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Volumn 8, Issue 2, 1998, Pages 299-326

The hp finite element method for singularly perturbed problems in smooth domains

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EID: 0032384457     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202598000135     Document Type: Article
Times cited : (16)

References (16)
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    • Arnold, D.N.1    Falk, R.S.2
  • 2
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    • The h-p version of the finite element method. Part 1: The basic approximation results
    • I. Babuška and B. Guo, The h-p version of the finite element method. Part 1: The basic approximation results, Comput. Mech. 1 (1986) 21-41.
    • (1986) Comput. Mech. , vol.1 , pp. 21-41
    • Babuška, I.1    Guo, B.2
  • 3
    • 0345257516 scopus 로고
    • The h, p and hp version of the finite element method for one dimensional problems. Part I: The error analysis for the p version
    • I. Babuška and W. Gui, The h, p and hp version of the finite element method for one dimensional problems. Part I: The error analysis for the p version, Numer. Math. 49 (1986) 577-612.
    • (1986) Numer. Math. , vol.49 , pp. 577-612
    • Babuška, I.1    Gui, W.2
  • 4
    • 0023400213 scopus 로고
    • The optimal convergence rate of the p version of the finite element method
    • I. Babuška and M. Suri, The optimal convergence rate of the p version of the finite element method, SIAM J. Numer. Anal. 24 (1987) 750-777.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 750-777
    • Babuška, I.1    Suri, M.2
  • 6
    • 0040823390 scopus 로고
    • On estimates best possible in order in the Galerkin finite element method for singularly perturbed boundary value problems
    • I. A. Blatov and V. V. Strygin, On estimates best possible in order in the Galerkin finite element method for singularly perturbed boundary value problems, Russian Acad. Sci. Dokl. Math. 47 (1993) 93-96.
    • (1993) Russian Acad. Sci. Dokl. Math. , vol.47 , pp. 93-96
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  • 7
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    • Spectral methods and a maximum principle
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    • (1988) Math. Comp. , vol.51 , pp. 615-629
    • Canuto, C.1
  • 8
    • 0000032004 scopus 로고
    • Boundary layers in linear elliptic singular perturbation problems
    • W. Eckhaus, Boundary layers in linear elliptic singular perturbation problems, SIAM Rev. 14 (1972) 225-271.
    • (1972) SIAM Rev. , vol.14 , pp. 225-271
    • Eckhaus, W.1
  • 11
    • 0029515743 scopus 로고
    • Shell deformation states and the finite element method: A benchmark study of cylindrical shells
    • J. Pitkäranta, Y. Leino, O. Ovaskainen and J. Piila, Shell deformation states and the finite element method: A benchmark study of cylindrical shells, Comp. Meth. Appl. Mech. Engrg. 128 (1995) 81-121.
    • (1995) Comp. Meth. Appl. Mech. Engrg. , vol.128 , pp. 81-121
    • Pitkäranta, J.1    Leino, Y.2    Ovaskainen, O.3    Piila, J.4
  • 12
    • 0000424632 scopus 로고
    • Locking and boundary layer effects in the finite element approximation of the Reissner-Mindlin plate model
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    • (1994) Proc. Symp. Appl. Math. , vol.48 , pp. 367-371
    • Schwab, C.1    Suri, M.2
  • 13
    • 0041622292 scopus 로고    scopus 로고
    • The p version of the finite element method for problems with boundary layers
    • C. Schwab and M. Suri, The p version of the finite element method for problems with boundary layers, Math. Comp. 65 (1996) 1403-1429.
    • (1996) Math. Comp. , vol.65 , pp. 1403-1429
    • Schwab, C.1    Suri, M.2
  • 14
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    • Boundary layers in hierarchical beam and plate models
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.