Prof. Dr. Irwin Yousept
Universität Duisburg-Essen
Thea-Leymann-Straße 9
D-45127 Essen
+49 201 183 6894
Email: irwin.yousept[at]

Research Interests: Optimal Control, Inverse Problems, Numerical Analysis, Maxwell's Equations

Recent Applications: High-Tc Superconductivity, Electromagnetic Shielding, Ferromagnetics, Induction Heating, Full Waveform Inversion

Academic Records

Aug. 2014 - Full Professor (W3), University Duisburg-Essen
Jan. 2019 - April 2019

Visiting Professor, Chinese University of Hong Kong

July  2012 - July 2014

Junior Professor (W1), Technical University Darmstadt

Oct. 2009 - June 2012 Postdoc, MATHEON, Technical University of Berlin

Oct. 2008 - Sep. 2009

Guest W2-Professor, University of Augsburg

June 2006 - July 2008 Research Assistant, MATHEON, Technical University of Berlin


Aug. 2008 Promotion in Mathematik, Technical University of Berlin
Oct. 2005 Diplom in Mathematik, Technical University of Berlin

Scientific Awards

2014 Richard-von-Mises-Preis GAMM - International Association of Applied Mathematics and Mechanics
2013 Dimitrie Pompeiu Prize Academy of Romanian Scientists
2006 Erwin Stephan Prize Technical University of Berlin
2005 Dies Mathematicus Prize Technical University of Berlin

Editorial Works

Since 2019 Associate Editor for Applicable Analysis
Since 2018 Associate Editor for Results in Applied Mathematics

DFG Research Projects

Advances in Regularization Theory for Inverse Problems in Banach Spaces
DFG Research Grant (YO 159/5-1), since 2022

Maxwell Obstacle Problems in Electromagnetic Shielding: Numerical Analysis, Shape Design and Nonlinear Permeability
DFG Research Grant (YO 159/4-1), since 2021

Multi-Physics Phenomena in High-Temperature Superconductivity: Analysis, Numerics and Optimization
DFG SPP1962 (YO 159/2-2), since 2019

Optimization of Non-smooth Hyperbolic Maxwell's Equations in Type-II Superconductivity Based on the Bean Critical State Model
DFG SPP1962 (YO 159/2-1), 2017 - 2020 (completed)


[43] Luis Ammann and Irwin Yousept: Acoustic Full Waveform Inversion via Optimal Control: First- and Second-Order Analysis [PDF] SIAM Journal on Control and Optimization 61:4, 2468-2496, 2023

[42] Gabrielle Caselli, Maurice Hensel, Irwin Yousept: Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control [PDF] SIAM Journal on Control and Optimization 61:4, 2043-2068, 2023

[41] Maurice Hensel and Irwin Yousept: Eddy Current Approximation in Maxwell Obstacle Problems [PDF] Interfaces and Free Boundaries, 25, no. 1, 1–36, 2023

[40] Maurice Hensel and Irwin Yousept: Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding [PDF] SIAM Journal on Numerical Analysis 60(3), 1083-1110, 2022

[39] De-Han Chen, D. Jiang, Irwin Yousept, Jun Zou: Variational source conditions for inverse Robin and flux problems by partial measurements [PDF] Inverse Problems Imaging 16(2), 283-304, 2022

[38] Irwin Yousept: Maxwell Quasi-Variational Inequalities in Superconductivity [PDF], ESAIM:M2AN 55 (2021) 1545-1568

[37] De-Han Chen and Irwin Yousept: Variational source conditions in Lp-spaces [PDF], SIAM Journal on Mathematical Analysis 53(3), pp. 2863--2889, 2021

[36] Yuri Flores Albuquerque, Antoine Laurain, Irwin Yousept: Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversion [PDF], SIAM Journal on Applied Mathematics 81(3), pp. 939--964, 2021

[35] Antoine Laurain, Malte Winckler, Irwin Yousept: Shape optimization for superconductors governed by H(curl)- elliptic variational inequalities [PDF], SIAM Journal on Control and Optimization 59(3), pp. 2247--2272, 2021

[34] De-Han Chen, Bernd Hofmann, Irwin Yousept: Oversmoothing Tikhonov regularization in Banach spaces [PDF] Inverse Problems  37 (2021) 085007

[33] Andre Maldonado and Irwin Yousept: Optimal control of non-smooth wave equations Pure and Applied Functional Analysis , to appear 2021

[32] Agnes Lamacz-Keymling and Irwin Yousept:  High-order homogenization in optimal control by the Bloch wave method [PDF] ESAIM:COCV 27 (2021) 100

[31] Livia Betz and Irwin Yousept: Optimal control of elliptic variational inequalities with bounded and unbounded operators [PDF] Mathematical Control & Related Fields , 11(3): 479--498, 2021

[30] Irwin Yousept: Well-posedness theory for electromagnetic obstacle problems [PDF]
Journal of Differential Equations 269(10): 8855--8881, 2020

[29] Irwin Yousept: Hyperbolic Maxwell Variational Inequalities of the Second Kind [PDF]
ESAIM: COCV 26, Paper No. 34, 2020,

[28] Yifeng Xu, Irwin Yousept and Jun Zou: An adaptive edge element approximation of a quasilinear H(curl)-elliptic problem [PDF] Math. Models Methods Appl. Sci. (M3AS) 30, no. 14, 2799–2826, 2020

[27] Malte Winckler, Irwin Yousept and Jun Zou: Adaptive edge element approximation for H(curl) elliptic variational inequalities of second kind [PDF] SIAM Journal on Numerical Analysis 58(3): 1941-1964, 2020

[26] Andrew Lam and Irwin Yousept : Consistency of a phase field regularization for an inverse problem governed by a quasilinear Maxwell system [PDF] Inverse Problems 36 045011, 2020

[25] Malte Winckler and Irwin Yousept: Fully discrete scheme for Bean's critical-state model with temperature effects in superconductivity [PDF] SIAM Journal on Numerical Analysis 57(6): 2685–2706, 2019

[24] De-Han Chen and Irwin Yousept: Variational Source Condition for Ill-Posed Backward Nonlinear Maxwell's Equations [PDF] Inverse Problems 35(2): 025001, 2019

[23] Malte Winckler, Irwin Yousept: Maxwell variational inequalities in type-II superconductivity, SPP1962 Special Issue, Birkhäuser, to appear, 2019

[22] Irwin Yousept:  Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II Superconductivity [PDF] SIAM Journal on Numerical Analysis 55(5): 2444-2464, 2017

[21] Irwin YouseptOptimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity [PDF] SIAM Journal on Control and Optimization 55(4): 2305-2332, 2017

[20] Irwin Yousept and Jun ZouEdge element method for optimal control of stationary Maxwell system with Gauss Law [PDF] SIAM Journal on Numerical Analysis 55(6): 2787-2810, 2017

[19] Dirk Pauly and Irwin YouseptA Posteriori Error Analysis for the Optimal Control of Magneto-Static Fields
ESAIM: M2AN 51(6): 2159-2191, 2017

[18] Vera Bommer and Irwin YouseptOptimal Control of the Full Time-Dependent Maxwell Equations
ESAIM: M2AN 50(1):237–261, 2016.

[17]  Michael Hintermüller; Antoine Laurain; Irwin YouseptShape Sensitivities for an Inverse Problem in Magnetic Induction Tomography Based on the Eddy Current Model Inverse Problems, 31 (2015) 065006 (25pp)

[16]  Ronald H.W. Hoppe and Irwin YouseptAdaptive edge element approximation of H(curl)-elliptic optimal control problems with control constraints BIT Numerical Mathematics 55:255-277, 2015

[15]  J.C. Delos Reyes and Irwin YouseptOptimal control of electrorheological fluids through the action of electric field Computational Optimization and Applications, DOI 10.1007/s10589-014-9705-5, 2015

[14] Irwin Yousept: Optimal bilinear control of eddy current equations with grad-div regularization [PDF]
 J. Numer. Math. 23 (1):81–98, 2015

[13] Irwin Yousept: Optimal Control of Quasilinear H(curl)-Elliptic Partial Differential Equations in Magnetostatic Field Problems [PDF] SIAM Journal on Control and Optimization 51(5), 3624-3651, 2013

[12] Irwin Yousept: Optimal control of Maxwell's equations with regularized state constraints
Computational Optimization and Applications 52(2), 559-581, 2012

[11] Irwin Yousept: Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations Journal of Optimization Theory and Applications 154(3), 879-903, 2012

[10] Fredi Tröltzsch and Irwin Yousept: PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages [PDF] ESAIM: M2AN 46, 709-729, 2012

[9] P.-E. Druet; O. Klein; J. Sprekels; F. Tröltzsch; I. Yousept
Optimal control of 3D state-constrained induction heating problems with nonlocal radiation effects. 
SIAM Journal on Control and Optimization  49(4): 1707-1736, 2011

[8] Irwin Yousept: Optimal control of a nonlinear coupled electromagnetic induction heating system with pointwise state constraints Ann. Acad. Rom. Sci. Ser. Math. Appl. 2(1): 45-77, 2010

[7] Michael Hintermüller and Irwin Yousept: A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems ESAIM: COCV 16(3): 503-522, 2010

[6] Christian Meyer and Irwin YouseptState-constrained optimal control of semilinear elliptic equations with nonlocal radiation interface conditions SIAM Journal on Control and Optimization 48(2): 734-755, 2009

[5] Christian Meyer and Irwin Yousept: Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions. Computational Optimization and Applications 44(2): 183-212, 2009

[4] Juan Carlos Delos Reyes and Irwin Yousept: Regularized state-constrained boundary optimal control of the Navier-Stokes equations Journal of Mathematical Analysis and Applications 356(1): 257-279, 2009

[3] Fredi Tröltzsch and Irwin YouseptA regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints Computational Optimization and Applications 42(1): 43-66, 2009 

[2] Fredi Tröltzsch and Irwin YouseptSource representation strategy for optimal boundary control problems with state constraints Zeitschrift für Analysis und ihre Anwendungen (ZAA)  28(2): 189-203, 2009

[1] Michael Hintermüller and Fredi Tröltzsch and Irwin Yousept: Mesh independence of semismooth Newton methods for Lavrentiev-regularized state constrained optimal control problems. Numerische Mathematik 108(4): 571-603, 2008