Translator Disclaimer
Paper
11 October 1994 Finite element multiwavelets
Author Affiliations +
Abstract
Finite elements with support on two intervals span the space of piecewise polynomomials with degree 2 n - 1 and n - 1 continuous derivatives. Function values and n - 1 derivatives at each meshpoint determine these `Hermite finite elements'. The n basis functions satisfy a dilation equation with n by n matrix coefficients. Orthogonal to this scaling subspace is a wavelet subspace. It is spanned by the translates of n wavelets Wi(t), each supported on three intervals. The wavelets are orthogonal to all rescalings Wi(2jt-k), but not to translates at the same level (j equals 0). These new multiwavelets achieve 2 n vanishing moments and high regularity with symmetry and short support.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Vasily Strela and Gilbert Strang "Finite element multiwavelets", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); https://doi.org/10.1117/12.188771
PROCEEDINGS
12 PAGES


SHARE
Advertisement
Advertisement
RELATED CONTENT

Quasi-symmetric designs and equiangular tight frames
Proceedings of SPIE (August 24 2015)
Block Toeplitz-like operators and multiwavelets
Proceedings of SPIE (April 06 1995)
Class of discrete Gabor expansion
Proceedings of SPIE (March 15 1994)
Will Finite Elements Replace Structural Mechanics?
Proceedings of SPIE (January 05 1984)

Back to Top