PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages
ESAIM: M2AN, 46 4 (2012) 709-729
Published online: 2012-02-03
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Difference Schemes for a Class of Maxwell Equation Optimal Control Problems
练 梅Operations Research and Fuzziology 12 (04) 1439 (2022)
https://doi.org/10.12677/ORF.2022.124152
The coupled heat Maxwell equations with temperature-dependent permittivity
Tonia-Maria Alam and Luc PaquetJournal of Mathematical Analysis and Applications 505 (1) 125472 (2022)
https://doi.org/10.1016/j.jmaa.2021.125472
Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities
Antoine Laurain, Malte Winckler and Irwin YouseptSIAM Journal on Control and Optimization 59 (3) 2247 (2021)
https://doi.org/10.1137/19M1294150
Optimal control for electromagnetic cloaking metamaterial parameters design
Zhiwei Fang, Jichun Li and Xiang WangComputers & Mathematics with Applications 79 (4) 1165 (2020)
https://doi.org/10.1016/j.camwa.2019.08.023
A problem in control of elastodynamics with piezoelectric effects
Harbir Antil, Thomas S Brown and Francisco-Javier SayasIMA Journal of Numerical Analysis 40 (4) 2839 (2020)
https://doi.org/10.1093/imanum/drz047
Constrained trajectory planning and actuator design for electromagnetic heating systems
Sönke Rhein and Knut GraichenControl Engineering Practice 74 191 (2018)
https://doi.org/10.1016/j.conengprac.2018.02.012
Optimal control of some quasilinear Maxwell equations of parabolic type
Serge Nicaise and Fredi TröltzschDiscrete & Continuous Dynamical Systems - S 10 (6) 1375 (2017)
https://doi.org/10.3934/dcdss.2017073
A posteriori error analysis for the optimal control of magneto-static fields
Dirk Pauly and Irwin YouseptESAIM: Mathematical Modelling and Numerical Analysis 51 (6) 2159 (2017)
https://doi.org/10.1051/m2an/2017008
Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity
Irwin YouseptSIAM Journal on Control and Optimization 55 (4) 2305 (2017)
https://doi.org/10.1137/16M1074229
Optimal control of the full time-dependent maxwell equations
Vera Bommer and Irwin YouseptESAIM: Mathematical Modelling and Numerical Analysis 50 (1) 237 (2016)
https://doi.org/10.1051/m2an/2015041
Optimal control of low-frequency electromagnetic fields in multiply connected conductors
F. Tröltzsch and A. ValliOptimization 65 (9) 1651 (2016)
https://doi.org/10.1080/02331934.2016.1179301
A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions
Jun Liu and Mingqing XiaoJournal of Computational and Applied Mathematics 307 216 (2016)
https://doi.org/10.1016/j.cam.2016.02.010
System Modeling and Optimization
Fredi Tröltzsch and Alberto ValliIFIP Advances in Information and Communication Technology, System Modeling and Optimization 494 505 (2016)
https://doi.org/10.1007/978-3-319-55795-3_48
Optimal Control of the Inhomogeneous Relativistic Maxwell--Newton--Lorentz Equations
C. Meyer, S. M. Schnepp and O. ThomaSIAM Journal on Control and Optimization 54 (5) 2490 (2016)
https://doi.org/10.1137/14100083X
Adaptive edge element approximation of H(curl)-elliptic optimal control problems with control constraints
Ronald H. W. Hoppe and Irwin YouseptBIT Numerical Mathematics 55 (1) 255 (2015)
https://doi.org/10.1007/s10543-014-0497-x
515 (2015)
https://doi.org/10.1109/ECC.2015.7330595
Optimal control of magnetic fields in flow measurement
Serge Nicaise, Simon Stingelin and Fredi TröltzschDiscrete & Continuous Dynamical Systems - S 8 (3) 579 (2015)
https://doi.org/10.3934/dcdss.2015.8.579
Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model
Michael Hintermüller, Antoine Laurain and Irwin YouseptInverse Problems 31 (6) 065006 (2015)
https://doi.org/10.1088/0266-5611/31/6/065006
On an induction–conduction PDEs system in the harmonic regime
M.T. González Montesinos and F. Ortegón GallegoNonlinear Analysis: Real World Applications 15 58 (2014)
https://doi.org/10.1016/j.nonrwa.2013.05.006
656 (2014)
https://doi.org/10.1109/CONTROL.2014.6915217
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
Michael Kolmbauer and Ulrich LangerSpringer Proceedings in Mathematics & Statistics, Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications 45 203 (2013)
https://doi.org/10.1007/978-1-4614-7172-1_11
Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
Irwin YouseptSIAM Journal on Control and Optimization 51 (5) 3624 (2013)
https://doi.org/10.1137/120904299
Finite Element Analysis of an Optimal Control Problem in the Coefficients of Time-Harmonic Eddy Current Equations
Irwin YouseptJournal of Optimization Theory and Applications 154 (3) 879 (2012)
https://doi.org/10.1007/s10957-012-0040-7