Title
The continuous Galerkin finite element methods for linear neutral delay differential equations.
Abstract
In the paper, the superconvergence of continuous Galerkin finite element methods (CGFEMs) for linear delay differential equations of neutral type is presented. By the orthogonal analysis method and under the suitable condition, it is proven that the finite element solution is superconvergent at the nodal points and Lobatto points. Numerical experiments further confirm the effectiveness and the superconvergence of the CGFEMs.
Year
DOI
Venue
2019
10.1016/j.amc.2018.10.056
Applied Mathematics and Computation
Keywords
Field
DocType
Neutral delay differential equations,Superconvergence,Continuous Galerkin finite element method
Mathematical analysis,Finite element solution,Cardinal point,Galerkin method,Superconvergence,Finite element method,Delay differential equation,Mathematics
Journal
Volume
ISSN
Citations 
346
0096-3003
0
PageRank 
References 
Authors
0.34
8
3
Name
Order
Citations
PageRank
Hongyu Qin100.34
Qifeng Zhang200.68
Shaohua Wan338248.34