Title :
The numerical solution of elliptic problems using compactly supported wavelets
Author :
Hutchcraft, W. Elliott ; Harrison, Lee A. ; Gordon, Richard K. ; Lee, Jin-Fa
Author_Institution :
Dept. of Electr. Eng., Mississippi Univ., MS, USA
Abstract :
The use of wavelet and wavelet-like basis functions in the finite element analysis of one dimensional problems in which Neumann boundary conditions are specified at both boundaries is presented. Construction of both the wavelet and wavelet-like basis functions is discussed. Results obtained from a finite element algorithm employing the wavelet and wavelet-like basis functions are compared to the analytic solution
Keywords :
boundary-value problems; finite element analysis; functions; Neumann boundary conditions; analytic solution; compactly supported wavelets; elliptic problems; finite element analysis; numerical solution; one dimensional problems; wavelet-like basis functions; Algorithm design and analysis; Boundary conditions; Finite element methods; Frequency domain analysis; Integral equations; Multiresolution analysis; Sampling methods; Signal analysis; Wavelet analysis; Wavelet domain;
Conference_Titel :
System Theory, 1998. Proceedings of the Thirtieth Southeastern Symposium on
Conference_Location :
Morgantown, WV
Print_ISBN :
0-7803-4547-9
DOI :
10.1109/SSST.1998.660027
