Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation

Bradley Alpert; Leslie Greengard; Thomas Hagstrom

doi:10.1006/jcph.2002.7093

Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation

Journal of Computational Physics ◽

10.1006/jcph.2002.7093 ◽

2002 ◽

Vol 180 (1) ◽

pp. 270-296 ◽

Cited By ~ 80

Author(s):

Bradley Alpert ◽

Leslie Greengard ◽

Thomas Hagstrom

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Time Dependent ◽

Nonreflecting Boundary Conditions

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Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139993269266 ◽

1995 ◽

Vol 55 (2) ◽

pp. 280-297 ◽

Cited By ~ 131

Author(s):

Marcus J. Grote ◽

Joseph B. Keller

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Time Dependent ◽

Nonreflecting Boundary Conditions

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Nonreflecting boundary conditions for the time-dependent convective wave equation in a duct

Journal of Computational Physics ◽

10.1016/j.jcp.2003.12.021 ◽

2004 ◽

Vol 197 (2) ◽

pp. 737-758 ◽

Cited By ~ 8

Author(s):

Oliver V. Atassi

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Time Dependent ◽

Nonreflecting Boundary Conditions

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Computation of far-field solutions based on exact nonreflecting boundary conditions for the time-dependent wave equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00178-x ◽

2000 ◽

Vol 190 (11-12) ◽

pp. 1551-1577 ◽

Cited By ~ 11

Author(s):

Lonny L. Thompson ◽

Runnong Huan

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Time Dependent ◽

Far Field ◽

Nonreflecting Boundary Conditions

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Nonreflecting Boundary Conditions for Time-Dependent Scattering

Journal of Computational Physics ◽

10.1006/jcph.1996.0157 ◽

1996 ◽

Vol 127 (1) ◽

pp. 52-65 ◽

Cited By ~ 118

Author(s):

Marcus J. Grote ◽

Joseph B. Keller

Keyword(s):

Boundary Conditions ◽

Time Dependent ◽

Nonreflecting Boundary Conditions

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Nonreflecting Boundary Conditions for Time Dependent Waves

A Celebration of Mathematical Modeling ◽

10.1007/978-94-017-0427-4_5 ◽

2004 ◽

pp. 73-92

Author(s):

Marcus J. Grote

Keyword(s):

Boundary Conditions ◽

Time Dependent ◽

Nonreflecting Boundary Conditions

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Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(20000330)47:9<1569::aid-nme845>3.0.co;2-9 ◽

2000 ◽

Vol 47 (9) ◽

pp. 1569-1603 ◽

Cited By ~ 37

Author(s):

Runnong Huan ◽

Lonny L. Thompson

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Unbounded Domains ◽

Time Dependent ◽

Radiation Boundary Conditions ◽

Radiation Boundary

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Finite element formulation of exact non-reflecting boundary conditions for the time-dependent wave equation

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19990820)45:11<1607::aid-nme645>3.0.co;2-v ◽

1999 ◽

Vol 45 (11) ◽

pp. 1607-1630 ◽

Cited By ~ 16

Author(s):

Lonny L. Thompson ◽

Runnong Huan

Keyword(s):

Finite Element ◽

Wave Equation ◽

Boundary Conditions ◽

Time Dependent ◽

Finite Element Formulation ◽

Element Formulation

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On local nonreflecting boundary conditions for time dependent wave propagation

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-009-0203-5 ◽

2009 ◽

Vol 30 (5) ◽

pp. 589-606 ◽

Cited By ~ 5

Author(s):

Marcus J. Grote ◽

Imbo Sim

Keyword(s):

Wave Propagation ◽

Boundary Conditions ◽

Time Dependent ◽

Nonreflecting Boundary Conditions

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“Free-space” boundary conditions for the time dependent wave equation

Journal of Computational Physics ◽

10.1016/0021-9991(75)90102-3 ◽

1975 ◽

Vol 18 (1) ◽

pp. 66-78 ◽

Cited By ~ 254

Author(s):

E.L. Lindman

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Free Space ◽

Time Dependent ◽

Space Boundary

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Accurate nonreflecting boundary conditions for time‐ dependent acoustic scattering

The Journal of the Acoustical Society of America ◽

10.1121/1.429010 ◽

2000 ◽

Vol 107 (5) ◽

pp. 2799-2799

Author(s):

Lonny L. Thompson ◽

Runnong Huan ◽

Dantong He

Keyword(s):

Boundary Conditions ◽

Acoustic Scattering ◽

Time Dependent ◽

Nonreflecting Boundary Conditions

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