Absorbing boundary conditions for the numerical simulation of waves

Mathematics of Computation

Volumn 31, Issue 139, 1977, Pages 629-651

  Engquist, Bjorn ^a   Majda, Andrew ^b  

^a UPPSALA UNIVERSITY   (Sweden)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966208271     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1977-0436612-4     Document Type: Article

References (13)

1. H. O. KREISS, "Initial boundary value problems for hyperbolic systems," Comm. Pure Appl. Math., v. 23, 1970, pp. 277-298.
2. A. MAJDA & S. OSHER, "Reflection of singularities at the boundary," Comm. Pure Appl. Math., v. 28, 1975, pp. 479-499.
3. L. NIRENBERG, Lectures on Linear Partial Differential Equations, C.B.M.S. Regional Conf. Ser. in Math., no. 17, Amer. Math. Soc, Providence, R. I., 1973.
4. M. E. TAYLOR, "Reflection of singularities of solutions to systems of differential equations," Comm. Pure Appl. Math., v. 28, 1975, pp. 457-478.
5. F. J. MASSEY & J. B. RAUCH, "Differentiability of solutions to hyperbolic initialboundary value problems," Trans. Amer. Math. Soc, v. 189, 1974, pp. 303-318. MR 49 #5582
6. DAVID M. BOORE, "Finite difference methods for seismic wave propagation in heterogeneous materials," Methods of Comp. Physics (Seismology), v. 11, 1972, pp. 1—37.
7. K. R. KELLY, R. M. ALFORD, S. TREITEL & R. W. WARD, Applications of Finite Difference Methods to Exploration Seismology, Proc. Roy. Irish Acad. Conf. on Numerical Analysis, Academic Press, London and New York, 1974, pp. 57—76.
8. P. J. ROACHE, Computational Fluid Dynamics, Hermosa Press, Albuquerque, N. M., 1972.
9. T. ELVIUS & A. SUNDSTRÖM, "Computationally efficient schemes and boundary conditions for a fine mesh barotropic model based on the shallow water equations," Tellus, v. 25, 1973, pp. 132-156.
10. E. L. LINDMAN, "Free space boundary conditions for the time dependent wave equation,"J. Computational Phys., v. 18, 1975, pp. 66-78.
11. I. ORLANSKI, "A simple boundary condition for unbounded hyperbolic flows," J. Computational Phys., v. 21, 1976, pp. 251-269.
12. M. E. HANSON & A. G. PETSCHEK, "A boundary condition for sufficiently reducing boundary reflection with a Lagrangian mesh," J. Computational Phys., v. 21, 1976, pp. 333-339.
13. W. D. SMITH, "A nonreflecting plane boundary for wave propagation problems," J. Computational Phys., v. 15, 1974, pp. 492-503.