Title
Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D
Abstract
For linear finite element discretizations of the Laplace equation in three dimensions, we give an example of a tetrahedral mesh in the cubic domain for which the logarithmic factor cannot be removed from the standard upper bounds on the error in the maximum norm.
Year
DOI
Venue
2019
10.1090/mcom/3384
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
Linear finite elements,maximum norm error estimate,logarithmic factor
Mathematical optimization,Tetrahedral meshes,Mathematical analysis,Finite element method,Laplace's equation,Iterated logarithm,Logarithm,Mathematics
Journal
Volume
Issue
ISSN
88
318
0025-5718
Citations 
PageRank 
References 
0
0.34
1
Authors
1
Name
Order
Citations
PageRank
Natalia Kopteva113022.08