Nonreflecting boundary conditions for the time-dependent wave equation

Journal of Computational Physics

Volumn 180, Issue 1, 2002, Pages 270-296

  Alpert, Bradley ^a   Greengard, Leslie ^b   Hagstrom, Thomas ^c  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b NEW YORK UNIVERSITY   (United States)

^c UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; WAVE EQUATIONS;

ADDITIONAL COSTS; FINITE DIFFERENCE SCHEME; NON REFLECTING BOUNDARY CONDITION; NUMERICAL EXPERIMENTS; PERFORMANCE; SCALAR-WAVE EQUATIONS; TIME-DEPENDENT WAVE EQUATIONS;

BOUNDARY CONDITIONS;

EID: 0037142938     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7093     Document Type: Article

References (42)

1. Quantitative nondestructive evaluation
2. Hybrid Gauss-trapezoidal quadrature rules
3. Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation
4. An integral evolution formula for the wave equation
5. Radiation boundary conditions for wave-like equations
6. Perfectly matched layer for the FDTD solution of wavestructure interaction problems
7. A perfectly matched layer for the absorption of electromagnetic waves
8. The perfectly matched layer in curvilinear coordinates
9. Inverse problems in ocean acoustics
10. Absorbing boundary conditions for the numerical simulation of waves
11. Multipole translation theory for three-dimensional Laplace and Helmholtz equations
12. Fast evaluation of three-dimensional transient wave fields using diagonal translation operators
13. Electromagnetic absorption in the human head and neck for mobile telephones at 835 and 1900 MHz
14. Nonreflecting boundary conditions
15. Accelerating fast multipole methods for low frequency scattering
16. A review of global modeling of charge transport in semiconductors and full-wave electromagnetics
17. Nonreflecting boundary conditions for time dependent scattering
18. Description of a Global Shallow Water Model Based on the Spectral Transform Method, Technical Note TN-343 + STR
19. Accurate boundary treatments for Maxwell's equations and their computational complexity
20. On the accurate long-time solution of the wave equation in exterior domains: Asymptotic expansions and corrected boundary conditions
21. On high-order radiation boundary conditions
22. Radiation boundary conditions for the numerical simulation of waves
23. Experiments with stable, high-order difference approximations to hyperbolic initial-boundary value problems
24. Fast inhomogeneous plane wave algorithm for the fast analysis of two-dimensional scattering problems
25. A fast transform for spherical harmonics
26. Approximation of radiation boundary conditions
27. Wave-propagation theory and synthetic seismograms
28. Fast convolution for non-reflecting boundary conditions
29. A general-purpose Maxwell solver for the extraction of equivalent-circuits of electronic package components for circuit simulation
30. Integral equations and discretizations for waveguide apertures
31. A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
32. Reflectionless sponge layers as absorbing boundary conditions for the numerical solution of Maxwell's equations in rectangular, cylindrical and spherical coordinates
33. Diagonal forms of translation operators for the Helmholtz equation in three dimensions
34. Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation
35. Selective survey of the finitedifference time-domain literature
36. Conditions for complete transparency on the sphere for the three-dimensional wave equation
37. Artificial boundary conditions of absolute transparency for two- and three-dimensional external time-dependent scattering problems
38. Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering
39. Exact boundary conditions for scattering problems