A posteriori error analysis for the optimal control of magneto-static fields
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
This paper is concerned with the analysis and numerical investigations for the optimal control of first-order magneto-static equations. Necessary and sufficient optimality conditions are established through a rigorous Hilbert space approach. Then, on the basis of the optimality system, we prove functional a posteriori error estimators for the optimal control, the optimal state, and the adjoint state. 3D numerical results illustrating the theoretical findings are presented.
Details
Original language | English |
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Pages (from-to) | 2159-2191 |
Number of pages | 33 |
Journal | ESAIM: Mathematical Modelling and Numerical Analysis |
Volume | 51 |
Issue number | 6 |
Publication status | Published - 12 Dec 2017 |
Peer-reviewed | Yes |
External IDs
ORCID | /0000-0003-4155-7297/work/145224249 |
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WOS | 000417626600001 |
Keywords
ASJC Scopus subject areas
Keywords
- A posteriori error analysis, Magneto statics, Maxwell's equations, Optimal control