| Title:
|
Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations (English) |
| Author:
|
Yan, Ningning |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
267-283 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement. (English) |
| Keyword:
|
optimal control |
| Keyword:
|
integral equation |
| Keyword:
|
Galerkin method |
| Keyword:
|
superconvergence |
| Keyword:
|
a posteriori error estimates |
| Keyword:
|
constrained optimal control problems |
| Keyword:
|
adaptive mesh refinement |
| MSC:
|
49J21 |
| MSC:
|
49M25 |
| MSC:
|
49M30 |
| MSC:
|
65K10 |
| MSC:
|
65N30 |
| MSC:
|
65R20 |
| idZBL:
|
Zbl 1212.65256 |
| idMR:
|
MR2530543 |
| DOI:
|
10.1007/s10492-009-0017-5 |
| . |
| Date available:
|
2010-07-20T13:05:50Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140364 |
| . |
| Reference:
|
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