A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
A mathematical analysis of the PML method
Journal of Computational Physics
On the construction and analysis of absorbing layers in CEM
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Numerical solution of problems on unbounded domains. a review
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics
Journal of Scientific Computing
Lacunae based stabilization of PMLs
Journal of Computational Physics
Lacunae based stabilization of PMLs
Journal of Computational Physics
Journal of Computational Physics
Efficient and stable perfectly matched layer for CEM
Applied Numerical Mathematics
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A gradual long-time growth of the solution in perfectly matched layers (PMLs) has been previously reported in the literature. This undesirable phenomenon may hamper the performance of the layer, which is designed to truncate the computational domain for unsteady wave propagation problems. For unsplit PMLs, prior studies have attributed the growth to the presence of multiple eigenvalues in the amplification matrix of the governing system of differential equations. In the current paper, we analyze the temporal behavior of unsplit PMLs for some commonly used second order explicit finite-difference schemes that approximate the Maxwell's equations. Our conclusion is that on top of having the PML as a potential source of long-time growth, the type of the layer and the choice of the scheme play a major role in how rapidly this growth may manifest itself and whether or not it manifests itself at all.