High-order local non-reflecting boundary conditions: a review☆

By Dan Givoli. 2004

544 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/90266411678b9ab04024cb1214fbdc5a0c609cc1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Chongmin Song
2. Dan Givoli
3. Beny Neta
4. L. Thompson
5. I. Harari
6. David S. Bindel
7. Sanjay Govindjee
8. Jean-Pierre Vilotte

In Electrical and Electronic Engineering

1. Chongmin Song
2. Dan Givoli
3. Beny Neta
4. Francis Tin-Loi
5. I. Harari
6. L. Thompson
7. Gao Lin
8. David S. Bindel

In Mechanics of Materials

1. Francis Tin-Loi
2. Chongmin Song
3. Beny Neta
4. Dan Givoli
5. I. Harari
6. L. Thompson
7. Gao Lin
8. Jean-Pierre Vilotte

Citations in the corpus

• Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: Application to harbor agitation (2015, unknown): “Among others, they include infinite elements [31], local non-reflecting boundary conditions (NRBC) [32], Dirichlet to Neumann non-local operators [33, 34] and perfectly matched layers (PML) [35].”
• The Newmark scheme as velocity–stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics (2005, background): “A review of ABCs can be found in Givoli (1991) and more recently in Tsynkov (1998).”
• A survey of finite element methods for time-harmonic acoustics (2006, background): “The development of high-order local boundary conditions for which the order can be easily increased to a desired level is relatively recent (see the review [29] and references therein).”
• High‐order doubly asymptotic open boundaries for scalar wave equation (2009, background): “Excellent literature reviews are available in papers [1–6] and books [7–10].”
• Elastic PMLs for resonator anchor loss simulation (2005, background): “Higher-order versions perform better but require special finite element architectures [27].”
• A review of finite-element methods for time-harmonic acoustics (2006, background): “The development of high-order local boundary conditions for which the order can be easily increased to a desired level are usually based on using auxiliary variables to eliminate higher-order derivatives [74, 84, 85, 96, 167, 172].”
• High-order non-reflecting boundary scheme for time-dependent waves (2003, background): “This boundary condition is called a NRBC, although a few other names are often used too [2].”