Constraint-preserving boundary conditions in numerical relativity

Physical Review D

Volumn 65, Issue 10, 2002, Pages

  Calabrese, Gioel ^a,b   Lehner, Luis ^c   Tiglio, Manuel ^a,b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; CALCULATION; MATHEMATICAL COMPUTING; PHYSICS; SIMULATION; VACUUM;

EID: 85038308182     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.65.104031     Document Type: Article

References (42)

1. L. Lehner, Class. Quantum Grav. 18, R25 (2001).
2. M.W. Choptuik, Phys. Rev. D 44, 3124 (1991).
3. R.L. Marsa and M.W. Choptuik, Phys. Rev. D 54, 4929 (1996);
4. E.P. Honda and M.W. Choptuik Phys. Rev. D ibid. 65, 084037 (2002);
5. M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995);
6. R. Gomez, in Proceedings of the Binary Black Hole Workshop, edited by R. Matzner, Los Alamos, NM, 1997.
7. H. Friedrich and A. Rendall, in Einstein's Field Equations and their Physical Implications, Lecture Notes in Physics, edited by B. G. Schmidt (Springer-Verlag, Berlin, 2000), pp. 127 223;
8. O. Reula, Living Rev. Relativ, 1, 3 (1998).
9. H. Friedrich and G. Nagy, Commun. Math. Phys. 204, 691 (1999).
10. J. Bardeen and L. Buchman, Phys. Rev. D 65, 064037 (2002);
11. B. Szilagyi, B. Schmidt, and J. Winicour, Phys. Rev. D ibid. 65, 064015 (2002);
12. M. Iriondo and O. Reula, Phys. Rev. D ibid. 65, 044024 (2002);
13. B. Szilagyi, R. Gomez, N.T. Bishop, and J. Winicour, Phys. Rev. D ibid. 62, 104006 (2000);
14. R. Matzner, in Colliding Black Holes: Mathematical Issues in Numerical Relativity, edited by D. Eardley, Santa Barbara, 2000, http://online.itp.ucsb. edu/online/numrel00/;
15. L. Rezzolla et al., Phys. Rev. D 59, 064001 (1999);
16. M.E. Rupright et al., Phys. Rev. D ibid. 58, 044005 (1998);
17. A.M. Abrahams et al., Phys. Rev. Lett. 80, 2512 (1998);
18. J.M. Stewart, Class. Quantum Grav. 15, 2865 (1998).
19. S. Frittelli, Phys. Rev. D 55, 5992 (1997).
20. G. Gook, Living Rev. Relativ. 3, 5 (2000).
21. B. Gustaffson, H. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).
22. G. Calabrese et al. (in preparation).
23. J. Thornburg, Class. Quantum Grav. 14, 1119 (1987).
24. A. Anderson and J.W. York, Jr., Phys. Rev. Lett. 82, 4384 (1999).
25. S. Frittelli and O.A. Reula, J. Math. Phys. 40, 5143 (1999).
26. L.E. Kidder, M.A. Scheel, and S.A. Teukolsky, Phys. Rev. D 64, 064017 (2001).
27. L.E. Kidder, M.A. Scheel, S.A. Teukolsky, E.D. Carlson, and G.B. Cook, Phys. Rev. D 62, 084032 (2000).
28. E. Seidel and W.M. Suen, Phys. Rev. Lett. 69, 1845 (1992);
29. M. Alcubierre and B. Schutz, J. Comput. Phys. 112, 44 (1994);
30. C. Gundlach and P. Walker, Class. Quantum Grav. 16, 991 (1999);
31. M. Scheel et al., Phys. Rev. D 56, 6320 (1997);
32. L. Lehner, M. Huq, and D. Garrison, Phys. Rev. D ibid. 62, 084016 (2000).
33. H. Kreiss and J. Oliger, Methods for the Approximate Solution of Time Independent Problems (GARP Publication Series, Geneva, 1973).
34. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, New York, 1973).
35. O. Sarbach and M. Tiglio, Phys. Rev. D 64, 084016 (2001).
36. M. Iriondo and O. Reula, Phys. Rev. D 65, 044024 (2002).
37. C. Gundlach, R.H. Price, and J. Pullin, Phys. Rev. D 49, 883 (1994) ;
38. C. Gundlach, R.H. Price, and J. Pullin, Phys. Rev. D 49, 890 (1994);
39. E. Ching, P. Leung, W.M. Suen, and K. Young, Phys. Rev. Lett. 74, 2414 (1995).
40. E. Flanagan and S.A. Hughes, Phys. Rev. D 57, 4566 (1998);
41. E. Flanagan and S.A. Hughes, Phys. Rev. D 57, 4535 (1998).
42. B. Kelly et al., Phys. Rev. D 64, 084013 (2001).