BSSN in curvilinear coordinate and stability of long term evolution
[+]Towards a stable numerical evolution of strongly gravitating systems in general relativity: The Conformal treatments
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann, Thomas Dramlitsch (Potsdam, Max Planck Inst.) , Jose A. Font (Garching, Max Planck Inst.) , Philippos Papadopoulos (Portsmouth U.) , Edward Seidel (Potsdam, Max Planck Inst. & Illinois U., Beckman Inst.) , Nikolaos Stergioulas (Potsdam, Max Planck Inst. & Thessaloniki U.) , Wai-Mo Suen (Washington U., St. Louis & Hong Kong, Chinese U.) , Ryoji Takahashi (Potsdam, Max Planck Inst.)
- Phys.Rev. D62 (2000) 044034
- DOI: 10.1103/PhysRevD.62.044034
- e-Print: gr-qc/0003071 | PDF
[+]General covariant constraint free evolution system for numerical relativity
C. Bona (Balearic Islands U.) , T. Ledvinka (Charles U.) , C. Palenzuela (Balearic Islands U.) , M. Zacek (Charles U.)
- e-Print: gr-qc/0209082 | PDF
[+]The BSSN formulation is a partially constrained evolution system
Adrian P. Gentle (Southern Indiana U.)
- Int.J.Mod.Phys. D19 (2010) 153-158
- DOI: 10.1142/S0218271810016312
- e-Print: arXiv:0707.0339 [gr-qc] | PDF
[+]Collapse of Nonlinear Gravitational Waves in Moving-Puncture Coordinates
David Hilditch (Jena U.) , Thomas W. Baumgarte (Garching, Max Planck Inst. & Bowdoin Coll.) , Andreas Weyhausen, Tim Dietrich, Bernd Brügmann (Jena U.) , Pedro J. Montero, Ewald Müller (Garching, Max Planck Inst.)
- Phys.Rev. D88 (2013) 103009
- DOI: 10.1103/PhysRevD.88.103009
- e-Print: arXiv:1309.5008 [gr-qc] | PDF
[+]Momentum constraint relaxation
Pedro Marronetti (Florida Atlantic U.)
- Class.Quant.Grav. 23 (2006) 2681-2696
- DOI: 10.1088/0264-9381/23/7/027
- e-Print: gr-qc/0511143 | PDF
[+]Gauge pathologies in singularity-avoidant spacetime foliations
C. Bona (Balearic Islands U.) , T. Ledvinka (Charles U.) , C. Palenzuela-Luque (Louisiana State U.) , J.A. Pons (Alicante U.) , M. Zacek (Charles U.)
- e-Print: gr-qc/0410079 | PDF
[+]Constraint and gauge shocks in one-dimensional numerical relativity
Bernd Reimann (Mexico U., ICN & Potsdam, Max Planck Inst.) , Miguel Alcubierre (Mexico U., ICN) , Jose A. Gonzalez (Penn State U.) , Dario Nunez (Mexico U., ICN)
- Phys.Rev. D71 (2005) 064021
- DOI: 10.1103/PhysRevD.71.064021
- e-Print: gr-qc/0411094 | PDF
[+]Numerical experiments of adjusted BSSN systems for controlling constraint violations
Kenta Kiuchi (Waseda U.) , Hisa-aki Shinkai (Osaka Inst. Tech.)
- Phys.Rev. D77 (2008) 044010
- DOI: 10.1103/PhysRevD.77.044010
- e-Print: arXiv:0711.3575 [gr-qc] | PDF
[+]Numerical Relativity in Spherical Polar Coordinates: Evolution Calculations with the BSSN Formulation
Thomas W. Baumgarte (Garching, Max Planck Inst. & Bowdoin Coll.) , Pedro J. Montero, Isabel Cordero-Carrion, Ewald Muller (Garching, Max Planck Inst.)
- Phys.Rev. D87 (2013) 044026
- DOI: 10.1103/PhysRevD.87.044026
- e-Print: arXiv:1211.6632 [gr-qc] | PDF
[+]An Introduction to the Einstein Toolkit
Miguel Zilhão (Rochester Inst. Tech.) , Frank Löffler (CCT, Baton Rouge)
- Int.J.Mod.Phys. A28 (2013) 1340014
- DOI: 10.1142/S0217751X13400149
- e-Print: arXiv:1305.5299 [gr-qc] | PDF
[+]Three-dimensional adaptive evolution of gravitational waves in numerical relativity
Kimberly C.B. New (Drexel U. & Los Alamos) , Dae-Il Choi, Joan M. Centrella (Drexel U.) , Peter MacNeice (Drexel U. & NASA, Goddard) , Mijan F. Huq (Penn State U.) , Kevin Olson (Chicago U., EFI)
- Phys.Rev. D62 (2000) 084039
- DOI: 10.1103/PhysRevD.62.084039
- e-Print: gr-qc/0007045 | PDF
[+]Boundary conditions for hyperbolic formulations of the Einstein equations
Simonetta Frittelli (Duquesne U.) , Roberto Gomez (Pittsburgh Supercomputing Ctr.)
- Class.Quant.Grav. 20 (2003) 2379-2392
- DOI: 10.1088/0264-9381/20/11/327
- e-Print: gr-qc/0302032 | PDF
[+]Advantages of modified ADM formulation: Constraint propagation analysis of Baumgarte-Shapiro-Shibata-Nakamura system
Gen Yoneda (Waseda U.) , Hisa-aki Shinkai (Wako, RIKEN)
- Phys.Rev. D66 (2002) 124003
- DOI: 10.1103/PhysRevD.66.124003
- e-Print: gr-qc/0204002 | PDF
[+]A Cure for unstable numerical evolutions of single black holes: Adjusting the standard ADM equations
Bernard J. Kelly, Pablo Laguna, Keith Lockitch, Jorge Pullin, Erik Schnetter, Deirdre Shoemaker, Manuel Tiglio (Penn State U.)
- Phys.Rev. D64 (2001) 084013
- DOI: 10.1103/PhysRevD.64.084013
- e-Print: gr-qc/0103099 | PDF
[+]Convergence and stability in numerical relativity
Gioel Calabrese, Jorge Pullin, Olivier Sarbach, Manuel Tiglio (Louisiana State U.)
- Phys.Rev. D66 (2002) 041501
- DOI: 10.1103/PhysRevD.66.041501
- e-Print: gr-qc/0207018 | PDF
[+]Hyperbolic slicings of space-time: Singularity avoidance and gauge shocks
Miguel Alcubierre (Mexico U., ICN)
- Class.Quant.Grav. 20 (2003) 607-624
- DOI: 10.1088/0264-9381/20/4/304
- e-Print: gr-qc/0210050 | PDF
[+]Dynamical gauge conditions for the Einstein evolution equations
Lee Lindblom, Mark A. Scheel (Caltech)
- Phys.Rev. D67 (2003) 124005
- DOI: 10.1103/PhysRevD.67.124005
- e-Print: gr-qc/0301120 | PDF
[+]Numerical evolution of Brill waves
David Garfinkle (Oakland U.) , G.Comer Duncan (Bowling Green State U.)
- Phys.Rev. D63 (2001) 044011
- DOI: 10.1103/PhysRevD.63.044011
- e-Print: gr-qc/0006073 | PDF
[+]Where do moving punctures go?
Mark Hannam, Sascha Husa, Bernd Bruegmann, Jose A. Gonzalez, Ulrich Sperhake (Jena U., TPI) , Niall O Murchadha (University Coll., Cork)
- J.Phys.Conf.Ser. 66 (2007) 012047
- DOI: 10.1088/1742-6596/66/1/012047
- e-Print: gr-qc/0612097 | PDF
[+]Gravitational collapse of gravitational waves in 3-D numerical relativity
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann, Gerd Lanfermann (Potsdam, Max Planck Inst.) , Edward Seidel (Potsdam, Max Planck Inst. & NCSA, Urbana) , Wai-Mo Suen (Washington U., St. Louis & Hong Kong, Chinese U.) , Malcolm Tobias (Washington U., St. Louis)
- Phys.Rev. D61 (2000) 041501
- DOI: 10.1103/PhysRevD.61.041501
- e-Print: gr-qc/9904013 | PDF
[+]On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations
Horst R. Beyer (Louisiana State U. & Potsdam, Max Planck Inst.) , Olivier Sarbach (Louisiana State U.)
- Phys.Rev. D70 (2004) 104004
- DOI: 10.1103/PhysRevD.70.104004
- e-Print: gr-qc/0406003 | PDF
[+]Symmetric hyperbolicity and consistent boundary conditions for second order Einstein equations
Carsten Gundlach (Southampton U.) , Jose M. Martin-Garcia (Madrid, IMAFF)
- Phys.Rev. D70 (2004) 044032
- DOI: 10.1103/PhysRevD.70.044032
- e-Print: gr-qc/0403019 | PDF
[+]The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
Frank Loffler (CCT, Baton Rouge) , Joshua Faber (Rochester Inst. Tech.) , Eloisa Bentivegna (Potsdam, Max Planck Inst.) , Tanja Bode (Georgia Tech) , Peter Diener (CCT, Baton Rouge) , Roland Haas (Caltech & Georgia Tech) , Ian Hinder (Potsdam, Max Planck Inst.) , Bruno C. Mundim (Rochester Inst. Tech.) , Christian D. Ott (Caltech & CCT, Baton Rouge & Tokyo U., IPMU) , Erik Schnetter (Perimeter Inst. Theor. Phys. & Guelph U. & CCT, Baton Rouge) Gabrielle Allen (CCT, Baton Rouge & Louisiana State U. & NSF, Wash., D.C.) , Manuela Campanelli (Rochester Inst. Tech.) , Pablo Laguna (Georgia Tech)
- Class.Quant.Grav. 29 (2012) 115001
- DOI: 10.1088/0264-9381/29/11/115001
- e-Print: arXiv:1111.3344 [gr-qc] | PDF
[+]Hyperbolicity of the BSSN system of Einstein evolution equations
Olivier Sarbach, Gioel Calabrese, Jorge Pullin, Manuel Tiglio (Louisiana State U.)
- Phys.Rev. D66 (2002) 064002
- DOI: 10.1103/PhysRevD.66.064002
- e-Print: gr-qc/0205064 | PDF
[+]A Constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
Silvano Bonazzola, Eric Gourgoulhon (Meudon Observ.) , Philippe Grandclement (Northwestern U. & Meudon Observ.) , Jerome Novak (Meudon Observ.)
- Phys.Rev. D70 (2004) 104007
- DOI: 10.1103/PhysRevD.70.104007
- e-Print: gr-qc/0307082 | PDF
[+]Towards an understanding of the stability properties of the (3+1) evolution equations in General Relativity
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann (Potsdam, Max Planck Inst.) , Edward Seidel (Potsdam, Max Planck Inst. & Illinois U., Beckman Inst.) , Wai-Mo Suen (Washington U., St. Louis & Hong Kong, Chinese U.)
- Phys.Rev. D62 (2000) 124011
- DOI: 10.1103/PhysRevD.62.124011
- e-Print: gr-qc/9908079 | PDF
[+]Towards a stable numerical evolution of strongly gravitating systems in general relativity: The Conformal treatments
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann, Thomas Dramlitsch (Potsdam, Max Planck Inst.) , Jose A. Font (Garching, Max Planck Inst.) , Philippos Papadopoulos (Portsmouth U.) , Edward Seidel (Potsdam, Max Planck Inst. & Illinois U., Beckman Inst.) , Nikolaos Stergioulas (Potsdam, Max Planck Inst. & Thessaloniki U.) , Wai-Mo Suen (Washington U., St. Louis & Hong Kong, Chinese U.) , Ryoji Takahashi (Potsdam, Max Planck Inst.)
- Phys.Rev. D62 (2000) 044034
- DOI: 10.1103/PhysRevD.62.044034
- e-Print: gr-qc/0003071 | PDF