메뉴 건너뛰기




Volumn 40, Issue 23, 2003, Pages 6473-6496

Adaptive multiscale wavelet-Galerkin analysis for plane elasticity problems and its applications to multiscale topology design optimization

Author keywords

Multiresolution; Multiscales; Topology optimization; Wavelet Galerkin analysis

Indexed keywords

GALERKIN METHODS; INTERPOLATION; OPTIMIZATION;

EID: 0141795403     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00417-7     Document Type: Article
Times cited : (55)

References (29)
  • 2
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • Bendsøe M.P. Kikuchi N. Generating optimal topologies in structural design using a homogenization method Comput. Methods Appl. Mech. Engng. 71 1988 197-224
    • (1988) Comput. Methods Appl. Mech. Engng. , vol.71 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 3
    • 0001241926 scopus 로고    scopus 로고
    • Material interpolation schemes in topology optimization
    • Bendsøe M.P. Sigmund O. Material interpolation schemes in topology optimization Arch. Appl. Mech. 69 1999 635-654
    • (1999) Arch. Appl. Mech. , vol.69 , pp. 635-654
    • Bendsøe, M.P.1    Sigmund, O.2
  • 5
    • 0002228719 scopus 로고    scopus 로고
    • A wavelet collocation method for the numerical solution of partial differential equations
    • Bertoluzza S. Naldi G. A wavelet collocation method for the numerical solution of partial differential equations Appl. Comput. Harmonic Anal. 3 1996 1-9
    • (1996) Appl. Comput. Harmonic Anal. , vol.3 , pp. 1-9
    • Bertoluzza, S.1    Naldi, G.2
  • 6
    • 37949010323 scopus 로고    scopus 로고
    • An adaptive collocation method based on interpolating wavelets
    • W. Dahmen, A. J. Kurdila, & P. Oswald (Eds.), San Diego: Academic Press
    • Bertoluzza S. An adaptive collocation method based on interpolating wavelets Dahmen W. Kurdila A.J. Oswald P. Multiscale Wavelet Methods for PDEs 1997 109-135 Academic Press San Diego
    • (1997) Multiscale Wavelet Methods for PDEs , pp. 109-135
    • Bertoluzza, S.1
  • 7
    • 0027874676 scopus 로고
    • Multiresolution representations using the autocorrelation functions of compactly supported wavelets
    • Beylkin G. Saito N. Multiresolution representations using the autocorrelation functions of compactly supported wavelets IEEE Trans. Signal Process. 41 1993 3584-3590
    • (1993) IEEE Trans. Signal Process. , vol.41 , pp. 3584-3590
    • Beylkin, G.1    Saito, N.2
  • 8
    • 0033892582 scopus 로고    scopus 로고
    • The numerical performance of wavelets for PDEs: The multi-scale finite element
    • Christon M.A. Roach D.W. The numerical performance of wavelets for PDEs: the multi-scale finite element Comput. Mech. 25 2000 230-244
    • (2000) Comput. Mech. , vol.25 , pp. 230-244
    • Christon, M.A.1    Roach, D.W.2
  • 10
    • 0033297111 scopus 로고    scopus 로고
    • Wavelet methods for second order elliptic problems-preconditioning and adaptivity
    • Cohen A. Masson R. Wavelet methods for second order elliptic problems-preconditioning and adaptivity SIAM J. Sci. Comput. 21 1999 1006-1026
    • (1999) SIAM J. Sci. Comput. , vol.21 , pp. 1006-1026
    • Cohen, A.1    Masson, R.2
  • 11
    • 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
  • 13
    • 0033116607 scopus 로고    scopus 로고
    • A wavelet-Galerkin scheme for analysis of large-scale problems on simple domains
    • Diaz A.R. A wavelet-Galerkin scheme for analysis of large-scale problems on simple domains Int. J. Numer. Methods Engng. 44 1999 1599-1616
    • (1999) Int. J. Numer. Methods Engng. , vol.44 , pp. 1599-1616
    • Diaz, A.R.1
  • 15
    • 0000905135 scopus 로고    scopus 로고
    • Topology optimization of continuous structures: A review
    • Eshenauer H.A. Olhoff N. Topology optimization of continuous structures: a review Appl. Mech. Rev. 54 4 2001 331-389
    • (2001) Appl. Mech. Rev. , vol.54 , Issue.4 , pp. 331-389
    • Eshenauer, H.A.1    Olhoff, N.2
  • 18
    • 0345874460 scopus 로고    scopus 로고
    • Multiscale Galerkin method using interpolation wavelets for two-dimensional elliptic problems in general domains
    • in press
    • Jang, G.W., Kim, J.E., Kim, Y.Y., 2003. Multiscale Galerkin method using interpolation wavelets for two-dimensional elliptic problems in general domains. Int. J. Numer. Methods Engng., in press
    • (2003) Int. J. Numer. Methods Engng.
    • Jang, G.W.1    Kim, J.E.2    Kim, Y.Y.3
  • 19
    • 0037051066 scopus 로고    scopus 로고
    • Interpolation wavelet-based multi-scale Galerkin method for thin-walled box beam analysis
    • Kim Y.Y. Jang G.W. Interpolation wavelet-based multi-scale Galerkin method for thin-walled box beam analysis Int. J. Numer. Methods Engng. 53 2002 1575-1592
    • (2002) Int. J. Numer. Methods Engng. , vol.53 , pp. 1575-1592
    • Kim, Y.Y.1    Jang, G.W.2
  • 20
    • 0033683401 scopus 로고    scopus 로고
    • Multi-resolution multi-scale topology optimization--a new paradigm
    • Kim Y.Y. Yoon G.H. Multi-resolution multi-scale topology optimization--a new paradigm Int. J. Solids Struct. 37 2000 5529-5559
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 5529-5559
    • Kim, Y.Y.1    Yoon, G.H.2
  • 23
    • 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 4 1998 1040-1065
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.4 , pp. 1040-1065
    • Monasse, P.1    Perrier, V.2
  • 24
    • 0037196186 scopus 로고    scopus 로고
    • Topology optimization in wavelet space
    • Poulsen T.A. Topology optimization in wavelet space Int. J. Numer. Methods Engng. 53 2002 567-582
    • (2002) Int. J. Numer. Methods Engng. , vol.53 , pp. 567-582
    • Poulsen, T.A.1
  • 28
    • 0141813299 scopus 로고    scopus 로고
    • Hinge-free topology optimization with an embedded translation-invariant wavelet shrinkage method
    • in press
    • Yoon, G.H., Kim, Y.Y., Bendsøe, M.P., Sigmund, O., 2003. Hinge-free topology optimization with an embedded translation-invariant wavelet shrinkage method, Struct. Optim., in press
    • (2003) Struct. Optim.
    • Yoon, G.H.1    Kim, Y.Y.2    Bendsøe, M.P.3    Sigmund, O.4
  • 29
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
    • Zienkiewicz O.C. Zhu J.Z. The superconvergent patch recovery and a posteriori error estimates. Part 1: the recovery technique Int. J. Numer. Mech. Engng. 33 1992 1331-1364
    • (1992) Int. J. Numer. Mech. Engng. , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.