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Volumn 193, Issue 2, 2004, Pages 398-425

Interface conditions for wave propagation through mesh refinement boundaries

Author keywords

Computational techniques; Finite difference methods; Gravitational waves; Mesh generation and refinement; Numerical relativity; Partial differential equations

Indexed keywords

INTERPOLATION; MESH GENERATION; NONLINEAR EQUATIONS; NUMERICAL METHODS; RELATIVITY; WAVE PROPAGATION;

EID: 0348222800     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.07.036     Document Type: Article
Times cited : (29)

References (25)
  • 3
    • 0003952210 scopus 로고    scopus 로고
    • LISA, Pre-Phase A Report
    • seconded., unpublished. Available from
    • P. Bender et al., LISA, Pre-Phase A Report, seconded., 1998, unpublished. Available from http://lisa.jpl.nasa.gov/documents/ppa2-09.pdf.
    • (1998)
    • Bender, P.1
  • 5
    • 0000831661 scopus 로고
    • Evolution of three-dimensional gravitational waves: Harmonic slicing case
    • M. Shibata, T. Nakamura, Evolution of three-dimensional gravitational waves: Harmonic slicing case, Phys. Rev. D 52 (1995) 5428.
    • (1995) Phys. Rev. D , vol.52 , pp. 5428
    • Shibata, M.1    Nakamura, T.2
  • 6
    • 16444368535 scopus 로고    scopus 로고
    • Numerical integration of Einstein's field equations
    • T. Baumgarte, S. Shapiro, Numerical integration of Einstein's field equations, Phys. Rev. D 59 (1998) 024007.
    • (1998) Phys. Rev. D , vol.59 , pp. 024007
    • Baumgarte, T.1    Shapiro, S.2
  • 7
    • 11544251818 scopus 로고
    • Universality and scaling in gravitational collapse of a massless scalar field
    • M. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field, Phys. Rev. Lett. 70 (1993) 9.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 9
    • Choptuik, M.1
  • 8
    • 0040772040 scopus 로고    scopus 로고
    • Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3 + 1 dimensions
    • B. Brügmann, Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3 + 1 dimensions, Phys. Rev. D 54 (1996) 7361.
    • (1996) Phys. Rev. D , vol.54 , pp. 7361
    • Brügmann, B.1
  • 9
    • 0033470549 scopus 로고    scopus 로고
    • Binary black hole mergers in 3d numerical relativity
    • B. Brügmann, Binary black hole mergers in 3d numerical relativity, Int. J. Mod. Phys. D 8 (1999) 85.
    • (1999) Int. J. Mod. Phys. D , vol.8 , pp. 85
    • Brügmann, B.1
  • 10
    • 0542370752 scopus 로고    scopus 로고
    • Adaptive computation of gravitational waves from black hole interactions
    • P. Papadopoulos, E. Seidel, L. Wild, Adaptive computation of gravitational waves from black hole interactions, Phys. Rev. D 58 (1998) 084002.
    • (1998) Phys. Rev. D , vol.58 , pp. 084002
    • Papadopoulos, P.1    Seidel, E.2    Wild, L.3
  • 11
    • 16644365660 scopus 로고    scopus 로고
    • Three-dimensional adaptive evolution of gravitational waves in numerical relativity
    • K. New, D. Choi, J. Centrella, P. MacNeice, M. Huq, K. Olson, Three-dimensional adaptive evolution of gravitational waves in numerical relativity, Phys. Rev. D 62 (2000) 084039.
    • (2000) Phys. Rev. D , vol.62 , pp. 084039
    • New, K.1    Choi, D.2    Centrella, J.3    MacNeice, P.4    Huq, M.5    Olson, K.6
  • 12
    • 0007175839 scopus 로고    scopus 로고
    • Numerical relativity and inhomogeneous cosmologies
    • Ph.D. Thesis, Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, UK, Available from
    • S. Hern, Numerical relativity and inhomogeneous cosmologies, Ph.D. Thesis, Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, UK, 2000. Available from http://arxiv.org/abs/gr-qc/0001070.
    • (2000)
    • Hern, S.1
  • 13
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial differential equations
    • M.J. Berger, J. Oliger, Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Phys. 53 (1984) 484.
    • (1984) J. Comput. Phys. , vol.53 , pp. 484
    • Berger, M.J.1    Oliger, J.2
  • 14
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • M.J. Berger, P. Colella, Local adaptive mesh refinement for shock hydrodynamics, J. Comput. Phys. 82 (1989) 64.
    • (1989) J. Comput. Phys. , vol.82 , pp. 64
    • Berger, M.J.1    Colella, P.2
  • 15
    • 0023427316 scopus 로고
    • On conservation at grid interfaces
    • M.J. Berger, On conservation at grid interfaces, SIAM J. Numer. Anal. 24 (1987) 967.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 967
    • Berger, M.J.1
  • 19
    • 17044428471 scopus 로고    scopus 로고
    • On the stability of the iterated Crank-Nicholson method in numerical relativity
    • S. Teukolsky, On the stability of the iterated Crank-Nicholson method in numerical relativity, Phys. Rev. D 61 (2000) 087501.
    • (2000) Phys. Rev. D , vol.61 , pp. 087501
    • Teukolsky, S.1
  • 21
    • 28144436430 scopus 로고
    • An adaptively refined cartesian mesh solver for the Euler equations
    • D. DeZeeuw, K. Powell, An adaptively refined cartesian mesh solver for the Euler equations, J. Comput. Phys. 104 (1993) 56.
    • (1993) J. Comput. Phys. , vol.104 , pp. 56
    • DeZeeuw, D.1    Powell, K.2
  • 22
    • 0003842729 scopus 로고
    • A First Course in General Relativity
    • Cambridge University Press, New York
    • B. Schutz, A First Course in General Relativity, Cambridge University Press, New York, 1985.
    • (1985)
    • Schutz, B.1
  • 23
    • 0040828517 scopus 로고    scopus 로고
    • Solving Poisson's Equation using Adaptive Mesh Refinement
    • unpublished notes
    • D. Martin, K. Cartwright, Solving Poisson's Equation using Adaptive Mesh Refinement, unpublished notes (1996).
    • (1996)
    • Martin, D.1    Cartwright, K.2
  • 24
    • 0000358125 scopus 로고
    • Linearized quadrupole waves in general relativity and the motion of test particles equation using adaptive mesh refinement
    • S. Teukolsky, Linearized quadrupole waves in general relativity and the motion of test particles equation using adaptive mesh refinement, Phys. Rev. D 26 (1982) 745.
    • (1982) Phys. Rev. D , vol.26 , pp. 745
    • Teukolsky, S.1
  • 25
    • 0030192454 scopus 로고    scopus 로고
    • Stability of interpolation on overlapping grids
    • F. Olsson, N. Anders Petersson, Stability of interpolation on overlapping grids, Comput. Fluids 25 (1996) 583.
    • (1996) Comput. Fluids , vol.25 , pp. 583
    • Olsson, F.1    Anders Petersson, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.