Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability

Author:

Eriksson Sofia,Nordström Jan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Reference49 articles.

1. Q. Abbas and J. Nordström. Weak versus strong no-slip boundary conditions for the Navier–Stokes equations. ENG APPL COMP FLUID, 4(1):29–38, 2010.

2. X. Antoine, A. Arnold, C. Besse, M. Ehrhardt, and A. Schädle. A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Commun. Comput. Phys., 4(4):729–796, 2008.

3. D. Appelö and T. Hagstrom. A general perfectly matched layer model for hyperbolic-parabolic systems. SIAM J. Sci. Comput., 31(5):3301–3323, 2009.

4. D. Appelö, T. Hagstrom, and G. Kreiss. Perfectly matched layers for hyperbolic systems: General formulation, well-posedness, and stability. SIAM J. Appl. Math., 67(1):1–23, 2006.

5. E. Bécache, D. Givoli, and T. Hagstrom. High-order absorbing boundary conditions for anisotropic and convective wave equations. J. Comput. Phys., 229(4):1099–1129, 2010.

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