An Adaptive Wavelet Finite Element Method with High-Order B-Spline Basis Functions
In this paper, an adaptive strategy based on a B-spline wavelet Galerkin method is discussed. The authors have developed the wavelet Galerkin Method which utilizes quadratic and cubic B-spline scaling function/wavelet as its basis functions. The developed B-spline Galerkin Method has been proven to be very accurate in the analyses of elastostatics. Then the authors added a capability to adaptively adjust the special resolution of the basis functions by adding the wavelet basis functions where the resolution needs to be enhanced.
S.W. Nam, Y.W. Chang, S.B. Lee and N.J. Kim
S. Tanaka and H. Okada, "An Adaptive Wavelet Finite Element Method with High-Order B-Spline Basis Functions", Key Engineering Materials, Vols. 345-346, pp. 877-880, 2007