Review and Recent Developments on the Perfectly Matched Layer (PML) Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains-Reference-Cited by-同舟云学术

Review and Recent Developments on the Perfectly Matched Layer (PML) Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains

Published:2021-04-11 Issue:1 Volume:29 Page:471-518
ISSN:1134-3060
Container-title:Archives of Computational Methods in Engineering
language:en
Short-container-title:Arch Computat Methods Eng

Author:

Pled Florent^ORCID,Desceliers Christophe

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s11831-021-09581-y.pdf

Reference364 articles.

1. Abarbanel S, Gottlieb D (1997) A mathematical analysis of the PML method. J Comput Phys 134(2):357–363. https://doi.org/10.1006/jcph.1997.5717

2. Abarbanel S, Gottlieb D (1998) On the construction and analysis of absorbing layers in CEM. Appl Numer Math 27(4):331–340 (Special Issue on Absorbing Boundary Conditions). https://doi.org/10.1016/S0168-9274(98)00018-X

3. Abarbanel S, Gottlieb D, Hesthaven J (1999) Well-posed perfectly matched layers for advective acoustics. J Comput Phys 154(2):266–283. https://doi.org/10.1006/jcph.1999.6313

4. Abarbanel S, Gottlieb D, Hesthaven JS (2002) Long time behavior of the perfectly matched layer equations in computational electromagnetics. J Sci Comput 17(1):405–422. https://doi.org/10.1023/A:1015141823608

5. Abarbanel S, Gottlieb D, Hesthaven JS (2006) Non-linear PML equations for time dependent electromagnetics in three dimensions. J Sci Comput 28(2):125–137. https://doi.org/10.1007/s10915-006-9072-1

Cited by 36 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the coupling between finite elements and integral representation for linear elastic waves scattering problems: Analysis and simulation;Computers & Mathematics with Applications;2024-12

2. Three-dimensional fundamental solution for dynamic responses of a layered transversely isotropic saturated half-space using coupled thin-layer and complex frequency shifted perfectly matched layer method;Engineering Analysis with Boundary Elements;2024-09

3. Wave propagation in three-dimensional fractional viscoelastic infinite solid body;Physica D: Nonlinear Phenomena;2024-08

4. Penalty Sponge Layers (PSL) for hyperbolic systems. General formulation, well-posedness and stability;Journal of Computational Physics;2024-08

5. Improved near-field PML absorbing functions for exterior three-dimensional Helmholtz problems;Computer Methods in Applied Mechanics and Engineering;2024-08