메뉴 건너뛰기




Volumn 10, Issue 4, 2000, Pages 361-382

A cost/benefit analysis of simplicial mesh improvement techniques as measured by solution efficiency

Author keywords

Mesh improvement; Mesh smoothing; Solution efficiency

Indexed keywords


EID: 0034417405     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218195900000218     Document Type: Article
Times cited : (37)

References (33)
  • 5
    • 0000696639 scopus 로고
    • On the rate of convergence of the preconditioned conjugate gradient method
    • O. Axelsson and G. Lindskog. On the rate of convergence of the preconditioned conjugate gradient method. Numerische Mathematik, 48:499-523, 1986.
    • (1986) Numerische Mathematik , vol.48 , pp. 499-523
    • Axelsson, O.1    Lindskog, G.2
  • 6
    • 0016939764 scopus 로고
    • On the angle condition in the finite element method
    • I. Babuska and A. Aziz. On the angle condition in the finite element method. SIAM Journal on Numerical Analysis, 13:214-226, 1976.
    • (1976) SIAM Journal on Numerical Analysis , vol.13 , pp. 214-226
    • Babuska, I.1    Aziz, A.2
  • 8
    • 0001309061 scopus 로고    scopus 로고
    • Mesh smoothing using a posteriori error estimates
    • June
    • R. E. Bank and R. K. Smith. Mesh smoothing using a posteriori error estimates. SIAM Journal on Numerical Analysis, 34(3):979-997, June 1997.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , Issue.3 , pp. 979-997
    • Bank, R.E.1    Smith, R.K.2
  • 9
    • 0007215840 scopus 로고
    • Recent developments in high order k-exact reconstruction on unstructured meshes
    • 93-0668, January
    • Timothy J. Barth. Recent developments in high order k-exact reconstruction on unstructured meshes. AIAA paper, 93-0668, January 1993.
    • (1993) AIAA Paper
    • Barth, T.J.1
  • 11
    • 0030682542 scopus 로고    scopus 로고
    • On combining Laplacian and optimization-based smoothing techniques
    • ASME Applied Mechanics Division
    • Lori Freitag. On combining Laplacian and optimization-based smoothing techniques. In Trends in Unstructured Mesh Generation, volume AMD-Vol. 220, pages 37-44. ASME Applied Mechanics Division, 1997.
    • (1997) Trends in Unstructured Mesh Generation , vol.220 AMD , pp. 37-44
    • Freitag, L.1
  • 14
    • 85003413406 scopus 로고
    • Condition of finite element matrices generated from nonuniform meshes
    • I. Fried. Condition of finite element matrices generated from nonuniform meshes. AIAA Journal, 10:219-221, 1972.
    • (1972) AIAA Journal , vol.10 , pp. 219-221
    • Fried, I.1
  • 15
    • 0000580113 scopus 로고
    • GMRES/CR and Arnoldi/Lanczos at matrix approximation problems
    • Anne Greenbaum and Lloyd Trefethen. GMRES/CR and Arnoldi/Lanczos at matrix approximation problems. SIAM Journal on Scientific Computing, 15(2):359-368, 1994.
    • (1994) SIAM Journal on Scientific Computing , vol.15 , Issue.2 , pp. 359-368
    • Greenbaum, A.1    Trefethen, L.2
  • 17
    • 0002716202 scopus 로고
    • Influence of the eigenvalue spectrum on the convergence rate of the conjugate gradient method
    • A. Jennings. Influence of the eigenvalue spectrum on the convergence rate of the conjugate gradient method. Journal of the Institute of Mathematics and Its Applications, 20:61-72, 1977.
    • (1977) Journal of the Institute of Mathematics and Its Applications , vol.20 , pp. 61-72
    • Jennings, A.1
  • 18
    • 0000166818 scopus 로고
    • Three-dimensional triangulations from local transformations
    • Barry Joe. Three-dimensional triangulations from local transformations. SIAM Journal on Scientific and Statistical Computing, 10:718-741, 1989.
    • (1989) SIAM Journal on Scientific and Statistical Computing , vol.10 , pp. 718-741
    • Joe, B.1
  • 19
    • 0001121724 scopus 로고
    • Construction of three-dimensional improved quality triangulations using local transformations
    • Barry Joe. Construction of three-dimensional improved quality triangulations using local transformations. SIAM Journal on Scientific Computing, 16:1292-1307, 1995.
    • (1995) SIAM Journal on Scientific Computing , vol.16 , pp. 1292-1307
    • Joe, B.1
  • 21
    • 84985402808 scopus 로고
    • On the convergence behavior of the restarted gmres algorithm for solving nonsymmetric linear systems
    • Wayne Joubert. On the convergence behavior of the restarted gmres algorithm for solving nonsymmetric linear systems. Numerical Linear Algebra with Applications, 1(5):277-286, 1994.
    • (1994) Numerical Linear Algebra with Applications , vol.1 , Issue.5 , pp. 277-286
    • Joubert, W.1
  • 22
    • 0023015266 scopus 로고
    • Properties of n-dimensional triangulations
    • C. L. Lawson. Properties of n-dimensional triangulations. Computer Aided Geometric Design, 3:231-246, 1986.
    • (1986) Computer Aided Geometric Design , vol.3 , pp. 231-246
    • Lawson, C.L.1
  • 24
    • 21144467170 scopus 로고
    • On the convergence rate of the conjugate gradients in the presence of rounding errors
    • Yvan Notay. On the convergence rate of the conjugate gradients in the presence of rounding errors. Numerische Mathematik, pages 301-317, 1993.
    • (1993) Numerische Mathematik , pp. 301-317
    • Notay, Y.1
  • 26
    • 84983123559 scopus 로고    scopus 로고
    • Quasi-ENO schemes for unstructured meshes based on unlimited data-dependent least-squares reconstruction
    • To appear
    • Carl F. Ollivier-Gooch. Quasi-ENO schemes for unstructured meshes based on unlimited data-dependent least-squares reconstruction. Journal of Computational Physics. To appear.
    • Journal of Computational Physics
    • Ollivier-Gooch, C.F.1
  • 27
    • 0004639088 scopus 로고    scopus 로고
    • High-order ENO schemes for unstructured meshes based on least-squares reconstruction
    • January
    • Carl F. Ollivier-Gooch. High-order ENO schemes for unstructured meshes based on least-squares reconstruction. AIAA paper 97-0540, January 1997.
    • (1997) AIAA Paper 97-0540
    • Ollivier-Gooch, C.F.1
  • 28
    • 0029380032 scopus 로고
    • Multigrid acceleration of an upwind Euler solver on unstructured meshes
    • October
    • Carl F. Ollivier-Gooch. Multigrid acceleration of an upwind Euler solver on unstructured meshes. AIAA Journal, 33(10):1822-1827, October, 1995.
    • (1995) AIAA Journal , vol.33 , Issue.10 , pp. 1822-1827
    • Ollivier-Gooch, C.F.1
  • 30
    • 0021452023 scopus 로고
    • Mesh refinement processes based on the generalized bisection of simplices
    • M. Rivara. Mesh refinement processes based on the generalized bisection of simplices. SIAM Journal on Numerical Analysis, 21:604-613, 1984.
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 604-613
    • Rivara, M.1
  • 31
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M. Schultz. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing, 7(3):856-869, 1986.
    • (1986) SIAM Journal on Scientific and Statistical Computing , vol.7 , Issue.3 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 33
    • 0000685145 scopus 로고
    • On the real convergence rate of the conjugate gradient method
    • Z. Strakos. On the real convergence rate of the conjugate gradient method. Linear Algebra and its Applications, 154-156:535-549, 1991.
    • (1991) Linear Algebra and Its Applications , vol.154-156 , pp. 535-549
    • Strakos, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.