MSC:
35M20,
35Q30,
35Q35,
45E05,
65M55,
76G25,
76H05,
76M25,
76M40,
76N17,
76N20 | MR 1844270 | Zbl 0980.35132

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artificial boundary and transmission conditions; compressible transonic flow; linearized Euler equations; integral equations with kernels of Cauchy type; potential theory; domain decomposition

References:

[1] C. A. Coclici: **Domain decomposition methods and far-field boundary conditions for two-dimensional compressible flows around airfoils**. Doctoral Thesis, Math. Inst. A, University of Stuttgart, 1998. Zbl 0940.76032

[2] C. A. Coclici, I. L. Sofronov, W. L. Wendland: **Far-field boundary conditions for 2D compressible viscous flows**. In Numerical Modelling in Continuum Mechanics, M. Feistauer et al. (eds.) vol. 1, Matfyzpress Univerzita Karlova Praha, 1997, pp. 212–220.

[3] C. A. Coclici, W. L. Wendland: **Analysis of a heterogeneous domain decomposition for compressible viscous flow**. 4 (2001) (to appear). MR 1832994

[4] D. Colton, R. Kress: **Integral Equation Methods in Scattering Theory**. John Wiley & Sons, New York, 1983. MR 0700400

[5] M. Feistauer: **Mathematical Methods in Fluid Dynamics**. Pitman Monographs and Surveys in Pure and Applied Math., Longman Sci. & Technical, Harlow, 1993. Zbl 0819.76001

[6] M. Feistauer, J. Felcman, M. Lukáčová-Medvidová: **Combined finite element-finite volume solution of compressible flow**. J. Comp. Appl. Math. 63 (1995), 179–199. MR 1365559

[7] M. Feistauer, J. Nečas: **On the solvability of transonic potential flow problems**. Z. Anal. Anw. 4 (1985), 305–329. MR 0807140

[8] L. Ferm: **Open boundary conditions for external flow problems**. J. Comput. Phys. 91 (1990), 55–70. Zbl 0711.76006

[9] F. Gastaldi, A. Quarteroni: **On the coupling of hyperbolic and parabolic systems: analytical and numerical approach**. Appl. Num. Math. 6 (1990), 3–31. MR 1045016

[10] C. Hirsch: **Numerical Computation of Internal and External Flows**. Wiley, Chichester, 1988. Zbl 0662.76001

[11] A. Quarteroni, L. Stolcis: **Homogeneous and heterogeneous domain decomposition for compressible fluid flows at high Reynolds numbers**. Numerical Methods for Fluid Dynamics V, K. W. Morton, M. J. Baines (eds.), Oxford Univ. Press, 1995, pp. 113–128.

[12] V. S. Ryaben’kii, S. V. Tsynkov: **Artificial boundary conditions for the numerical solution of external viscous flow problems**. SIAM J. Numer. Anal. 32 (1995), 1355–1389. MR 1352195

[13] I. L. Sofronov: **Coupling of potential and Euler equations to describe far field in 3D transonic flows**. Book of Abstracts of the 2nd Seminar on Euler and Navier-Stokes Equations held in Prague, 1996, pp. 69–70.

[14] I. L. Sofronov, W. L. Wendland: **Exact linear far-field conditions for three-dimensional aerodynamic stationary transonic flows**. Preprint 99–16, Math. Inst. A, University of Stuttgart (1999). MR 1855901

[15] A. Verhoff, D. Stookesberry, S. Agrawal: **Far-field computational boundary conditions for two-dimensional external flow problems**. AIAA Journal 30 (1992), 2585–2594.