Exact boundary conditions for scattering problems

Journal of the Acoustical Society of America

Volumn 80, Issue 6, 1986, Pages 1825-1827

  Ting, Lu ^a   Miksis, Michael J ^b  

^a NEW YORK UNIVERSITY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001700219     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.394297     Document Type: Article

References (8)

1. G. Kriegsmann and C. Morawetz, “Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction: I, ” SIAM J. Sci. Stat. Comput. 1, 371–385 (1980).
2. B. Engquist and A. Majda, “Absorbing Boundary Conditions for the Numerical Simulation of Waves, ” Math. Comp. 31, 629–652 (1977).
3. A. Bayliss and E. Turkel, “Radiation Boundary Conditions for Wave Like Equations, ” Comm. Pure Appl. Math. 23, 707–725 (1980).
4. G. Kriegsmann, “Radiation Conditions for Wave Guide Problems, ” SIAM J. Sci. Stat. Comput. 3, 318–326 (1982).
5. E. L. Lindman, “ Free Space Boundary Conditions for the Time Dependent Wave Equation, ” J. Comp. Phys. 18, 66–78 (1975).
6. G. Mur, “Absorbing Boundary Conditions for the Finite Difference Approximation of the Time Domain Electromagnetic Field Equations, ” IEEE Trans. Electromagn. Compat. EMC-23, 377–382 (1981).
7. K. Feng, “Finite Element Method and Natural Boundary Reduction, ” Proceedings of the International Congress of Mathematicians, Warsaw, Poland (1983).
8. B. B. Baker and E. T. Copson, The Mathematical Theory of Huygen's Principle (Oxford, Great Britain, 1939), p. 37.