Name
Title | ||
|---|---|---|
Variational discretization for parabolic optimal control problems with control constraints. |
Abstract | ||
|---|---|---|
This paper studies variational discretization for the optimal control problem governed by parabolic equations with control constraints.First of all,the authors derive a priori error estimates where |||u-U_(h|||_L∞(J;L~2(Ω))=O(h~2+k).It is much better than a priori error estimates of standard finite element and backward Euler method where |||μ-U_h|||_(L∞(J;L~2(Ω))=O(h+ k).Secondly,the authors obtain a posteriori error estimates of residual type.Finally,the authors present some numerical algorithms for the optimal control problem and do some numerical experiments to illustrate their theoretical results. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s11424-012-0279-y | J. Systems Science & Complexity |
Keywords | Field | DocType |
optimal control problems,a priori error estimates,parabolic equations,variational discretization.,a posteriori error estimates | Parabolic partial differential equation,Discretization,Mathematical optimization,Optimal control,Finite element method,Omega,Backward Euler method,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
25 | 5 | 1559-7067 |
Citations | PageRank | References |
2 | 0.40 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| yuelong | 1 | 2 | 0.40 |
| tang | 2 | 6 | 3.27 |
| Yanping Chen | 3 | 208 | 17.42 |
| Yanping Chen | 4 | 208 | 17.42 |