Accurate finite difference representation of neumann boundary data for time-harmonic wave propagation

Journal of Computational Acoustics

Volumn 4, Issue 4, 1996, Pages 425-432

  Harari, Isaac ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030300472     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X96000167     Document Type: Article

References (8)

1. I. Harari and E. Turkel, "Accurate finite difference methods for time-harmonic wave propagation," J. Comput. Phys., 119 (1995), 252-270.
2. L. Collatz, The Numerical Treatment of Differential Equations, 3rd ed. (Springer-Verlag, Berlin, 1960).
3. R. E. Mickens, "Construction of stable explicit finite-difference schemes for Schrödinger type differential equations," Comput. Acou. 1 (1990), 11-16.
4. 6) finite difference approximations to the Helmholtz equation in n dimensions," Advances in Computer Methods for Partial Differential Equations, Vol. V, eds. R. Vichnevetsky and R. S. Stepleman (IMACS, New Brunswick, NJ, 1984), pp. 199-202.
5. K. Grosh and P. M. Pinsky, "Complex wave-number dispersion analysis of Galerkin and Galerkin least squares methods for fluid-loaded plates," Comput. Methods Appl. Mech. Engrg. 113 (1994), 67-98.
6. I. Harari and T. J. R. Hughes, "Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains," Comput. Methods Appl. Mech. Engrg. 98 (1992), 411-454.
7. L. L. Thompson and P. M. Pinsky, "A Galerkin least squares finite element method for the two-dimensional Helmholtz equation," Int. J. Numer. Methods Engrg. 38 (1995), 371-397.
8. B. Gustafsson, "The convergence rate for difference approximation to general mixed initial boundary value problems," SIAM J. Numer. Anal. 18 (1981), 179-190.