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Volumn 162, Issue 2, 2005, Pages 969-989

Optimal finite element mesh for elliptic equation of divergence form

Author keywords

Condition number; Finite element method; Optimal mesh

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; ERROR ANALYSIS; MATRIX ALGEBRA; STIFFNESS;

EID: 10444254656     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.01.009     Document Type: Article
Times cited : (2)

References (16)
  • 3
    • 0026169599 scopus 로고
    • Efficient preconditioning for the p-version finite element method in two dimensions
    • I. Babuška, A. Craig, J. Mandel, J. Pitkäranta, Efficient preconditioning for the p-version finite element method in two dimensions, SIAM J. Numer. Anal. 28 (1991) 624-661.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 624-661
    • Babuška, I.1    Craig, A.2    Mandel, J.3    Pitkäranta, J.4
  • 4
    • 0000728755 scopus 로고
    • On the conditioning of finite element equations with highly refined meshes
    • R.E. Bank, L.R. Scott, On the conditioning of finite element equations with highly refined meshes, SIAM J. Numer. Anal. 26 (1989) 1383-1394.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1383-1394
    • Bank, R.E.1    Scott, L.R.2
  • 5
    • 0031274209 scopus 로고    scopus 로고
    • Anisotropie mesh optimization and its application in adaptivity
    • G.C. Buscaglia, E.A. Dari, Anisotropie mesh optimization and its application in adaptivity, Int. J. Numer. Mech. Eng. 40 (1997) 4119-4136.
    • (1997) Int. J. Numer. Mech. Eng. , vol.40 , pp. 4119-4136
    • Buscaglia, G.C.1    Dari, E.A.2
  • 7
    • 85003413406 scopus 로고
    • Condition of finite element stiffness matrices generated from non-uniform meshes
    • I. Fried, Condition of finite element stiffness matrices generated from non-uniform meshes, AIAA J. 10 (1972) 219-221.
    • (1972) AIAA J. , vol.10 , pp. 219-221
    • Fried, I.1
  • 8
    • 0015667999 scopus 로고
    • Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices
    • I. Fried, Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices, Int. J. Solids Struct. 9 (1973) 1013-1034.
    • (1973) Int. J. Solids Struct. , vol.9 , pp. 1013-1034
    • Fried, I.1
  • 10
    • 0032367243 scopus 로고    scopus 로고
    • Bounds for eigenvalues and condition numbers in the p-version of the finite element method
    • N. Hu, X.-Z. Guo, I.N. Katz, Bounds for eigenvalues and condition numbers in the p-version of the finite element method, Math. Comput. 67 (1998) 1423-1450.
    • (1998) Math. Comput. , vol.67 , pp. 1423-1450
    • Hu, N.1    Guo, X.-Z.2    Katz, I.N.3
  • 12
    • 0030489949 scopus 로고    scopus 로고
    • Condition number and diagonal preconditioning: Comparison of the p-version and the spectral element methods
    • J.-F. Maitre, O. Pourquier, Condition number and diagonal preconditioning: comparison of the p-version and the spectral element methods, Numer. Math. 74 (1996) 69-84.
    • (1996) Numer. Math. , vol.74 , pp. 69-84
    • Maitre, J.-F.1    Pourquier, O.2
  • 13
    • 21844498639 scopus 로고
    • Bounds on spectral condition number of matrices arising in the p-version of the finite element method
    • E.T. Olsen, J. Douglas Jr., Bounds on spectral condition number of matrices arising in the p-version of the finite element method, Numer. Math. 69 (1995) 333-352.
    • (1995) Numer. Math. , vol.69 , pp. 333-352
    • Olsen, E.T.1    Douglas Jr., J.2
  • 14
    • 21344477231 scopus 로고
    • On preconditioning for the finite element equations on irregular grids
    • A. Ramage, A.J. Wathen, On preconditioning for the finite element equations on irregular grids, SIAM J. Matrix Anal. Appl. 15 (1994) 909-921.
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 909-921
    • Ramage, A.1    Wathen, A.J.2
  • 15
    • 33645022195 scopus 로고    scopus 로고
    • An adaptive algorithm for quasioptimal mesh generation
    • Y.V. Vasilevskii, K.M. Lipnikov, An adaptive algorithm for quasioptimal mesh generation, Comput. Math. Math. Phys. 39 (1999) 1532-1551.
    • (1999) Comput. Math. Math. Phys. , vol.39 , pp. 1532-1551
    • Vasilevskii, Y.V.1    Lipnikov, K.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.