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Structural engineering and mechanics : An international journal v.35 no.2, 2010년, pp.175 - 190   SCIE 피인용횟수: 1
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New decoupled wavelet bases for multiresolution structural analysis

Wang, Youming    (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University   ); Chen, Xuefeng    (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University   ); He, Yumin    (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University   ); He, Zhengjia    (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University  );
  • 초록

    One of the intractable problems in multiresolution structural analysis is the decoupling computation between scales, which can be realized by the operator-orthogonal wavelets based on the lifting scheme. The multiresolution finite element space is described and the formulation of multiresolution finite element models for structural problems is discussed. Various operator-orthogonal wavelets are constructed by the lifting scheme according to the operators of multiresolution finite element models. A dynamic multiresolution algorithm using operator-orthogonal wavelets is proposed to solve structural problems. Numerical examples demonstrate that the lifting scheme is a flexible and efficient tool to construct operator-orthogonal wavelets for multiresolution structural analysis with high convergence rate.


  • 주제어

    multiresolution finite element .   lifting scheme .   operator-orthogonal wavelet.  

  • 참고문헌 (14)

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    2. Chen, C.M. and Huang, Y.Q. (1995), High Accuracy Theory of Finite Element Methods, Science and Technology Press, Hunan. (in Chinese) 
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    4. Davis, G.M., Strela, V. and Turcajova, R. (1999), Multiwavelet Construction Via the Lifting Scheme, Wavelet Analysis and Multiresolution Methods, Lecture Notes in Pure and Applied Mathematics (Ed. Marcel Dekker), New York. 
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    6. He, Y.M., Chen, X.F., Xiang, J.W. and He, Z.J. (2007), "Adaptive multiresolution finite element method based on second generation wavelets", Finite Elem. Anal. Des., 43, 566-579. 
    7. Ma, J.X., Xue, J.J., Yang, S.J. and He, Z.J. ( 2003), "A study of the construction and application of a Daubechies wavelet-based beam element", Finite Elem. Anal. Des., 39(10), 965-975. 
    8. Mallat, S.G. (1998), A Wavelet Tour of Signal Processing, Academic Press, Boston. 
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    10. Sudarshan, R., Amaratunga, K. and Gratsch, T. (2006), "A combined approach for goal-oriented error estimation and adaptivity using operator-customized finite element wavelets", Int. J. Numer. Meth. Eng., 66, 1002-1035. 
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    13. Wang, X.C. (2002), The Finite Element Methods, Tsing Hua University Press, Beijing. (in Chinese) 
    14. Xiang, J.W., He, Z.J. and Chen, X.F. ( 2007), "Static and vibration analysis of thin plates by using finite element method of B-spline wavelet on the interval", Struct. Eng. Mech., 25(5), 613-629.   
  • 이 논문을 인용한 문헌 (1)

    1. 2011. "" Structural engineering and mechanics : An international journal, 38(6): 733~751   

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