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.)
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.)
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.)
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.)
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.)
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.)
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)
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.)
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.)
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)
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)
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.)
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)
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.)
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.)
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)
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)
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.)
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)
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)
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.)
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)
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)
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.)
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.)
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.)
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.)
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