Implementation of local, high-order accurate boundary conditions for time-dependent acoustic scattering

American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA

Volumn 27, Issue , 2000, Pages 27-35

  Thompson, Lonny L ^a   He, Dantong ^a   Huan, Runnong ^a  

^a AMRL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039335137     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (10)

1. T. Hagstrom and S. Hariharan, 'A formulation of asymptotic and exact boundary conditions using local operators', Appl. Num. Math. 27, 403-416, 1998.
2. A. Bayliss and E. Turkel, 'Radiation boundary conditions for wave-like equations', Commun. Pure Appl. Math., 33, 707-725, 1980.
3. M. J. Grote and J. B. Keller, 'Exact non-reflecting boundary conditions for the time dependent wave equation', SIAM J. of Appl. Math., 55 (1995), pp. 280-297.
4. L. L. Thompson and R. Huan, 'Implementation of Exact Non-Reflecting Boundary Conditions in the Finite Element Method for the Time-Dependent Wave Equation', Computer Methods in Applied Mechanics and Engineering, 187, 1-2 (2000) pp. 137-159.
5. R. Huan and L.L. Thompson, 'Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains', I. J. for Numerical Methods in Engineering, 47, pp. 1569-1603, (2000).
6. L.L. Thompson and R. Huan and D. He, 'Accurate radiation boundary conditions for the two-dimensional wave equation on unbounded domains', Computer Methods in Applied Mechanics and Engineering, Accepted in principle with revision.
7. L.L. Thompson and R. Huan, 'Asymptotic and Exact Radiation Boundary Conditions for Time-Dependent Scattering', Proceedings of the ASME Noise Control and Acoustics Division - 1999 ASME 1999 International Mechanical Engineering Congress and Exposition, NCA-Vol. 26, Symposium on Computational Acoustics, pp. 511-521, Nashville, TN, Nov. 14-19, 1999.
8. Thompson, L.L., and Pinsky, P.M., 'Complex wavenumber Fourier analysis of the p-version finite element method', Journal of Computational Mechanics, 13, (4), pp. 255-275, 1994.
9. P.M. Morse and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, 1953.
10. M. Abramowitz and I. Stegun, Eds., Handbook of Mathematical Functions, Washington, DC: National Bureau of Standards, 1964. Reprinted by Dover Publications, New York, 1968, pp. 751-770.