High-order absorbing boundary conditions incorporated in a spectral element formulation

Leonid Kucherov; Dan Givoli

doi:10.1002/cnm.1188

High-order absorbing boundary conditions incorporated in a spectral element formulation

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1188 ◽

2010 ◽

Vol 26 (9) ◽

pp. 1130-1143 ◽

Cited By ~ 10

Author(s):

Leonid Kucherov ◽

Dan Givoli

Keyword(s):

Boundary Conditions ◽

Spectral Element ◽

Absorbing Boundary Conditions ◽

High Order ◽

Element Formulation ◽

Absorbing Boundary

Download Full-text

Finite element formulation with high-order absorbing boundary conditions for time-dependent waves

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2005.01.021 ◽

2006 ◽

Vol 195 (29-32) ◽

pp. 3666-3690 ◽

Cited By ~ 51

Author(s):

Dan Givoli ◽

Thomas Hagstrom ◽

Igor Patlashenko

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

High Order ◽

Time Dependent ◽

Finite Element Formulation ◽

Element Formulation ◽

Absorbing Boundary

Download Full-text

High-order Absorbing Boundary Conditions for anisotropic and convective wave equations

Journal of Computational Physics ◽

10.1016/j.jcp.2009.10.012 ◽

2010 ◽

Vol 229 (4) ◽

pp. 1099-1129 ◽

Cited By ~ 54

Author(s):

Eliane Bécache ◽

Dan Givoli ◽

Thomas Hagstrom

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary

Download Full-text

High order local absorbing boundary conditions for acoustic and elastic scattering

The Journal of the Acoustical Society of America ◽

10.1121/1.5146764 ◽

2020 ◽

Vol 148 (4) ◽

pp. 2451-2451

Author(s):

Vianey Villamizar ◽

Tahsin Khajah ◽

Sebastian Acosta ◽

Dane Grundvig ◽

Jacob Badger ◽

...

Keyword(s):

Elastic Scattering ◽

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary

Download Full-text

High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains

Journal of Computational Mathematics ◽

10.4208/jcm.1004-m3195 ◽

2011 ◽

Vol 29 (1) ◽

pp. 74-90 ◽

Cited By ~ 15

Author(s):

Xiaonan Wu and Jiwei Zhang

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Unbounded Domains ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary

Download Full-text

High-order fully discrete methods for the equations of elastic wave propagation with absorbing boundary conditions

IMA Journal of Numerical Analysis ◽

10.1093/imanum/15.3.377 ◽

1995 ◽

Vol 15 (3) ◽

pp. 377-404 ◽

Cited By ~ 3

Author(s):

CHARALAMBOS G. MAKRIDAKISJ

Keyword(s):

Wave Propagation ◽

Boundary Conditions ◽

Elastic Wave ◽

Absorbing Boundary Conditions ◽

High Order ◽

Elastic Wave Propagation ◽

Absorbing Boundary ◽

Fully Discrete ◽

Discrete Methods ◽

Fully Discrete Methods

Download Full-text

Numerical comparison of high-order absorbing boundary conditions and perfectly matched layers for a dispersive one-dimensional medium

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.10.015 ◽

2012 ◽

Vol 209-212 ◽

pp. 74-86 ◽

Cited By ~ 17

Author(s):

Giovanni Lancioni

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

High Order ◽

Numerical Comparison ◽

Perfectly Matched Layers ◽

Absorbing Boundary ◽

One Dimensional ◽

Matched Layers

Download Full-text

Using Filters to Design Absorbing Boundary Conditions for High-Order CEM

IEEE Transactions on Magnetics ◽

10.1109/tmag.2004.824715 ◽

2004 ◽

Vol 40 (2) ◽

pp. 961-964 ◽

Cited By ~ 4

Author(s):

M.D. White ◽

M.R. Visbal

Keyword(s):

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary

Download Full-text

Domain Decomposition Method and High-Order Absorbing Boundary Conditions for the Numerical Simulation of the Time Dependent Schrödinger Equation with Ionization and Recombination by Intense Electric Field

Journal of Scientific Computing ◽

10.1007/s10915-014-9902-5 ◽

2014 ◽

Vol 64 (3) ◽

pp. 620-646 ◽

Cited By ~ 9

Author(s):

X. Antoine ◽

E. Lorin ◽

A. D. Bandrauk

Keyword(s):

Numerical Simulation ◽

Electric Field ◽

Boundary Conditions ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Absorbing Boundary Conditions ◽

High Order ◽

Time Dependent ◽

Absorbing Boundary

Download Full-text

High order local absorbing boundary conditions for acoustic waves in terms of farfield expansions

Journal of Computational Physics ◽

10.1016/j.jcp.2016.12.048 ◽

2017 ◽

Vol 333 ◽

pp. 331-351 ◽

Cited By ~ 7

Author(s):

Vianey Villamizar ◽

Sebastian Acosta ◽

Blake Dastrup

Keyword(s):

Boundary Conditions ◽

Acoustic Waves ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary

Download Full-text

High‐accuracy absorbing boundary conditions for high‐order parabolic wave equations

The Journal of the Acoustical Society of America ◽

10.1121/1.4785179 ◽

2004 ◽

Vol 116 (4) ◽

pp. 2550-2550

Author(s):

Murthy N. Guddati ◽

A. Homayoun Heidari

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

High Accuracy ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary

Download Full-text