Steady state computations for wave propagation problems
Authors:
Björn Engquist and Bertil Gustafsson
Journal:
Math. Comp. 49 (1987), 3964
MSC:
Primary 65M10; Secondary 7608
MathSciNet review:
890253
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Abstract: The behavior of difference approximations of hyperbolic partial differential equations as time is studied. The rate of convergence to steady state is analyzed theoretically and expe imentally for the advection equation and the linearized Euler equations. The choice of difference formulas and boundary conditions strongly influences the rate of convergence in practical steady state calculations. In particular it is shown that upwind difference methods and characteristic boundary conditions have very attractive convergence properties.
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 C. S. Morawetz, "The decay of solutions of the exterior initialboundary value problem for the wave equation," Comm. Pure Appl. Math., v. 14, 1961, pp. 561568. MR 0132908 (24:A2744)
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 C. S. Morawetz, "Decay of solutions of the exterior problem for the wave equation," Comm. Pure Appl. Math., v. 28, 1975, pp. 229264. MR 0372432 (51:8641)
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 C. S. Morawetz, J. V. Ralston & W. A. Strauss, "Decay of solutions of the wave equation outside nontrapping obstacles," Comm. Pure Appl. Math., v. 30, 1977, pp. 447508. MR 0509770 (58:23091a)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571819870890253X
PII:
S 00255718(1987)0890253X
Article copyright:
© Copyright 1987
American Mathematical Society
