The problem with this approach is that, whenever you have a transition from one material to another, waves generally reflect, and the transition from non-absorbing to absorbing material is no exception so, instead of ...
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Stability of finite difference numerical simulations of acoustic logging-while-drilling with different perfectly matched layer schemes
... We implemented the CFS-PML (Figure 3d) with α 0 = πf c and β 0 = 1. From Figure 3d, we found that CFS- PML can attenuate the refl ected wave from the boundary and remain stable for long simulation time. CFS-PML ...
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Perfectly matched layers in negative index metamaterials and plasmas*
... the Perfectly Matched Layers (PMLs) are a very popular technique to construct artificial boundary conditions which absorb the outgoing ...absorbing layer (the PML) which has the astonishing ...
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Time domain electromagnetic scattering using perfectly matched layers
... variable. Perfectly Matched Layers (PMLs) and an absorbing boundary condition are used to damp waves interacting with artificial boundaries imposed to allow finite compu- tational ...
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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
... the boundary of the computational domain, arising as a consequence of the imposed Dirichlet BCs For the examples mentioned above, we have used the staggered-grid finite-difference scheme de- scribed in Appendix ...
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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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