메뉴 건너뛰기




Volumn 44, Issue 6, 2006, Pages 2297-2325

Locking-free optimal discontinuous galerkin methods for timoshenko beams

Author keywords

Discontinuous Galerkin methods; Locking; Superconvergence; Timoshenko beams

Indexed keywords

DISCONTINUOUS GALERKIN METHODS; SUPERCONVERGENCE; TIMOSHENKO BEAMS;

EID: 34547377642     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/050635821     Document Type: Article
Times cited : (31)

References (28)
  • 1
    • 0001567209 scopus 로고
    • Discretization by finite elements of a model parameter dependent problem
    • D. N. ARNOLD, Discretization by finite elements of a model parameter dependent problem, Numer. Math., 37 (1981), pp. 405-421.
    • (1981) Numer. Math , vol.37 , pp. 405-421
    • ARNOLD, D.N.1
  • 2
    • 0031540408 scopus 로고    scopus 로고
    • Locking-free finite element methods for shells
    • D. N. ARNOLD AND F. BREZZI, Locking-free finite element methods for shells, Math. Comp., 66 (1997), pp. 1-14.
    • (1997) Math. Comp , vol.66 , pp. 1-14
    • ARNOLD, D.N.1    BREZZI, F.2
  • 3
    • 17444422862 scopus 로고    scopus 로고
    • A family of locking-free discontinuous Galerkin finite elements for the Reissner-Mindlin plate
    • D. N. ARNOLD, F. BREZZI, AND D. MARINI, A family of locking-free discontinuous Galerkin finite elements for the Reissner-Mindlin plate, J. Sci. Comput., 22 (2005), pp. 25-45.
    • (2005) J. Sci. Comput , vol.22 , pp. 25-45
    • ARNOLD, D.N.1    BREZZI, F.2    MARINI, D.3
  • 4
    • 0015018906 scopus 로고
    • Limitations of certain curved finite elements when applied to arches
    • D. G. ASHWELL AND A. B. SABIR, Limitations of certain curved finite elements when applied to arches, Internat. J. Mech. Sci., 13 (1971), pp. 133-139.
    • (1971) Internat. J. Mech. Sci , vol.13 , pp. 133-139
    • ASHWELL, D.G.1    SABIR, A.B.2
  • 5
    • 0026940998 scopus 로고
    • On locking and robustness in the finite element method
    • I. BABUŠKA AND M. SURI, On locking and robustness in the finite element method, SIAM J. Numer. Anal., 29 (1992), pp. 1261-1293.
    • (1992) SIAM J. Numer. Anal , vol.29 , pp. 1261-1293
    • BABUŠKA, I.1    SURI, M.2
  • 6
    • 0036013520 scopus 로고    scopus 로고
    • Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems
    • P. CASTILLO, B. COCKBURN, D. SCHÖTZAU, AND C. SCHWAB, Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems, Math. Comp., 71 (2002), pp. 455-478.
    • (2002) Math. Comp , vol.71 , pp. 455-478
    • CASTILLO, P.1    COCKBURN, B.2    SCHÖTZAU, D.3    SCHWAB, C.4
  • 8
    • 33745025041 scopus 로고    scopus 로고
    • Element-by-element post-processing of discontinuous Galerkin methods for Timoshenko beams
    • F. CELIKER AND B. COCKBURN, Element-by-element post-processing of discontinuous Galerkin methods for Timoshenko beams, J. Sci. Comput., 27 (2006), pp. 177-187.
    • (2006) J. Sci. Comput , vol.27 , pp. 177-187
    • CELIKER, F.1    COCKBURN, B.2
  • 9
    • 34547241273 scopus 로고    scopus 로고
    • Superconvergence of the numerical traces of discontinuous Galerkin and hybridized methods for convection-diffusion problems in one space dimension
    • F. CELIKER AND B. COCKBURN, Superconvergence of the numerical traces of discontinuous Galerkin and hybridized methods for convection-diffusion problems in one space dimension, Math. Comp., 76 (2007), 67-96.
    • (2007) Math. Comp , vol.76 , pp. 67-96
    • CELIKER, F.1    COCKBURN, B.2
  • 11
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent convection-diffusion systems
    • B. COCKBURN AND C.-W. SHU, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM J. Numer. Anal., 35 (1998), pp. 2440-2463.
    • (1998) SIAM J. Numer. Anal , vol.35 , pp. 2440-2463
    • COCKBURN, B.1    SHU, C.-W.2
  • 12
    • 0036556363 scopus 로고    scopus 로고
    • Discontinuous hp-finite element methods for advection-diffusion-reaction problems
    • P. HOUSTON, C. SCHWAB, AND E. SÜLI, Discontinuous hp-finite element methods for advection-diffusion-reaction problems, SIAM J. Numer. Anal., 39 (2002), pp. 2133-2163.
    • (2002) SIAM J. Numer. Anal , vol.39 , pp. 2133-2163
    • HOUSTON, P.1    SCHWAB, C.2    SÜLI, E.3
  • 14
    • 0017916002 scopus 로고
    • Improvements of plate and shell finite elements by mixed formulations
    • S. W. LEE AND T. H. H. PIAN, Improvements of plate and shell finite elements by mixed formulations, AIAA Journal, 16 (1978), pp. 29-34.
    • (1978) AIAA Journal , vol.16 , pp. 29-34
    • LEE, S.W.1    PIAN, T.H.H.2
  • 15
    • 0042499562 scopus 로고
    • Discretization of the Timoshenko beam problem by the p and the h-p versions of the finite element method
    • L. LI, Discretization of the Timoshenko beam problem by the p and the h-p versions of the finite element method, Numer. Math., 57 (1990), pp. 413-420.
    • (1990) Numer. Math , vol.57 , pp. 413-420
    • LI, L.1
  • 16
    • 0017984529 scopus 로고
    • Mixed finite element methods-reduced and selective integration techniques: A unification of concepts
    • D. S. MALKUS AND T. J. R. HUGHES, Mixed finite element methods-reduced and selective integration techniques: A unification of concepts, Comput. Methods Appl. Mech. Engrg., 15 (1978), pp. 63-81.
    • (1978) Comput. Methods Appl. Mech. Engrg , vol.15 , pp. 63-81
    • MALKUS, D.S.1    HUGHES, T.J.R.2
  • 17
    • 0018727138 scopus 로고
    • A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration
    • H. PARISCH, A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration, Comput. Methods Appl. Mech. Engrg., 20 (1979), pp. 323-350.
    • (1979) Comput. Methods Appl. Mech. Engrg , vol.20 , pp. 323-350
    • PARISCH, H.1
  • 18
    • 0002777656 scopus 로고    scopus 로고
    • An hp a priori error analysis of the DG time-stepping method for initial value problems
    • D. SCHÖTZAU AND C. SCHWAB, An hp a priori error analysis of the DG time-stepping method for initial value problems, Calcolo, 37 (2000), pp. 207-232.
    • (2000) Calcolo , vol.37 , pp. 207-232
    • SCHÖTZAU, D.1    SCHWAB, C.2
  • 19
    • 0034437086 scopus 로고    scopus 로고
    • Time discretization of parabolic problems by the hp-version of the discontinuous Galerkin finite element method
    • D. SCHÖTZAU AND C. SCHWAB, Time discretization of parabolic problems by the hp-version of the discontinuous Galerkin finite element method, SIAM J. Numer. Anal., 38 (2000), pp. 837-875.
    • (2000) SIAM J. Numer. Anal , vol.38 , pp. 837-875
    • SCHÖTZAU, D.1    SCHWAB, C.2
  • 21
    • 0020101847 scopus 로고
    • Membrane locking and reduced integration for curved elements
    • H. STOLARSKI AND T. BELYTSCHKO, Membrane locking and reduced integration for curved elements, J. Appl. Mech., 49 (1982), pp. 172-176.
    • (1982) J. Appl. Mech , vol.49 , pp. 172-176
    • STOLARSKI, H.1    BELYTSCHKO, T.2
  • 23
    • 0001449475 scopus 로고
    • A review of shell finite elements and corotational theories
    • H. STOLARSKI, T. BELYTSCHKO, AND S.-H. LEE, A review of shell finite elements and corotational theories, Comput. Mech. Adv., 2 (1995), pp. 125-212.
    • (1995) Comput. Mech. Adv , vol.2 , pp. 125-212
    • STOLARSKI, H.1    BELYTSCHKO, T.2    LEE, S.-H.3
  • 24
    • 0000849966 scopus 로고
    • On the correction for shear of the differential equation for transverse vibrations of prismatic bars
    • S. P. TIMOSHENKO, On the correction for shear of the differential equation for transverse vibrations of prismatic bars, Philosophical Magazine, 41 (1921), pp. 744-746.
    • (1921) Philosophical Magazine , vol.41 , pp. 744-746
    • TIMOSHENKO, S.P.1
  • 25
    • 0042472734 scopus 로고
    • Arch beam models: Finite element analysis and superconvergence
    • Z. ZHANG, Arch beam models: Finite element analysis and superconvergence, Numer. Math., 61 (1992), pp. 117-143.
    • (1992) Numer. Math , vol.61 , pp. 117-143
    • ZHANG, Z.1
  • 27
    • 21844486758 scopus 로고
    • Locking and robustness in the finite element method for circular arch problem
    • Z. ZHANG, Locking and robustness in the finite element method for circular arch problem, Numer. Math., 69 (1995), pp. 509-522.
    • (1995) Numer. Math , vol.69 , pp. 509-522
    • ZHANG, Z.1
  • 28
    • 0015051922 scopus 로고
    • Reduced integration technique in general analysis of plates and shells
    • O. ZIENKIEWICZ, R. L. TAYLOR, AND J. M. TOO, Reduced integration technique in general analysis of plates and shells, Internat. J. Numer. Methods Engrg., 3 (1971), pp. 275-290.
    • (1971) Internat. J. Numer. Methods Engrg , vol.3 , pp. 275-290
    • ZIENKIEWICZ, O.1    TAYLOR, R.L.2    TOO, J.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.