Name
Title | ||
|---|---|---|
ERROR ESTIMATES FOR A POINTWISE TRACKING OPTIMAL CONTROL PROBLEM OF A SEMILINEAR ELLIPTIC EQUATION |
Abstract | ||
|---|---|---|
We consider a pointwise tracking optimal control problem for a semilinear elliptic partial differential equation. We derive the existence of optimal solutions and analyze first and, necessary and sufficient, second order optimality conditions. We devise two strategies of discretization to approximate a solution of the optimal control problem: a semidiscrete scheme where the control variable is not discretized---the so-called variational discretization approach---and a fully discrete scheme where the control variable is discretized with piecewise constant functions. For both solution techniques, we analyze convergence properties of discretizations and derive error estimates. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1137/20M1364151 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Keywords | DocType | Volume |
optimal control, semilinear equations, Dirac measures, first order optimality conditions, second order optimality conditions, finite element approximations, error estimates, maximumnorm estimates | Journal | 60 |
Issue | ISSN | Citations |
3 | 0363-0129 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alejandro Allendes | 1 | 4 | 3.92 |
| Francisco Fuica | 2 | 0 | 1.01 |
| Enrique Otárola | 3 | 86 | 13.91 |