Optimal constraint projection for hyperbolic evolution systems

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 8, 2004, Pages

  Holst, Michael ^a,b   Lindblom, Lee ^a   Owen, Robert ^a   Pfeiffer, Harald P ^a   Scheel, Mark A ^a   Kidder, Lawrence E ^c  

^a University of California at San Diego ^*  (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BLACK HOLE; COSMOLOGICAL PHENOMENA; DYNAMICS; MATHEMATICAL ANALYSIS; SIMULATION; TIME;

EID: 19744382070     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.084017     Document Type: Article

References (45)

1. L. E. Kidder, M. A. Scheel, and S. A. Teukolsky, Phys. Rev. D 64, 064017 (2001).10.1103/PhysRevD.64.064017
2. L. Lindblom and M. A. Scheel, Phys. Rev. D 66, 084014 (2002).10.1103/PhysRevD.66.084014
3. M. A. Scheel, L. E. Kidder, L. Lindblom, H. P. Pfeiffer, and S. A. Teukolsky, Phys. Rev. D 66, 124005 (2002).10.1103/PhysRevD.66.124005
4. M. S. Iriondo and O. A. Reula, Phys. Rev. D 65, 044024 (2002).10.1103/PhysRevD.65.044024
5. B. Szilágyi, B. Schmidt, and J. Winicour, Phys. Rev. D 65, 064015 (2002).10.1103/PhysRevD.65.064015
6. G. Calabrese, L. Lehner, and M. Tiglio, Phys. Rev. D 65, 104031 (2002).10.1103/PhysRevD.65.104031
7. B. Szilágyi and J. Winicour, Phys. Rev. D 68, 041501 (2003).10.1103/PhysRevD.68.041501
8. L. Lindblom, M. A. Scheel, L. E. Kidder, H. P. Pfeiffer, D. Shoemaker, and S. A. Teukolsky, Phys. Rev. D 69, 124025 (2004).10.1103/PhysRevD.69.124025
9. J. M. Stewart, Classical Quantum Gravity 15, 2865 (1998).10.1088/0264-9381/15/9/029
10. H. Friedrich and G. Nagy, Commun. Math. Phys. 201, 619 (1999).10.1007/s002200050571
11. G. Calabrese, J. Pullin, O. Sarbach, M. Tiglio, and O. Reula, Commun. Math. Phys. 240, 377 (2003).
12. S. Frittelli and R. Gomez, Classical Quantum Gravity 20, 2379 (2003).10.1088/0264-9381/20/11/327
13. S. Frittelli and R. Gomez, Phys. Rev. D 68, 044014 (2003).10.1103/PhysRevD.68.044014
14. G. Calabrese and O. Sarbach, J. Math. Phys. (N.Y.) 44, 3888 (2003).10.1063/1.1599056
15. S. Frittelli and R. Gomez, Phys. Rev. D 69, 124020 (2004).10.1103/PhysRevD.69.124020
16. A. M. Alekseenko, gr-qc/0405080.
17. R. F. Stark and T. Piran, Phys. Rev. Lett. 55, 891 (1985).10.1103/PhysRevLett.55.891
18. A. M. Abrahams and C. R. Evans, Phys. Rev. D 46, 4117 (1992).10.1103/PhysRevD.46.R4117
19. M. W. Choptuik, Phys. Rev. Lett. 70, 9 (1993).10.1103/PhysRevLett.70.9
20. A. M. Abrahams and C. R. Evans, Phys. Rev. Lett. 70, 2980 (1993).10.1103/PhysRevLett.70.2980
21. A. M. Abrahams, G. B. Cook, S. L. Shapiro, and S. A. Teukolsky, Phys. Rev. D 49, 5153 (1994).10.1103/PhysRevD.49.5153
22. M. W. Choptuik, E. W. Hirschmann, S. L. Liebling, and F. Pretorius, Classical Quantum Gravity 20, 1857 (2003).10.1088/0264-9381/20/9/318
23. M. W. Choptuik, E. W. Hirschmann, S. L. Liebling, and F. Pretorius, Phys. Rev. D 68, 044007 (2003).10.1103/PhysRevD.68.044007
24. S. Bonazzola, E. Gourgoulhon, P. Grandclement, and J. Novak, gr-qc/0307082.
25. M. Anderson and R. A. Matzner, gr-qc/0307055.
26. E. Schnetter, Ph.D. thesis, Universität Tübingen, 2003, http://w210.ub.uni-tuebingen.de/dbt/volltexte/2003/819/.
27. E. Zeidler, Nonlinear Functional Analysis and its Applications (Springer-Verlag, New York, 1991), Vol. III.
28. C. Lanczos, The Variational Principles of Mechanics (Dover Publications, Inc., New York, 1949).
29. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1989).
30. J. E. Marsden and T. J. R. Hughes, Mathematical Foundations of Elasticity (Dover Publications, New York, 1994).
31. C. W. Gear, IEEE Trans. Circuit Theory CT-18, 89 (1971).
32. B. Leimkuhler and S. Reich, Mathematics of Computation 63, 589 (1994).
33. B. Leimkuhler and R. D. Skeel, J. Comput. Phys. 112, 117 (1994).10.1006/jcph.1994.1085
34. B. Leimkuhler, Symplectic methods for rigid body dynamics, Lecture Notes in Computational Science and Engineering Vol. 4 (Springer-Verlag, Berlin, 1998).
35. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration (Springer-Verlag, Berlin, 2001).
36. R. Temam, Navier-Stokes Equations: Theory and Numerical Analysis (North-Holland, New York, 1977).
37. F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods (Springer-Verlag, New York, 1991).
38. H. P. Pfeiffer, L. E. Kidder, M. A. Scheel, and S. A. Teukolsky, Comput. Phys. Commun. 152, 253 (2003).10.1016/S0010-4655(02)00847-0
39. M. E. Taylor, Partial Differential Equations, (Springer-Verlag, New York, 1996), Vol. III.
40. B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods, (Wiley, New York, 1995).
41. M. A. Scheel, A. L. Erickcek, L. M. Burko, L. E. Kidder, H. P. Pfeiffer, and S. A. Teukolsky, Phys. Rev. D 69, 104006 (2004).10.1103/PhysRevD.69.104006
42. J. Kevorkian, Partial Differential Equations (Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, 1990).
43. M. E. Taylor, Partial Differential Equations, (Springer-Verlag, New York, 1996), Vol. I.
44. L. E. Kidder, M. A. Scheel, S. A. Teukolsky, E. D. Carlson, and G. B. Cook, Phys. Rev. D 62, 084032 (2000).10.1103/PhysRevD.62.084032
45. M. Bjørhus, SIAM J. Sci. Comput. 16, 542 (1995).