메뉴 건너뛰기




Volumn 40, Issue 5-6, 2004, Pages 541-554

The construction of wavelet finite element and its application

Author keywords

Bending plate; Daubechies wavelets; Office paper; Temperature field; Wavelet finite element

Indexed keywords

BENDING (DEFORMATION); FINITE ELEMENT METHOD; LOADS (FORCES); PLATES (STRUCTURAL COMPONENTS); STIFFNESS; TEMPERATURE DISTRIBUTION;

EID: 0347600372     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(03)00077-5     Document Type: Article
Times cited : (159)

References (22)
  • 1
    • 0347570804 scopus 로고
    • Generalized finite element method
    • (in Chinese)
    • Guoping Liang, Jiangheng He Generalized finite element method. Adv. Mech. 25:1995;562-565. (in Chinese).
    • (1995) Adv. Mech. , vol.25 , pp. 562-565
    • Guoping, L.1    Jiangheng, H.2
  • 2
    • 0035280516 scopus 로고    scopus 로고
    • Wavelet methods for PDEs - Some recent developments
    • Dahmen W. Wavelet methods for PDEs - some recent developments. J. Comput. Appl. Math. 128:2001;133-185.
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 133-185
    • Dahmen, W.1
  • 4
    • 0010887193 scopus 로고
    • Orthonormal wavelets, analysis of operators and applications to numerical analysis
    • C. Chui. New York: Academic Press
    • Jaffard S., Laurencot P. Orthonormal wavelets, analysis of operators and applications to numerical analysis. Chui C. Wavelets: A Tutorial in Theory and Applications. 1992;543-601 Academic Press, New York.
    • (1992) Wavelets: A Tutorial in Theory and Applications , pp. 543-601
    • Jaffard, S.1    Laurencot, P.2
  • 5
    • 0029342725 scopus 로고
    • A class of finite element methods based on orthonormal compactly supported wavelets
    • Ko J., Kurdila A.J. A class of finite element methods based on orthonormal compactly supported wavelets. Comput. Mech. 16:1995;235-244.
    • (1995) Comput. Mech. , vol.16 , pp. 235-244
    • Ko, J.1    Kurdila, A.J.2
  • 6
    • 0027574359 scopus 로고
    • Using the refinement equation for evaluating integrals of wavelets
    • Danmen W., Micchelli C.A. Using the refinement equation for evaluating integrals of wavelets. SIAM J. Numer. Anal. 30:1993;507-537.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 507-537
    • Danmen, W.1    Micchelli, C.A.2
  • 7
    • 0030242748 scopus 로고    scopus 로고
    • The computation of wavelet-Galerkin approximation on a bounded interval
    • Chen M.Q., Hwang C., Shih Y.P. The computation of wavelet-Galerkin approximation on a bounded interval. Int. J. Numer. Methods Eng. 39:1996;2921-2944.
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 2921-2944
    • Chen, M.Q.1    Hwang, C.2    Shih, Y.P.3
  • 8
    • 0032364927 scopus 로고    scopus 로고
    • Orthonormal wavelet bases adapted for partial differential equations with boundary conditions
    • Monasse P., Perrier V. Orthonormal wavelet bases adapted for partial differential equations with boundary conditions. SIAM J. Math. Anal. 29:1998;1040-1065.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1040-1065
    • Monasse, P.1    Perrier, V.2
  • 9
    • 0037702901 scopus 로고    scopus 로고
    • A study of the construction and application of a Daubechies wavelet-based beam element
    • in press [doi:10.1016/S0168-874X(02)00141-5]
    • J. Ma, J. Xue, S. Yang, Z. He, A study of the construction and application of a Daubechies wavelet-based beam element, Finite Elements Anal. Design, in press [doi:10.1016/S0168-874X(02)00141-5].
    • Finite Elements Anal. Design
    • Ma, J.1    Xue, J.2    Yang, S.3    He, Z.4
  • 11
    • 0026686049 scopus 로고
    • Singularity detection and processing with wavelets
    • Mallat S., Liang Hwang Wen Singularity detection and processing with wavelets. IEEE Trans. Inf. Theory. 38:1992;617-643.
    • (1992) IEEE Trans. Inf. Theory , vol.38 , pp. 617-643
    • Mallat, S.1    Liang Hwang, W.2
  • 12
    • 84990575058 scopus 로고
    • Orthonormal basis of compactly supported wavelets
    • Daubechies I. Orthonormal basis of compactly supported wavelets. Commun. Pure Appl. Math. 41:1988;909-996.
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 13
    • 0000910653 scopus 로고    scopus 로고
    • Recent results in wavelet applications
    • Daubechies I. Recent results in wavelet applications. J. Electron. Imaging. 7:1998;719-724.
    • (1998) J. Electron. Imaging , vol.7 , pp. 719-724
    • Daubechies, I.1
  • 14
    • 0026995365 scopus 로고
    • On the representation of operators in bases of compactly supported wavelets
    • Beylkin G. On the representation of operators in bases of compactly supported wavelets. SIMA J. Numer. Anal. 6:1992;1716-1740.
    • (1992) SIMA J. Numer. Anal. , vol.6 , pp. 1716-1740
    • Beylkin, G.1
  • 16
    • 0022100808 scopus 로고
    • A triangular membrane element with rotational degrees of freedom
    • Bergan P.G., Felippa C.A. A triangular membrane element with rotational degrees of freedom. Comput. Methods Appl. Mech. Eng. 50:1985;25-69.
    • (1985) Comput. Methods Appl. Mech. Eng. , vol.50 , pp. 25-69
    • Bergan, P.G.1    Felippa, C.A.2
  • 17
    • 0037999666 scopus 로고
    • Improved two-dimensional finite element
    • Cook R.D. Improved two-dimensional finite element. J. Struct. Division. 100:1974;1851-1863.
    • (1974) J. Struct. Division , vol.100 , pp. 1851-1863
    • Cook, R.D.1
  • 19
    • 0026287673 scopus 로고
    • Accuracy and adaptivity in FE analysis: The changing face of practical computations
    • Y.K. Cheung. Balkema: Rotterdam
    • Zienkiewicz O.C., Zhu J.Z. Accuracy and adaptivity in FE analysis: the changing face of practical computations. Cheung Y.K. Computational Mechanics. 1991;3-12 Rotterdam, Balkema.
    • (1991) Computational Mechanics , pp. 3-12
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 20
    • 0034216911 scopus 로고    scopus 로고
    • Damping property of free vibration for office equipment paper
    • (in Chinese)
    • Shengjun Yang, Junxing Ma, Zhengjia He Damping property of free vibration for office equipment paper. J Xi'an Jiaotong University. 34:2000;48-51. (in Chinese).
    • (2000) J Xi'an Jiaotong University , vol.34 , pp. 48-51
    • Shengjun, Y.1    Junxing, M.2    Zhengjia, H.3
  • 21
    • 0034261669 scopus 로고    scopus 로고
    • Mechanical properties of office paper analyzed by using nonlinear finite element method
    • (in Chinese)
    • Junxing Ma, Shengjun Yang, Zhengjia He, et al. Mechanical properties of office paper analyzed by using nonlinear finite element method. J. Xi'an Jiaotong University. 34:2000;67-71. (in Chinese).
    • (2000) J. Xi'an Jiaotong University , vol.34 , pp. 67-71
    • Junxing, M.1    Shengjun, Y.2    Zhengjia, H.3
  • 22
    • 0035501068 scopus 로고    scopus 로고
    • Wavelet-Galerkin method for solving parabolic equations in finite domains
    • Ho S.L., Yang S.Y. Wavelet-Galerkin method for solving parabolic equations in finite domains. Finite Elements Anal. Design. 37:2001;1023-1037.
    • (2001) Finite Elements Anal. Design , vol.37 , pp. 1023-1037
    • Ho, S.L.1    Yang, S.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.