Transparent boundary conditions for wave propagation on unbounded domains

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2659, Issue , 2003, Pages 807-816

  Ionescu, Dorin Cezar ^a   Igel, Heiner ^b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; FINITE DIFFERENCE METHOD; NUMERICAL METHODS; WAVE EQUATIONS; WAVE PROPAGATION;

ARTIFICIAL BOUNDARIES; EXACT TRANSPARENT BOUNDARY CONDITION; EXPLICIT METHOD; NUMERICAL SOLUTION; SPATIAL DIMENSION; TIME-DEPENDENT WAVE EQUATIONS; TRANSPARENT BOUNDARY CONDITIONS; UNBOUNDED DOMAIN;

BOUNDARY CONDITIONS;

EID: 35248860160     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44863-2_79     Document Type: Article

References (13)

1. Tsynkov, S.V.: Appl. Num. Math. 27, 465 (1998).
2. Clayton, R.W. and Engquist, B.: Bull. Sci. Soc. Am. 67, 1529 (1977).
3. Engquist, B. and Majda, A.: Commun. Pure Appl. Math. 32, 313 (1979).
4. Higdon, R.L.: SIAM J. Num. Anal. 27, 831 (1990).
5. Israeli, M. and Orszag, S.A.: J. Comput. Phys. 41, 115 (1981).
6. Ionescu, D.C. and Belkacem, A.: Eur. Phys. Journal D 18, 301 (2002);
7. see also Phys. Scripta T80, 128 (1999).
8. Givoli, D. and Cohen, D.: J. Comput. Phys. 117, 102 (1995).
9. Grote, M.J. and Keller, J.B.: SIAM J. Appl. Math. 55, 280 (1995);
10. and SIAM J. Appl. Math. 60, 803 (2000);
11. see also J. Comput. Phys. 139, 327 (1998).
12. Thompson, L. and Huan, R.: submitted to Comp. Meth. Appl. Mech. Eng. (2003).
13. Abramowitz, M. and Stegun, I.A.: Handbook of Mathematical Functions (Harri Deutsch, Thun, Frankfurt am Main, 1984).