Paper Info
Title
Analysis of a p--version finite volume method for 1D elliptic problems.
Abstract
In this work, we present and analyze a p-version finite volume method (FVM) for elliptic problems in the one dimensional setting. Under some regularity assumptions of the exact solution, it is shown that the p-version FV solution converges with exponential rates under H^1,L^2 and L^~-norms. Superconvergence properties at nodal, Lobatto and Gauss points have been also discussed. Numerical results are presented to support our theoretical findings.
Year
DOI
Venue
2014
10.1016/j.cam.2013.09.044
J. Computational Applied Mathematics
Keywords
Field
DocType
p-version fv solution converges,exact solution,gauss point,p-version finite volume method,numerical result,superconvergence property,regularity assumption,exponential rate,dimensional setting,elliptic problem,finite volume method,p,superconvergence
Exact solutions in general relativity,Gauss,Mathematical optimization,Exponential function,Mathematical analysis,Superconvergence,Finite volume method,Mathematics
Journal
Volume
ISSN
Citations 
265
0377-0427
0
PageRank 
References 
Authors
0.34
9
3
Name
Order
Citations
PageRank
Waixiang Cao1606.70
Zhimin Zhang25411.10
Qingsong Zou39613.99