Title :
Finite element analysis of boundary value problems using wavelet-like basis functions
Author :
Harrison, Lee A. ; Gordon, Richard K.
Author_Institution :
Dept. of Electr. Eng., Mississippi Univ., University, MS, USA
fDate :
31 Mar-2 Apr 1996
Abstract :
In this paper the use of wavelet-like basis functions in the finite element analysis of one dimensional problems in which a Dirichlet boundary condition is specified at one boundary and a Neumann boundary condition is specified at the other, is presented. Construction of these types of basis functions for the mixed type boundary conditions is discussed. The condition numbers of the resulting matrices, along with the number of steps required for convergence of the conjugate gradient solution are presented. For comparison, results obtained from a finite element algorithm employing traditional basis functions are also presented
Keywords :
boundary-value problems; conjugate gradient methods; convergence of numerical methods; finite element analysis; matrix algebra; Dirichlet boundary condition; Neumann boundary condition; boundary value problems; condition numbers; conjugate gradient solution; convergence; finite element analysis; mixed type boundary conditions; one dimensional problems; wavelet-like basis functions; Boundary conditions; Boundary value problems; Computational electromagnetics; Equations; Finite element methods; Frequency domain analysis; Sampling methods; Time frequency analysis; Wavelet analysis; Wavelet domain;
Conference_Titel :
System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on
Conference_Location :
Baton Rouge, LA
Print_ISBN :
0-8186-7352-4
DOI :
10.1109/SSST.1996.493480
