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Volumn 20, Issue 6, 1999, Pages 1978-1994

Study of monitor functions for two-dimensional adaptive mesh generation

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THREE DIMENSIONAL; TWO DIMENSIONAL;

EID: 0033294022     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827597327656     Document Type: Article
Times cited : (113)

References (21)
  • 1
    • 0000873004 scopus 로고
    • Equidistribution schemes, poisson generators, and adaptive grids
    • D. A. ANDERSON, Equidistribution schemes, Poisson generators, and adaptive grids, Appl. Math. Comput., 24 (1987), pp. 211-227.
    • (1987) Appl. Math. Comput. , vol.24 , pp. 211-227
    • Anderson, D.A.1
  • 2
    • 0000269235 scopus 로고
    • Grid cell volume control with an adaptive grid generator
    • D. A. ANDERSON, Grid cell volume control with an adaptive grid generator, Appl. Math. Comput., 35 (1990), pp. 209-217.
    • (1990) Appl. Math. Comput. , vol.35 , pp. 209-217
    • Anderson, D.A.1
  • 3
    • 0002255324 scopus 로고
    • An adaptive grid with direction control
    • J. U. BRACKBILL, An adaptive grid with direction control, J. Comput. Phys., 108 (1993), pp. 38-50.
    • (1993) J. Comput. Phys. , vol.108 , pp. 38-50
    • Brackbill, J.U.1
  • 4
    • 49049134162 scopus 로고
    • Adaptive zoning for singular problems in two dimensions
    • J. U. BRACKBILL AND J. S. SALTZMAN, Adaptive zoning for singular problems in two dimensions, J. Comput. Phys., 46 (1982), pp. 342-368.
    • (1982) J. Comput. Phys. , vol.46 , pp. 342-368
    • Brackbill, J.U.1    Saltzman, J.S.2
  • 6
    • 0000379994 scopus 로고
    • Adaptive grid generation from harmonic maps on Riemannian manifolds
    • A. S. DVINSKY, Adaptive grid generation from harmonic maps on Riemannian manifolds, J. Comput. Phys., 95 (1991), pp. 450-476.
    • (1991) J. Comput. Phys. , vol.95 , pp. 450-476
    • Dvinsky, A.S.1
  • 8
    • 0000330572 scopus 로고
    • Grid adaption based on modified anisotropic diffusion equations formulated in the parametric domain
    • R. HAGMEIJER, Grid adaption based on modified anisotropic diffusion equations formulated in the parametric domain, J. Comput. Phys., 115 (1994), pp. 169-183.
    • (1994) J. Comput. Phys. , vol.115 , pp. 169-183
    • Hagmeijer, R.1
  • 9
    • 0003234307 scopus 로고
    • Harmonic maps of manifolds with boundary
    • Springer-Verlag, Berlin, New York
    • R. HAMILTON, Harmonic Maps of Manifolds with Boundary, Lecture Notes in Mathematics 471, Springer-Verlag, Berlin, New York, 1975.
    • (1975) Lecture Notes in Mathematics , vol.471
    • Hamilton, R.1
  • 10
    • 0031644105 scopus 로고    scopus 로고
    • A high dimensional moving mesh strategy
    • W. HUANG AND R. D. RUSSELL, A high dimensional moving mesh strategy, Appl. Numer. Math., 26 (1998), pp. 63-76.
    • (1998) Appl. Numer. Math. , vol.26 , pp. 63-76
    • Huang, W.1    Russell, R.D.2
  • 11
    • 0032226429 scopus 로고    scopus 로고
    • Moving mesh strategy based on a gradient flow equation for two-dimensional problems
    • to appear
    • W. HUANG AND R. D. RUSSELL, Moving mesh strategy based on a gradient flow equation for two-dimensional problems, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Huang, W.1    Russell, R.D.2
  • 12
    • 0028446372 scopus 로고
    • Moving mesh partial differential equations (MMPDEs) based upon the equidistribution principle
    • W. HUANG, Y. REN, AND R. D. RUSSELL, Moving mesh partial differential equations (MMPDEs) based upon the equidistribution principle, SIAM J. Numer Anal., 31 (1994), pp. 709-730.
    • (1994) SIAM J. Numer Anal. , vol.31 , pp. 709-730
    • Huang, W.1    Ren, Y.2    Russell, R.D.3
  • 13
    • 0000712022 scopus 로고
    • Mesh generation using vector-fields
    • P. KNUPP, Mesh generation using vector-fields, J. Comput. Phys., 119 (1995), pp. 142-148.
    • (1995) J. Comput. Phys. , vol.119 , pp. 142-148
    • Knupp, P.1
  • 15
    • 84972573488 scopus 로고
    • A study of regularity problem of harmonic maps
    • G. LIAO, A study of regularity problem of harmonic maps, Pacific J. Math., 131 (1988), pp. 291-302.
    • (1988) Pacific J. Math. , vol.131 , pp. 291-302
    • Liao, G.1
  • 16
    • 0009021469 scopus 로고
    • Harmonic maps with nontrivial higher-dimensional singularities
    • Dekker, New York
    • G, LIAO AND N. SMALE, Harmonic maps with nontrivial higher-dimensional singularities, Lecture Notes in Pure and Appl. Math. 144, Dekker, New York, (1993), pp. 79-89.
    • (1993) Lecture Notes in Pure and Appl. Math. , vol.144 , pp. 79-89
    • Liao, G.1    Smale, N.2
  • 18
    • 0026383997 scopus 로고
    • Three-dimensional solution-adaptive grid generation on composite configurations
    • Y. TU AND J. F. THOMPSON, Three-dimensional solution-adaptive grid generation on composite configurations, AIAA J., 29 (1991), pp. 2025-2026.
    • (1991) AIAA J. , vol.29 , pp. 2025-2026
    • Tu, Y.1    Thompson, J.F.2
  • 20
    • 0025262964 scopus 로고
    • Application of variational methods in the fixed and adaptive grid generation
    • Z. U. A. WARSI AND J. F. THOMPSON, Application of variational methods in the fixed and adaptive grid generation, Comput. Math. Appl., 19 (1990), pp. 31-41.
    • (1990) Comput. Math. Appl. , vol.19 , pp. 31-41
    • Warsi, Z.U.A.1    Thompson, J.F.2
  • 21
    • 49949139816 scopus 로고
    • Numerical solution of the quasi-linear poisson equation in a nonuniform triangle mesh
    • A. WINSLOW, Numerical solution of the quasi-linear Poisson equation in a nonuniform triangle mesh, J. Comput. Phys., 1 (1967), pp. 149-172.
    • (1967) J. Comput. Phys. , vol.1 , pp. 149-172
    • Winslow, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.