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Volumn 23, Issue 1, 2008, Pages 1-12

A class of wavelet-based flat shell elements using B-spline wavelet on the interval and its applications

Author keywords

B spline wavelet on the interval; Flat shell element; Folded plate; Shell; Wavelet based element

Indexed keywords

APPROXIMATION THEORY; ELASTOMERS; FINITE ELEMENT METHOD; GALERKIN METHODS; MATHEMATICAL TRANSFORMATIONS;

EID: 39049086677     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (32)
  • 1
    • 33749851268 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems
    • Atluri, S.N.; Liu, H.T.; Han, Z.D. (2006a): Meshless Local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. CMES: Computer Modeling in Engineering and Sciences, vol. 14, pp. 141-152.
    • (2006) CMES: Computer Modeling in Engineering and Sciences , vol.14 , pp. 141-152
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 2
    • 33749874042 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics
    • Atluri, S.N.; Liu, H.T.; Han, Z.D. (2006b): Meshless Local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. CMES: Computer Modeling in Engineering and Sciences, vol. 15, pp. 1-16.
    • (2006) CMES: Computer Modeling in Engineering and Sciences , vol.15 , pp. 1-16
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 3
    • 33749866016 scopus 로고    scopus 로고
    • The applications of Meshless Local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems
    • Han, Z.D.; Liu, H.T.; Rajendran, A.M.; Atluri, S.N. (2006): The applications of Meshless Local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems. CMES: Computer Modeling in Engineering and Sciences, vol. 14, pp. 119-128.
    • (2006) CMES: Computer Modeling in Engineering and Sciences , vol.14 , pp. 119-128
    • Han, Z.D.1    Liu, H.T.2    Rajendran, A.M.3    Atluri, S.N.4
  • 8
    • 0012377750 scopus 로고    scopus 로고
    • The wavelet element method part II: Realization and additional feature in 2D and 3D
    • Canuto, C.; Tabacco, A. and Urban, K. (2000): The wavelet element method part II: realization and additional feature in 2D and 3D. Applied and Computational Harmonic Analysis, vol.8, pp. 123-165.
    • (2000) Applied and Computational Harmonic Analysis , vol.8 , pp. 123-165
    • Canuto, C.1    Tabacco, A.2    Urban, K.3
  • 9
    • 0031069391 scopus 로고    scopus 로고
    • Stable multiscale bases and local error estimation for elliptic problems
    • Dahlke, S.; Dahmen, W.; Hochmulth, R. et al. (1997): Stable multiscale bases and local error estimation for elliptic problems. App. Numer Math, vol. 23, pp. 21-47.
    • (1997) App. Numer Math , vol.23 , pp. 21-47
    • Dahlke, S.1    Dahmen, W.2    Hochmulth, R.3
  • 10
    • 0029342725 scopus 로고
    • A class of finite element methods based on orthonormal, compactly supported wavelets
    • Ko, J.; Kurdila, A. J.; Pilant, M.S. (1995): A class of finite element methods based on orthonormal, compactly supported wavelets. Computational Mechanics, vol. 16, pp. 235-244.
    • (1995) Computational Mechanics , vol.16 , pp. 235-244
    • Ko, J.1    Kurdila, A.J.2    Pilant, M.S.3
  • 11
    • 0029289060 scopus 로고
    • A spline wavelets element method for frame structures vibration
    • Chen, W.H.; Wu, C.W. (1995): A spline wavelets element method for frame structures vibration. Computational Mechanics, vol. 16, pp. 11-21.
    • (1995) Computational Mechanics , vol.16 , pp. 11-21
    • Chen, W.H.1    Wu, C.W.2
  • 12
    • 0030148710 scopus 로고    scopus 로고
    • Extension of spline wavelets element method to membrane vibration analysis
    • Chen, W.H.; Wu, C.W. (1996a): Extension of spline wavelets element method to membrane vibration analysis. Computational Mechanics, vol. 18, pp. 46-54.
    • (1996) Computational Mechanics , vol.18 , pp. 46-54
    • Chen, W.H.1    Wu, C.W.2
  • 14
    • 0032217559 scopus 로고    scopus 로고
    • Application of wavelet Galerkin FEM to bending of beam and plate structures
    • Zhou, Y.H.; Wang, J.Z.; Zheng, X.J. (1998): Application of wavelet Galerkin FEM to bending of beam and plate structures. Appl. Math. Mech, vol.19, pp.697-706.
    • (1998) Appl. Math. Mech , vol.19 , pp. 697-706
    • Zhou, Y.H.1    Wang, J.Z.2    Zheng, X.J.3
  • 15
    • 0042825236 scopus 로고    scopus 로고
    • Higher-order modeling of continua by finite-element, boundary-element, Meshless, and wavelet methods
    • Basu, P.K.; Jorge, A.B.; Badri, S. et al. (2003): Higher-order modeling of continua by finite-element, boundary-element, Meshless, and wavelet methods. Computers and Mathematics with Application, vol. 46, pp. 15-33.
    • (2003) Computers and Mathematics with Application , vol.46 , pp. 15-33
    • Basu, P.K.1    Jorge, A.B.2    Badri, S.3
  • 16
    • 0037702901 scopus 로고    scopus 로고
    • A study of the construction and application of a Daubechies wavelet-based beam element
    • Ma J.X.; Xue, J.J.; He, Z.J. et al. (2003). A study of the construction and application of a Daubechies wavelet-based beam element. Finite Element in Analysis and Design, vol. 39, pp. 965975.
    • (2003) Finite Element in Analysis and Design , vol.39 , pp. 965975
    • Ma, J.X.1    Xue, J.J.2    He, Z.J.3
  • 17
    • 0347600372 scopus 로고    scopus 로고
    • The construction of wavelet finite element and its application
    • Chen, X.F.; Yang, S.J.; He, Z.J. et al. (2004): The construction of wavelet finite element and its application. Finite Element in Analysis and Design, vol. 40, pp. 541-554.
    • (2004) Finite Element in Analysis and Design , vol.40 , pp. 541-554
    • Chen, X.F.1    Yang, S.J.2    He, Z.J.3
  • 18
    • 17644387554 scopus 로고    scopus 로고
    • A multivariable wavelet-based finite element method and its application to thick plates
    • Han, J.G.; Ren, W.X.; Huang, Y. (2005): A multivariable wavelet-based finite element method and its application to thick plates. Finite Element in Analysis and Design, vol. 41, pp. 821-833.
    • (2005) Finite Element in Analysis and Design , vol.41 , pp. 821-833
    • Han, J.G.1    Ren, W.X.2    Huang, Y.3
  • 19
    • 33749833391 scopus 로고    scopus 로고
    • Wavelet based 2-D spectral finite element formulation for wave propagation analysis in isotropic plates
    • Mitra, M.; Gopalakrishnan, S. (2006). Wavelet based 2-D spectral finite element formulation for wave propagation analysis in isotropic plates. CMES: Computer Modeling in Engineering and Sciences, vol. 15, pp. 49-67.
    • (2006) CMES: Computer Modeling in Engineering and Sciences , vol.15 , pp. 49-67
    • Mitra, M.1    Gopalakrishnan, S.2
  • 20
    • 33748036752 scopus 로고    scopus 로고
    • The Construction of plane elastomechanics and Mindlin plate elements of B-spline wavelet on the interval
    • Xiang, J.W.; Chen, X.F.; He,Y.M.; He, Z.J. (2006a): The Construction of plane elastomechanics and Mindlin plate elements of B-spline wavelet on the interval. Finite Element in Analysis and Design, vol. 42, pp. 1269-1280.
    • (2006) Finite Element in Analysis and Design , vol.42 , pp. 1269-1280
    • Xiang, J.W.1    Chen, X.F.2    He, Y.M.3    He, Z.J.4
  • 21
    • 35148898672 scopus 로고    scopus 로고
    • The construction of wavelet-based truncated conical shell element using B-spline wavelet on the interval
    • Xiang, J.W.; He, Z.J.; Chen, X.F. (2006b): The construction of wavelet-based truncated conical shell element using B-spline wavelet on the interval. Acta Mechanica Solida Sinica, vol.19 pp.316-326.
    • (2006) Acta Mechanica Solida Sinica , vol.19 , pp. 316-326
    • Xiang, J.W.1    He, Z.J.2    Chen, X.F.3
  • 22
    • 34247550722 scopus 로고    scopus 로고
    • The construction of ID wavelet finite elements for structural analysis
    • Xiang, J.W.; Chen, X.F.; He, Z.J.; Dong, H.B. (2007): The construction of ID wavelet finite elements for structural analysis. Computational Mechanics, vol. 40, pp. 325-339.
    • (2007) Computational Mechanics , vol.40 , pp. 325-339
    • Xiang, J.W.1    Chen, X.F.2    He, Z.J.3    Dong, H.B.4
  • 23
    • 17244366515 scopus 로고    scopus 로고
    • He, Z.J.; Chen, X.F. (2005): Advanced in theory study and engineering application of wavelet finite element. Chinese Journal of Mechanical Engineering, 41, pp.1-11.(In Chinese)
    • He, Z.J.; Chen, X.F. (2005): Advanced in theory study and engineering application of wavelet finite element. Chinese Journal of Mechanical Engineering, vol. 41, pp.1-11.(In Chinese)
  • 24
    • 1542677294 scopus 로고    scopus 로고
    • Cubic Spline wavelet bases of Sobolev spaces and multilevel interpolation
    • Wang, J.Z. (1996): Cubic Spline wavelet bases of Sobolev spaces and multilevel interpolation. Applied and Computational Harmonic Analysis, vol. 3, pp. 154-163.
    • (1996) Applied and Computational Harmonic Analysis , vol.3 , pp. 154-163
    • Wang, J.Z.1
  • 25
    • 85013551199 scopus 로고
    • Wavelet methods for the numerical solution of boundary value problems on the interval
    • Chui, C.K, Montefusco, L. and Puccio, L.eds, Academic Press, Inc, London, pp
    • Bertoluzza, S.; Naldi, G.; Ravel, J.C. (1994): Wavelet methods for the numerical solution of boundary value problems on the interval. Wavelets: Theory, Algorithms, and Applications. Chui, C.K.; Montefusco, L. and Puccio, L.(eds.). Academic Press, Inc., London, pp.425-448.
    • (1994) Wavelets: Theory, Algorithms, and Applications , pp. 425-448
    • Bertoluzza, S.1    Naldi, G.2    Ravel, J.C.3
  • 27
    • 0028444526 scopus 로고
    • Decomposition and Reconstruction algorithms for spline wavelets on a Bounded interval
    • Quak, E.; Weyrichm N. (1994): Decomposition and Reconstruction algorithms for spline wavelets on a Bounded interval. Applied and Computational Harmonic Analysis, vol. 3, pp. 217-231.
    • (1994) Applied and Computational Harmonic Analysis , vol.3 , pp. 217-231
    • Quak, E.1    Weyrichm, N.2
  • 28
  • 32
    • 0023167109 scopus 로고
    • Static analysis of cylinder shells by using B-spline functions
    • Shen, P.C.; Wang, J.G. (1987): Static analysis of cylinder shells by using B-spline functions. Computers & Structures, vol. 25, pp. 809-816.
    • (1987) Computers & Structures , vol.25 , pp. 809-816
    • Shen, P.C.1    Wang, J.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.