A posteriori error analysis for the optimal control of magneto-static fields

Research output: Contribution to journalResearch articleContributedpeer-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 languageEnglish
Pages (from-to)2159-2191
Number of pages33
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume51
Issue number6
Publication statusPublished - 12 Dec 2017
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224249
WOS 000417626600001

Keywords

Keywords

  • A posteriori error analysis, Magneto statics, Maxwell's equations, Optimal control