First, simply account definition of one dimensional multiresolution analysis,Daubechies wavelets,Battle-Lemarie wavelets family and two dimensional multiresolution analysis. Let three B-spline function orthonormalization as scaling function, then obtain corresponding Daubechies spline wavelets and summarize relevance feature. Give out scaling function,wavelet function,their one derivative,two derivative graph and amount at some spot on their correspondence zone.Second, make tensor product formal Daubechies spline wavelets as interpolation function, then give out it correspondence scaling function and wavelet basic function correspondence some function graph.Finally, apply tensor product formal Daubechies spline wavelets to Flat shell warp problem finite element method. Obtain Flat shell problem variational equation, make product formal Daubechies spline wavelets as interpolation function discrete variational equation get stiffness matrix equation. Parse correspondence coefficient matrix; provide concrete numerical example, and gain better result.
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