Finite element formulation with high-order absorbing boundary conditions for time-dependent waves

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 29-32, 2006, Pages 3666-3690

  Givoli, Dan ^a   Hagstrom, Thomas ^b   Patlashenko, Igor ^c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITY OF NEW MEXICO   (United States)

^c GNSS Technology for Rail Transportation   (United States)

Author keywords

Absorbing boundary condition; Artificial boundary; Auxiliary variables; Finite elements; Higdon; High order; Waves

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; FINITE DIFFERENCE METHOD; PROBLEM SOLVING; WAVES;

ABSORBING BOUNDARY CONDITIONS (ABCS); AUXILIARY VARIABLES; FINITE ELEMENT FORMULATION; HAGSTROM-WARBURTON FINITE ELEMENT SCHEME; HIGDON ABCS; HIGH-ORDER FORM; TIME-DEPENDENT WAVES;

FINITE ELEMENT METHOD;

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; PROBLEM SOLVING; WAVES;

EID: 33645910867     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.01.021     Document Type: Article

References (17)

1. Hagstrom T. Radiation boundary conditions for the numerical simulation of waves. Acta Numer. 8 (1999) 47-106
2. Bérenger J.P. A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114 (1994) 185-200
3. Givoli D. Non-reflecting boundary conditions: a review. J. Comput. Phys. 94 (1991) 1-29
4. Collino F. High order absorbing boundary conditions for wave propagation models. straight line boundary and corner cases. In: Kleinman R., et al. (Ed). Proceedings of 2nd International Conference on Mathematical & Numerical Aspects of Wave Propagation (1993), SIAM, Delaware 161-171
5. Givoli D. High-order local non-reflecting boundary conditions: a review. Wave Motion 39 (2004) 319-326
6. Givoli D., and Neta B. High-order non-reflecting boundary scheme for time-dependent waves. J. Comput. Phys. 186 (2003) 24-46
7. Higdon R.L. Numerical absorbing boundary conditions for the wave equation. Math. Comput. 49 (1987) 65-90
8. Higdon R.L. Radiation boundary conditions for dispersive waves. SIAM J. Numer. Anal. 31 (1994) 64-100
9. Givoli D., Neta B., and Patlashenko I. Finite element solution of exterior time-dependent wave problems with high-order boundary treatment. Int. J. Numer. Meth. Engrg. 58 (2003) 1955-1983
10. Hagstrom T., and Warburton T. A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first order systems. Wave Motion 39 (2004) 327-338
11. Engquist B., and Majda A. Radiation boundary conditions for acoustic and elastic calculations. Commun. Pure Appl. Math. 32 (1979) 313-357
12. Bamberger A., Joly P., and Roberts J.E. Second-order absorbing boundary conditions for the wave equation: a solution for the corner problem. SIAM J. Numer. Anal. 27 (1990) 323-352
13. Vacus O. Mathematical analysis of absorbing boundary conditions for the wave equation: the corner problem. Math. Comput. 74 (2005) 177-200
14. Hughes T.J.R. The Finite Element Method (1987), Prentice Hall, Englewood Cliffs, NJ
15. Givoli D., and Patlashenko I. An optimal high-order non-reflecting finite element scheme for wave scattering problems. Int. J. Numer. Meth. Engrg. 53 (2002) 2389-2411
16. Hagstrom T. On high-order radiation boundary conditions. In: Engquist B., and Kriegsmann G. (Eds). Computational Wave Propagation (1997), Springer 1-22
17. Diaz J., and Joly P. An analysis of higher order boundary conditions for the wave equations. SIAM J. Appl. Math. 65 (2005) 1547-1575