Title
Uniform error estimates for triangular finite element solutions of advection-diffusion equations
Abstract
In this paper, the authors use the integral identities of triangular linear elements to prove a uniform optimal-order error estimate for the triangular element solution of two-dimensional time-dependent advection-diffusion equations. Also the authors introduce an interpolation postprocessing operator to get the superconvergence estimate under the 驴 weighted energy norm. The estimates above depend only on the initial and right data but not on the scaling parameter 驴.
Year
DOI
Venue
2013
10.1007/s10444-011-9228-x
Adv. Comput. Math.
Keywords
DocType
Volume
Triangular linear elements,Integral identities,Uniform error estimates,Fully discrete Galerkin method,Interpolation postprocessing operator,65M12,65M60,76M10
Journal
38
Issue
ISSN
Citations 
1
1019-7168
1
PageRank 
References 
Authors
0.39
4
4
Name
Order
Citations
PageRank
Hongtao Chen141.46
Qun Lin27814.23
Junming Zhou3291.65
Hong Wang437344.74