High-order local non-reflecting boundary conditions: a review
D Givoli - Wave motion, 2004 - Elsevier
A common method for numerically solving wave problems in unbounded domains is based
on truncating the infinite domain via an artificial boundary B, thus defining a finite …
on truncating the infinite domain via an artificial boundary B, thus defining a finite …
Review and recent developments on the perfectly matched layer (PML) method for the numerical modeling and simulation of elastic wave propagation in unbounded …
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 …
various formulations developed over the past 25 years for the numerical modeling and …
A class of iterative solvers for the Helmholtz equation: Factorizations, swee** preconditioners, source transfer, single layer potentials, polarized traces, and …
Solving time-harmonic wave propagation problems by iterative methods is a difficult task,
and over the last two decades an important research effort has gone into develo** …
and over the last two decades an important research effort has gone into develo** …
High-order non-reflecting boundary scheme for time-dependent waves
A new non-reflecting boundary scheme is proposed for time-dependent wave problems in
unbounded domains. The linear time-dependent wave equation, with or without a dispersive …
unbounded domains. The linear time-dependent wave equation, with or without a dispersive …
Time‐domain scaled boundary perfectly matched layer for elastic wave propagation
G Zhang, M Zhao, X Du, J Zhang - International Journal for …, 2023 - Wiley Online Library
A novel artificial boundary method called the scaled boundary perfectly matched layer
(SBPML) is proposed for the transient analysis of elastic wave propagation in unbounded …
(SBPML) is proposed for the transient analysis of elastic wave propagation in unbounded …
An automatic perfectly matched layer for acoustic finite element simulations in convex domains of general shape
This article addresses the efficient finite element solution of exterior acoustic problems with
truncated computational domains surrounded by perfectly matched layers (PMLs). The PML …
truncated computational domains surrounded by perfectly matched layers (PMLs). The PML …
Explicit finite element perfectly matched layer for transient three‐dimensional elastic waves
U Basu - International journal for numerical methods in …, 2009 - Wiley Online Library
The use of a perfectly matched layer (PML) model is an efficient approach toward the
bounded‐domain modelling of wave propagation on unbounded domains. This paper …
bounded‐domain modelling of wave propagation on unbounded domains. This paper …
A continued‐fraction‐based high‐order transmitting boundary for wave propagation in unbounded domains of arbitrary geometry
A high‐order local transmitting boundary is developed to model the propagation of elastic
waves in unbounded domains. This transmitting boundary is applicable to scalar and vector …
waves in unbounded domains. This transmitting boundary is applicable to scalar and vector …
Large-scale simulation of seismic wave motion: A review
We review key ingredients that are needed for high-fidelity simulation of earthquake-
generated seismic waves in large regions. Specifically, we survey existing literature on wave …
generated seismic waves in large regions. Specifically, we survey existing literature on wave …
Implementation of the novel perfectly matched layer element for elastodynamic problems in time-domain finite element method
J Chen, Y Shou, X Zhou - Soil Dynamics and Earthquake Engineering, 2022 - Elsevier
For the numerical simulation of infinite domain problems in finite element method (FEM),
unwanted reflection from the artificial boundaries of the model is a limiting factor. Therefore …
unwanted reflection from the artificial boundaries of the model is a limiting factor. Therefore …