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Numerical Functional Analysis and Optimization Volume 33, 2012 - Issue 11
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Original Articles

A Penalty Approach to Optimal Control of Allen-Cahn Variational Inequalities: MPEC-View

M. Hassan Farshbaf-Shaker Fakultät für Mathematik, Universität Regensburg, Regensburg, GermanyCorrespondence[email protected]
Pages 1321-1349 | Received 28 Feb 2011, Accepted 29 Feb 2012, Published online: 10 Oct 2012

Citations (19)

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Pierluigi Colli, M. Hassan Farshbaf-Shaker, Ken Shirakawa & Noriaki Yamazaki. (2020) Optimal Control for Shape Memory Alloys of the One-Dimensional Frémond Model. Numerical Functional Analysis and Optimization 41:12, pages 1421-1471.
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Articles from other publishers (18)

Thomas M. Surowiec & Shawn W. Walker. (2023) Optimal Control of the Landau–de Gennes Model of Nematic Liquid Crystals. SIAM Journal on Control and Optimization 61:4, pages 2546-2570.
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Livia M. Betz. (2019) Strong Stationarity for Optimal Control of a Nonsmooth Coupled System: Application to a Viscous Evolutionary Variational Inequality Coupled with an Elliptic PDE. SIAM Journal on Optimization 29:4, pages 3069-3099.
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Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi & Elisabetta Rocca. (2018) Distributed optimal control problems for phase field systems with singular potential. Analele Universitatii "Ovidius" Constanta - Seria Matematica 26:2, pages 71-85.
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Livia M. Susu. (2018) Optimal Control of a Viscous Two‐Field Gradient Damage Model. GAMM-Mitteilungen 40:4, pages 287-311.
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M. Khaksar-e Oshagh & M. Shamsi. (2018) An adaptive wavelet collocation method for solving optimal control of elliptic variational inequalities of the obstacle type. Computers & Mathematics with Applications 75:2, pages 470-485.
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Thomas M. Surowiec. 2018. Frontiers in PDE-Constrained Optimization. Frontiers in PDE-Constrained Optimization 123 170 .
Cecilia Cavaterra, Elisabetta Rocca & Hao Wu. (2017) Optimal Boundary Control of a Simplified Ericksen?Leslie System for Nematic Liquid Crystal Flows in 2D. Archive for Rational Mechanics and Analysis 224:3, pages 1037-1086.
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Christian Meyer & Livia M. Susu. (2017) Optimal Control of Nonsmooth, Semilinear Parabolic Equations. SIAM Journal on Control and Optimization 55:4, pages 2206-2234.
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M. Khaksar-e Oshagh & M. Shamsi. (2017) Direct pseudo-spectral method for optimal control of obstacle problem - an optimal control problem governed by elliptic variational inequality. Mathematical Methods in the Applied Sciences.
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Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi & Elisabetta Rocca. (2016) Optimal control for a phase field system with a possibly singular potential. Mathematical Control and Related Fields 6:1, pages 95-112.
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M. Hassan Farshbaf-Shaker & Claudia Hecht. (2016) Optimal Control of Elastic Vector-Valued Allen--Cahn Variational Inequalities. SIAM Journal on Control and Optimization 54:1, pages 129-152.
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M. Hassan Farshbaf-Shaker. (2014) A Relaxation Approach to Vector-Valued Allen–Cahn MPEC Problems. Applied Mathematics & Optimization 72:2, pages 325-351.
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Pierluigi Colli, M. Hassan Farshbaf-Shaker & Jürgen Sprekels. (2014) A Deep Quench Approach to the Optimal Control of an Allen–Cahn Equation with Dynamic Boundary Conditions and Double Obstacles. Applied Mathematics & Optimization 71:1, pages 1-24.
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Pierluigi Colli, M. Hassan Farshbaf-Shaker, Gianni Gilardi & J?rgen Sprekels. (2015) Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials. SIAM Journal on Control and Optimization 53:4, pages 2696-2721.
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Pierluigi Colli & Jürgen Sprekels. (2015) Optimal Control of an Allen--Cahn Equation with Singular Potentials and Dynamic Boundary Condition. SIAM Journal on Control and Optimization 53:1, pages 213-234.
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Luise Blank, M. Hassan Farshbaf-Shaker, Claudia Hecht, Josef Michl & Christoph Rupprecht. 2014. Trends in PDE Constrained Optimization. Trends in PDE Constrained Optimization 11 26 .
Peter Benner & Martin Stoll. (2013) Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control. IFAC Proceedings Volumes 46:26, pages 139-143.
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Sven-Joachim Kimmerle. (2012) Optimal Control of Mean Field Models for Phase Transitions. IFAC Proceedings Volumes 45:2, pages 1107-1111.
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