Bayliss, Alvin; Turkel, Eli Radiation boundary conditions for wave-like equations. (English) Zbl 0438.35043 Commun. Pure Appl. Math. 33, 707-725 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 211 Documents MSC: 35L05 Wave equation 35L99 Hyperbolic equations and hyperbolic systems 35B40 Asymptotic behavior of solutions to PDEs 35C20 Asymptotic expansions of solutions to PDEs Keywords:family of boundary conditions; hyperbolic equations; wave-like solutions at infinity; asymptotic expansion; numerical results PDF BibTeX XML Cite \textit{A. Bayliss} and \textit{E. Turkel}, Commun. Pure Appl. Math. 33, 707--725 (1980; Zbl 0438.35043) Full Text: DOI References: [1] and , Radiation conditions for wave-like equations, ICASE Report No. 79–26, October 1979. [2] , and , Boundary conditions for the numerical solution of elliptic equations in exterior regions. ICASE Report, 1979. [3] Bayliss, Outflow boundary conditions for fluid dynamics · Zbl 0509.76035 [4] Engquist, Math. Comput. 31 pp 629– (1977) [5] Engquist, Comm. Pure Appl. Math. 32 pp 312– (1979) [6] Fix, J. Comp. Phys. 28 pp 253– (1978) [7] Friedlander, Proc. Roy. Soc. London Ser. A 269 pp 53– (1962) [8] Gottlieb, Math. Comput. 30 pp 703– (1976) [9] Grosch, J. Comp. Phys. 25 pp 273– (1977) [10] Gustafsson, Math. Comput. 29 pp 396– (1975) [11] Gustafsson, J. Comp. Phys. 30 pp 333– (1979) [12] Karp, Comm. Pure Appl. Math. 14 pp 427– (1961) [13] Kreiss, Comm. Pure Appl. Math. 23 pp 277– (1970) [14] Kriegsman, J. Comp. Phys. 28 pp 181– (1978) [15] Lighthill, Proc. Roy. Society London Ser. A 267 pp 147– (1962) [16] Maestrello, J. Acoust. Soc. Amer. (1978) [17] A finite element method for problems involving the Helmholtz equation in two-dimensional exterior regions, Ph. D. thesis, Department of Mathematics, Carnegie-Mellon University, 1978. [18] and , Theoretical Acoustics, McGraw-Hill, New York, 1968. [19] Orlianski, J. Comp. Phys. 21 pp 251– (1976) [20] and , Boundary conditions for subsonic compressible Navier–Stokes calculations, ICASE Report No. 79–18. 1979. [21] Wilcox, Proc. Amer. Math. Soc. 7 pp 271– (1955) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.