Title
Preconditioning C1 Lagrange polynomial spline collocation method of elliptic equations by finite element method
Abstract
This paper studies a preconditioning polynomial spline collocation method for an elliptic differential equation by a finite element stiffness matrix. For which, we first show that the decay rate of the C1 Lagrange polynomial spline increases with increasing degree and second show that the distribution of eigenvalues for the established preconditioning system is well bounded in terms of the number of unknowns for a fixed degree of polynomial spline.
Year
DOI
Venue
2002
10.1016/S0096-3003(01)00218-1
Applied Mathematics and Computation
Keywords
Field
DocType
finite element method,collocation method,eigenvalues,differential equation,elliptic equation,finite element,decay rate
Spline (mathematics),Lagrange polynomial,Mathematical optimization,Thin plate spline,Spline interpolation,Hermite spline,Mathematical analysis,Orthogonal collocation,Smoothing spline,Matrix polynomial,Mathematics
Journal
Volume
Issue
ISSN
132
2-3
0096-3003
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Sang Dong Kim1359.22
Byeong Chun Shin272.56