Abstract
The refinability and approximation order of finite element multi-scale vector are discussed in [1]. But the coefficients in the conditions of approximation order of finite element multi-scale vector are incorrect there. The main purpose of this note is to make a correction of the error in the main result of [1]. These coefficients are very important for the properties of wavelets, such as vanishing moments and regularity.
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References
G. Strang, V. Strela. Finite Element Multiwavelets. Approximation Theory, Wavelets and Applications, S.P. Singh ed., Klumer Academic Publ., Netherland, 1995, 485–496
T.N.T. Goodman, S.L. Lee, W.S. Tang. Wavelets in Wandering Subspaces.Trans. Amer. Math. Soc., 1993 338: 639–654
T.N.T. Goodman, S.L. Lee. Wavelets of Multiplicityr.Trans. Amer. Math. Soc., 1994, 342: 307–324
T.N.T. Goodman. Interpolatory Hermite Spline Wavelets.J.A.T, 1994, 78: 174–189
J.S. Geronimo, D.P. Hardin, P.R. Massopust. Fractal Functions and Wavelet Expansions Based on Several Scaling Functions.J.A.T, 1994, 78: 373–401
G. Strang, V. Strela. Short Wavelets and Matrix Dilation Equations.IEEE Trans. on Signal Proc., 1995, 43: 108–115
C. Heil, G. Strang, V. Strela. Approximation by Translates of Refinable Functions.Numer. Math., 1996, 73: 75–94
V. Strela. Multiwavelet: Theory and Applications. Ph.D. Thesis, Massachusetts Institute of Technology, 1996
P. Massopust, D. Ruch, P. Van Fleet. On the Support Properties of Scaling Vectors. Texas A & M University, CAT Report, 1994, 335
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Qiuhui, S., Hanlin, C. A note on finite element wavelets. Acta Mathematicae Applicatae Sinica 17, 517–525 (2001). https://doi.org/10.1007/BF02669705
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DOI: https://doi.org/10.1007/BF02669705