1 |
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.
DOI
ScienceOn
|
2 |
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.
DOI
ScienceOn
|
3 |
Mallat, S.G. (1998), A Wavelet Tour of Signal Processing, Academic Press, Boston.
|
4 |
Pinho, P., Ferreira, P.J.S.G. and Pereira, J.R. (2004), "Multiresolution analysis using biorthogonal and interpolating wavelets", IEEE Antenn. Propag. Soc. Symp., 2, 1483-1486.
|
5 |
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.
DOI
ScienceOn
|
6 |
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.
|
7 |
Castrillon-Candas, J. and Amaratunga, K. (2003), "Spatially adapted multiwavelets and sparse representation of integral equations on general geometries", SIAM J. Sci. Comput., 24(5), 1530-1566.
DOI
ScienceOn
|
8 |
Chen, C.M. and Huang, Y.Q. (1995), High Accuracy Theory of Finite Element Methods, Science and Technology Press, Hunan. (in Chinese)
|
9 |
Chen, X.F., Yang, S.J. and He, Z.J. (2004), "The construction of wavelet finite element and its application", Finite Elem. Anal. Des., 40, 541-554.
DOI
ScienceOn
|
10 |
Sweldens, W. (1997), "The lifting scheme: a construction of second generation wavelets", SIAM J. Math. Anal., 29(2), 511-546.
|
11 |
Vasilyev, O.V. and Bowman, C. (2000), "Second generation wavelet collocation method for the solution of partial differential equations", J. Commun. Phys., 165, 660-693.
DOI
ScienceOn
|
12 |
Wang, X.C. (2002), The Finite Element Methods, Tsing Hua University Press, Beijing. (in Chinese)
|
13 |
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.
DOI
|
14 |
D'Heedene, S., Amaratunga, K. and Castrillón-Candás, J. (2005) "Generalized hierarchical bases: a Wavelet- Ritz-Galerkin framework for Lagrangian FEM", Eng. Comput., 22(1), 15-37.
DOI
ScienceOn
|