메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages

Parametric structural shape and topology optimization method with radial basis functions and level-set method

Author keywords

Level set method; Radial basis function; Topology optimization; Velocity extension

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FUNCTION EVALUATION; NUMERICAL ANALYSIS; PROBLEM SOLVING; VELOCITY;

EID: 33751312520     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2006-99294     Document Type: Conference Paper
Times cited : (14)

References (22)
  • 4
    • 44749084234 scopus 로고
    • Front propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • S. Osher and J. A. Sethian. Front propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, 78: 12-49. 1988.
    • (1988) Journal of Computational Physics , vol.78 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 5
    • 0001176192 scopus 로고    scopus 로고
    • Structural boundary design via level set and immersed interface methods
    • J. A. Sethian and A. Wiegmann. Structural boundary design via level set and immersed interface methods. Journal of Computational Physics. 163(2): 489-528, 2000.
    • (2000) Journal of Computational Physics , vol.163 , Issue.2 , pp. 489-528
    • Sethian, J.A.1    Wiegmann, A.2
  • 6
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • G. Allaire, F. Jouve, and A. M. Toader. Structural optimization using sensitivity analysis and a level-set method. Journal of Computational Physics, 194:363-393. 2004.
    • (2004) Journal of Computational Physics , vol.194 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.M.3
  • 8
    • 8344270354 scopus 로고    scopus 로고
    • PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization
    • M. Y Wang and X. Wang. PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization. Computer Modeling in Engineering & Sciences, 6(4):373-395, 2004.
    • (2004) Computer Modeling in Engineering & Sciences , vol.6 , Issue.4 , pp. 373-395
    • Wang, M.Y.1    Wang, X.2
  • 10
    • 0000653948 scopus 로고    scopus 로고
    • Level-set methods for optimization problems involving geometry and constraints: Frequencies of a two-density inhomogeneous drum
    • S. Osher and F. Santosa. Level-set methods for optimization problems involving geometry and constraints: Frequencies of a two-density inhomogeneous drum. Journal of Computational Physics, 171:272-288, 2001.
    • (2001) Journal of Computational Physics , vol.171 , pp. 272-288
    • Osher, S.1    Santosa, F.2
  • 12
    • 0842312288 scopus 로고    scopus 로고
    • Incorporating topological derivatives into level set methods
    • Martin Burger, Benjamin Hackl, and Wolfgang Ring. Incorporating topological derivatives into level set methods. Journal of Computational Physics, 194:344-362, 2004.
    • (2004) Journal of Computational Physics , vol.194 , pp. 344-362
    • Burger, M.1    Hackl, B.2    Ring, W.3
  • 18
    • 84968515237 scopus 로고
    • Scattered data interpolation: Tests of some methods
    • R. Franke. Scattered data interpolation: Tests of some methods. Mathematics of Computation, 38:181-200, 1982.
    • (1982) Mathematics of Computation , vol.38 , pp. 181-200
    • Franke, R.1
  • 21
    • 33644844464 scopus 로고    scopus 로고
    • A moving superimposed finite element method for structural topology optimization
    • S. Y. Wang, M. Y. Wang, A moving superimposed finite element method for structural topology optimization. International Journal for Numerical Methods in Engineering, 65(11): 1892-1922, 2005.
    • (2005) International Journal for Numerical Methods in Engineering , vol.65 , Issue.11 , pp. 1892-1922
    • Wang, S.Y.1    Wang, M.Y.2
  • 22
    • 6344259194 scopus 로고    scopus 로고
    • Fast evaluation of radial basis functions: Methods based on partition of unity
    • Vanderbilt University Press, Nashville, Charles K. Chui, Larry L. Schumaker, and Joachim Stockler (eds.)
    • H. Wendland, Fast evaluation of radial basis functions: Methods based on partition of unity. In Approximation Theory X: Wavelets, Splines, and Applications, Vanderbilt University Press, Nashville, Charles K. Chui, Larry L. Schumaker, and Joachim Stockler (eds.), 473-483, 2002.
    • (2002) Approximation Theory X: Wavelets, Splines, and Applications , pp. 473-483
    • Wendland, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.