Title
A sparse finite element method with high accuracy part I
Abstract
Summary.   In this paper, we develop and analyze a new finite element method called the sparse finite element method for second order elliptic problems. This method involves much fewer degrees of freedom than the standard finite element method. We show nevertheless that such a sparse finite element method still possesses the superconvergence and other high accuracy properties same as those of the standard finite element method. The main technique in our analysis is the use of some integral identities.
Year
DOI
Venue
2001
null
Numerische Mathematik
Keywords
Field
DocType
finite element method,degree of freedom
Boundary knot method,Mathematical analysis,Superconvergence,Extended finite element method,Finite element method,Mathematics,hp-FEM,Smoothed finite element method,Mixed finite element method,Spectral element method
Journal
Volume
Issue
ISSN
88
4
null
Citations 
PageRank 
References 
1
0.54
0
Authors
3
Name
Order
Citations
PageRank
Qun Lin17814.23
Ningning Yan233945.36
Aihui Zhou330938.64