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Volumn 5, Issue 5, 2009, Pages 1012-1029

A multi-mesh adaptive finite element approximation to phase field models

Author keywords

Adaptive finite element; Local refinement; Multi mesh; Phase field

Indexed keywords


EID: 58249138999     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (44)

References (22)
  • 1
    • 0000299096 scopus 로고
    • Variational algorithms and pattern formation in dendritic solidification
    • R. Almgrem. Variational algorithms and pattern formation in dendritic solidification. J. Comput. Phys., 106:337, 1993.
    • (1993) J. Comput. Phys , vol.106 , pp. 337
    • Almgrem, R.1
  • 2
    • 33846380982 scopus 로고    scopus 로고
    • An r-adaptive finite element method for the solution of the two-dimensional phase-field equations
    • G. Beckett, J. A. Mackenzie, and M. L. Robertson. An r-adaptive finite element method for the solution of the two-dimensional phase-field equations. Commun. Comput. Phys., 1:805-826, 2006.
    • (2006) Commun. Comput. Phys , vol.1 , pp. 805-826
    • Beckett, G.1    Mackenzie, J.A.2    Robertson, M.L.3
  • 3
    • 0002429644 scopus 로고
    • On the evolution of phase boundaries
    • M. E. Gurtin and G. B. McFadden, editors, Springer-Verlag, New York
    • G. Caginalp and X. Chen. On the evolution of phase boundaries. In M. E. Gurtin and G. B. McFadden, editors, The IMA volumes in mathematics and its applications, page 1. Springer-Verlag, New York, 1992.
    • (1992) The IMA volumes in mathematics and its applications , pp. 1
    • Caginalp, G.1    Chen, X.2
  • 4
    • 0000405986 scopus 로고
    • Diffuse interface model of diffusion-limited crystal growth
    • J. B. Collins and H. Levine. Diffuse interface model of diffusion-limited crystal growth. Phys. Rev. B, 31:6119-6122, 1985.
    • (1985) Phys. Rev. B , vol.31 , pp. 6119-6122
    • Collins, J.B.1    Levine, H.2
  • 5
    • 41749090913 scopus 로고    scopus 로고
    • A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows
    • Y. Di, R. Li, and T. Tang. A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows. Commun. Comput. Phys., 3:582-602, 2008.
    • (2008) Commun. Comput. Phys , vol.3 , pp. 582-602
    • Di, Y.1    Li, R.2    Tang, T.3
  • 6
    • 19744364449 scopus 로고    scopus 로고
    • Moving mesh finite element methods for the incompressible navier-stokes equations
    • Y. Di, T. Tang R. Li, and R.-W. Zhang. Moving mesh finite element methods for the incompressible navier-stokes equations. SIAM J Sci. Comput., 26:1036-1056, 2005.
    • (2005) SIAM J Sci. Comput , vol.26 , pp. 1036-1056
    • Di, Y.1    Tang, T.2    Li, R.3    Zhang, R.-W.4
  • 7
    • 0033710185 scopus 로고    scopus 로고
    • Robustness and scalability of algebraic multigrid
    • A. J. Cleary etc. Robustness and scalability of algebraic multigrid. SIAM J. Sci. Comput., 21(5):1886-1908, 1999.
    • (1999) SIAM J. Sci. Comput , vol.21 , Issue.5 , pp. 1886-1908
    • Cleary, A.J.1
  • 8
    • 0034770470 scopus 로고    scopus 로고
    • Algebraic multigrid based on element interpolation (AMGe)
    • M. Brezina etc. Algebraic multigrid based on element interpolation (AMGe). SIAM J. Sci. Comput, 22(5):1570-1592, 2000.
    • (2000) SIAM J. Sci. Comput , vol.22 , Issue.5 , pp. 1570-1592
    • Brezina etc, M.1
  • 9
    • 4243643071 scopus 로고    scopus 로고
    • Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics
    • A. Karma and W.-H. Rappel. Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics. Phys. Rev. E, 53(4):3017-3020, 1996.
    • (1996) Phys. Rev. E , vol.53 , Issue.4 , pp. 3017-3020
    • Karma, A.1    Rappel, W.-H.2
  • 10
    • 4243457001 scopus 로고    scopus 로고
    • Quantitative phase-field modeling of dendritic growth in two and three dimensions
    • A. Karma and W.-J. Rappel. Quantitative phase-field modeling of dendritic growth in two and three dimensions. Phys. Rev. E, 57:4323-4349, 1998.
    • (1998) Phys. Rev. E , vol.57 , pp. 4323-4349
    • Karma, A.1    Rappel, W.-J.2
  • 11
    • 36448961086 scopus 로고    scopus 로고
    • Use of the spatial kD-tree in computational physics applications
    • A. Khamayseh and G. Hansen. Use of the spatial kD-tree in computational physics applications. Commun. Comput. Phys., 2:545-576, 2007.
    • (2007) Commun. Comput. Phys , vol.2 , pp. 545-576
    • Khamayseh, A.1    Hansen, G.2
  • 12
    • 27244452591 scopus 로고    scopus 로고
    • On multi-mesh h-adaptive algorithm
    • R. Li. On multi-mesh h-adaptive algorithm. J. Sci. Comput., 24(3):321-341, 2005.
    • (2005) J. Sci. Comput , vol.24 , Issue.3 , pp. 321-341
    • Li, R.1
  • 13
    • 67649494579 scopus 로고    scopus 로고
    • R. Li and W. B. Liu. http://circus.math.pku.edu.cn/AFEPack.
    • R. Li and W. B. Liu. http://circus.math.pku.edu.cn/AFEPack.
  • 14
    • 67649506459 scopus 로고    scopus 로고
    • B. Niceno. http://www-dinma.univ.trieste.it/nirftc/research/easymesh/.
    • Niceno, B.1
  • 15
    • 0000945296 scopus 로고    scopus 로고
    • Adaptive mesh refinement of solidification microstructures using dynamic data structures
    • N. Provatas, N. Goldenfeld, and J. Dantzig. Adaptive mesh refinement of solidification microstructures using dynamic data structures. J. Comput. Phys., 148:265-290, 1999.
    • (1999) J. Comput. Phys , vol.148 , pp. 265-290
    • Provatas, N.1    Goldenfeld, N.2    Dantzig, J.3
  • 16
    • 0030137571 scopus 로고    scopus 로고
    • Computation of three dimensional dendrites with finite elements
    • A. Schmidt. Computation of three dimensional dendrites with finite elements. J. Comput. Phys., 125:293-312, 1996.
    • (1996) J. Comput. Phys , vol.125 , pp. 293-312
    • Schmidt, A.1
  • 18
    • 40549100406 scopus 로고    scopus 로고
    • Mesh sensitivity for numerical solutions of phase-field equations using r-adaptive finite element methods
    • H.-Y. Wang and R. Li. Mesh sensitivity for numerical solutions of phase-field equations using r-adaptive finite element methods. Commun. Comput. Phys., 3:357-375, 2008.
    • (2008) Commun. Comput. Phys , vol.3 , pp. 357-375
    • Wang, H.-Y.1    Li, R.2
  • 19
    • 85120282685 scopus 로고    scopus 로고
    • H.-Y. Wang, R. Li, and T. Tang. Efficient computation of dentritic growth with r-adaptive finite element methods. J. Comput. Phys., page Accepted, 2008.
    • H.-Y. Wang, R. Li, and T. Tang. Efficient computation of dentritic growth with r-adaptive finite element methods. J. Comput. Phys., page Accepted, 2008.
  • 20
    • 0030210763 scopus 로고    scopus 로고
    • Algorithms for phase field computation of the dendritic operating state at large supercoolings
    • S.-L. Wang and R. F. Sekerka. Algorithms for phase field computation of the dendritic operating state at large supercoolings. J. Comput. Phys., 127:110-117, 1996.
    • (1996) J. Comput. Phys , vol.127 , pp. 110-117
    • Wang, S.-L.1    Sekerka, R.F.2
  • 21
    • 0001311610 scopus 로고    scopus 로고
    • Computation of the dendritic operating state at large super-coolings by the phase field model
    • S.-L. Wang and R. E Sekerka. Computation of the dendritic operating state at large super-coolings by the phase field model. Phys. Rev. E, 53:3760-3776, 1996.
    • (1996) Phys. Rev. E , vol.53 , pp. 3760-3776
    • Wang, S.-L.1    Sekerka, R.E.2
  • 22
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • O. C. Zienkiewicz and J. Z. Zhu. A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Numer. Meth. Eng., 24:337-357, 1987.
    • (1987) Int. J. Numer. Meth. Eng , vol.24 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.