Nonreflecting boundary conditions for time-dependent scattering

Journal of Computational Physics

Volumn 127, Issue 1, 1996, Pages 52-65

  Grote, Marcus J ^a   Keller, Joseph B ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; NUMERICAL METHODS;

FINITE-DIFFERENCE METHODS; NON REFLECTING BOUNDARY CONDITION; NUMERICAL COMPUTATIONS; STABILITY ISSUES; THREE SPACE DIMENSIONS; TIME DEPENDENT SCATTERING; TIME-DEPENDENT WAVE EQUATIONS;

FINITE DIFFERENCE METHOD;

EID: 0030209904     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0157     Document Type: Article

References (11)

1. 1. M. J. Grote and J. B. Keller, SIAM J. Appl. Math. 55(2), 280 (1995).
2. 2. T. J. R. Hughes, The Finite Element Method, (Prentice-Hall, Englewood Cliffs, NJ, 1987).
3. 3. N. M. Newmark, J. Eng. Mech. Div. ASCE, 67 1959.
4. 4. E. Hairer, S. P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations I (Springer-Verlag, New York/Berlin, 1987).
5. 5. M. J. Grote and J. B. Keller, J. Comput. Phys. 122, 231 (1995).
6. 6. A. Bayliss and E. Turkel, Commun. Pure Appl. Math. 33, 707 (1980).
7. 7. L. L. Thompson and P. M. Pinsky, "New Space-Time Finite Element Methods for Fluid-Structure Interactions in Exterior Domains", in Comput. Methods Fluid/Structure Interaction, AMD, Vol. 178 (Am. Soc. Mech. Eng., New York, 1993), p. 101.
8. 8. E. Zauderer, Partial Differential Equations of Applied Mathematics, 2nd ed. (Wiley-Interscience, New York, (1989).
9. 9. L. Ting and M. J. Miksis, J. Acoust. Soc. Am. 80(6), 1825 (1986).
10. 10. D. Givoli and D. Cohen, J. Comput. Phys. 117, 102 (1995).
11. 11. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. II (McGraw-Hill, New York, 1953).