ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION

By I. Harari, M. Slavutin, Eli Turkel. 2000

136 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/16a6faec9863fa62f3ae35fd9ba6df7d82d96290

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

In Ocean Engineering

Citations in the corpus

Comparison of high‐order absorbing boundary conditions and perfectly matched layers in the frequency domain (2010, methodology): “The PML-based code was verified by reproducing the results given in [26] for the benchmark problem considered there.”
Multiscale and Stabilized Methods (2007, background): “The concept of “spectral eddy viscosity,” introduced by Heisenberg (1948), has undergone extensive study in the turbulence literature (see, e.”
Elastic PMLs for resonator anchor loss simulation (2005, background): “While analysing the behaviour of waves propogating through a PML with a constant stretch function can provide useful intuition about the effects of discretization [38, 40], in practice the stretch function is never chosen to be a constant.”
Perfectly matched layers for time-harmonic elastodynamics of unbounded domains : Theory and finite-element implementation (2003, methodology): “This suggests that the mesh density in the PML should be chosen to be similar to that in the bounded domain, echoing conclusions reached by an earlier dispersion analysis [25].”
A survey of finite element methods for time-harmonic acoustics (2006, background): “This latter approach has been extended to timeharmonic acoustics [44], leading to a symmetric formulation that is suitable for finite element computation [45].”
Dirichlet-to-Neumann boundary conditions for multiple scattering problems (2004, methodology): “Numerical examples show that the DtN condition for multiple scattering is as accurate as the well-known DtN condition for single scattering problems [6,7], while being more efficient due to the reduced size of the computational domain.”
A review of finite-element methods for time-harmonic acoustics (2006, background): “…z ), leads to a modiﬁed Helmholtz equation with complex-valued anisotropic material properties suitable for standard ﬁnite element implementation [93, 169, 178], The corresponding weak form in the complete computational region Ω ∪ Ω X is, In the above, s = s 1 s 2 s 3 , and D = diag { s 2 s 3 /s…”