Title
A Posteriori Error Estimates of Two-Grid Finite Element Methods for Nonlinear Elliptic Problems.
Abstract
In this article, we study the residual-based a posteriori error estimates of the two-grid finite element methods for the second order nonlinear elliptic boundary value problems. Computable upper and lower bounds on the error in the \(H^1\)-norm are established. Numerical experiments are also provided to illustrate the performance of the proposed estimators.
Year
DOI
Venue
2018
10.1007/s10915-017-0422-y
J. Sci. Comput.
Keywords
Field
DocType
Two-grid finite element method, Nonlinear elliptic problems, A posteriori error estimates, 65N15, 65N30
Boundary value problem,Mathematical optimization,Nonlinear system,Upper and lower bounds,Mathematical analysis,A priori and a posteriori,Finite element method,Grid,Mathematics,Mixed finite element method,Estimator
Journal
Volume
Issue
ISSN
74
1
0885-7474
Citations 
PageRank 
References 
1
0.36
17
Authors
3
Name
Order
Citations
PageRank
Chunjia Bi1585.80
Cheng Wang25811.05
Yanping Lin324426.94