Review and recent developments on the perfectly matched layer (PML) method for the numerical modeling and simulation of elastic wave propagation in unbounded …

F Pled, C Desceliers - Archives of Computational Methods in Engineering, 2022 - Springer
This review article revisits and outlines the perfectly matched layer (PML) method and its
various formulations developed over the past 25 years for the numerical modeling and …

Optimizing perfectly matched layers in discrete contexts

A Modave, E Delhez, C Geuzaine - International Journal for …, 2014 - Wiley Online Library
Perfectly matched layers (PMLs) are widely used for the numerical simulation of wave‐like
problems defined on large or infinite spatial domains. However, for both time‐dependent …

Consistent transmitting boundary with continued-fraction absorbing boundary conditions for analysis of soil–structure interaction in a layered half-space

JH Lee, JL Tassoulas - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
A continued-fraction absorbing boundary condition (CFABC) is combined with a consistent
transmitting boundary and applied to an analysis of soil–structure interaction in a layered …

Revisiting infinite mapping layer for open domain problems

S Schoder, F Toth, C Freidhager… - Journal of Computational …, 2019 - Elsevier
We revisit and investigate the application of an infinite mapping layer in the context of
different physical fields. This layer remaps the infinite physical domain to a finite extension …

Perfectly matched transmission problem with absorbing layers: Application to anisotropic acoustics in convex polygonal domains

E Demaldent, S Imperiale - International Journal for Numerical …, 2013 - Wiley Online Library
This paper presents an original approach to design perfectly matched layers for anisotropic
scalar wave equations. This approach is based, first, on the introduction of a modified wave …

Nonlinear analysis of soil–structure interaction using perfectly matched discrete layers

JH Lee, JK Kim, JH Kim - Computers & Structures, 2014 - Elsevier
When nonlinear behaviors of soil are important in a soil–structure interaction system,
radiation of energy into the infinity of the soil as well as the nonlinearity must be considered …

Application of M-PML reflectionless boundary conditions to the numerical simulation of wave propagation in anisotropic media. Part I: Reflectivity

MN Dmitriev, VV Lisitsa - Numerical analysis and Applications, 2011 - Springer
This paper presents a detailed study of the construction of reflectionless boundary
conditions for anisotropic elastic problems. A Multiaxial Perfectly Matched Layer (M-PML) …

On perfectly matched layers for discontinuous Petrov–Galerkin methods

A Vaziri Astaneh, B Keith, L Demkowicz - Computational Mechanics, 2019 - Springer
In this article, several discontinuous Petrov–Galerkin (DPG) methods with perfectly matched
layers (PMLs) are derived along with their quasi-optimal graph test norms. Ultimately, two …

Absorbing boundary conditions for scalar waves in anisotropic media. Part 1: Time harmonic modeling

S Savadatti, MN Guddati - Journal of Computational Physics, 2010 - Elsevier
With the ultimate goal of devising effective absorbing boundary conditions (ABCs) for
general anisotropic media, we investigate the accuracy aspects of local ABCs designed for …

A Krylov stability-corrected coordinate-stretching method to simulate wave propagation in unbounded domains

V Druskin, R Remis - SIAM Journal on Scientific Computing, 2013 - SIAM
The Krylov subspace projection approach is a well-established tool for the reduced-order
modeling of dynamical systems in the time domain. In this paper, we address the main …