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Overview
Overview
Prof. Dr. Anton Schiela Prof. Dr. Anton Schiela
Prof. Dr. Anton Schiela

Department of Mathematics
Chair of Applied Mathematics


Prof. Dr. Anton Schiela

Department of Mathematics
Chair of Applied Mathematics


  • Function space oriented interior point methods
  • Optimal control with partial differential equations
  • State constraints
  • Newton methods in function space
  • Optimization in function space
  • Dynamical contact problems
  • Applications in computational medicine
Prof. Dr. Anton Schiela

Department of Mathematics
Chair of Applied Mathematics


Publications

2021

Articles (reviewed)    ↑ top

Lars Grüne, Manuel Schaller and Anton Schiela: Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. In: ESAIM : Control, Optimisation and Calculus of Variations, (2021). - .
doi:10.1051/cocv/2021030

Working Papers & Preprints    ↑ top

Bastian Pötzl, Anton Schiela and Patrick Jaap: Second order semi-smooth proximal Newton methods in Hilbert spaces.. - Bayreuth, 2021-03-29. - 28 S.

2020

Articles (reviewed)    ↑ top

Markus Hahn, Anton Schiela, Patrick Mößle, Felix Katzer and Michael A. Danzer: Revealing inhomogeneities in electrode lithiation using a real-time discrete electro-chemical model. In: Journal of Power Sources, 477 (2020). - S. No. 228672.
doi:10.1016/j.jpowsour.2020.228672

Lars Grüne, Manuel Schaller and Anton Schiela: Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. In: Journal of Differential Equations, 268 (2020). - S. 7311-7341.
doi:10.1016/j.jde.2019.11.064

Working Papers & Preprints    ↑ top

Lars Grüne, Manuel Schaller and Anton Schiela: Efficient MPC for parabolic PDEs with goal oriented error estimation.. - Bayreuth, 2020-07-28. - 26 S.

Lars Grüne, Manuel Schaller and Anton Schiela: Exponential sensitivity analysis for Model Predictive Control of PDEs.. - Bayreuth, 2020-01. - 4 S.

2019

Articles (reviewed)    ↑ top

Lars Grüne, Manuel Schaller and Anton Schiela: Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control. In: SIAM Journal on Control and Optimization, 57 (2019). - S. 2753-2774.
doi:10.1137/18M1223083

Working Papers & Preprints    ↑ top

Anton Schiela and Matthias Stöcklein: Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain.. - University Bayreuth, 2019-09. - 21 S.

Julián Ortiz and Anton Schiela: A composite step method for equality constrained optimization on manifolds.. - Bayreuth, 2019-03-01. - 27 S.

Anton Schiela and Julián Ortiz: Second order directional shape derivatives.. - Bayreuth, 2019-02-25. - 25 S.

2018

Articles (reviewed)    ↑ top

Tobias Sproll, Anton Schiela and Madeleine Lowery: Numerical Identification of Motor Units using an Optimal Control Approach. In: IFAC-PapersOnLine, 51 (2018). - S. 174 - 179.
doi:10.1016/j.ifacol.2018.03.030

Articles, Proceedings and Book Chapters (non-reviewed)    ↑ top

Lars Grüne, Manuel Schaller and Anton Schiela: Sensitivity analysis of optimal control motivated by model predictive control. In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong : 2018. - S. 93-96.

Working Papers & Preprints    ↑ top

Anton Schiela and Matthias Stöcklein: Optimal Control of Static Contact in Finite Strain Elasticity.. - Bayreuth, 2018-10. - 28 S.

Manuel Schaller, Anton Schiela and Matthias Stöcklein: A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization.. - Bayreuth, 2018-10. - 29 S.

2016

Working Papers & Preprints    ↑ top

Georg Müller and Anton Schiela: On the Control of Time Discretized Dynamical Contact Problems.. - Bayreuth, 2016. - 35 S.

2015

Articles (reviewed)    ↑ top

Christian Clason and Anton Schiela: Optimal control of elliptic equations with positive measures. In: Control, Optimisation and Calculus of Variations, (2015). - .
doi:10.1051/cocv/2015046

Working Papers & Preprints    ↑ top

Lars Lubkoll, Anton Schiela and Martin Weiser: An affine covariant composite step method for optimization with PDEs as equality constraints.. - Berlin, Germany, 2015-03-12. - 40 S.

2014

Articles (reviewed)    ↑ top

Oliver Sander and Anton Schiela: Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum. In: Zeitschrift für angewandte Mathematik und Physik, 65 (2014). - S. 1261-1288.
doi:10.1007/s00033-013-0389-y

Lars Lubkoll, Anton Schiela and Martin Weiser: An optimal control problem in polyconvex hyperelasticity. In: SIAM Journal on Control and Optimization, 52 (2014). - S. 1403-1422.
doi:10.1137/120876629

Anton Schiela and Stefan Ulbrich: Operator preconditioning for a class of inequality constrained optimal control problems. In: SIAM Journal on Optimization, 24 (2014). - S. 435-466.
doi:10.1137/120877532

Michael Hintermüller, Anton Schiela and Winnifried Wollner: The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. In: SIAM Journal on Optimization, 24 (2014). - S. 108-126.
doi:10.1137/120866762

Working Papers & Preprints    ↑ top

Anton Schiela: A flexible framework for cubic regularization algorithms for non-convex optimization in function space.. - Hamburg-Harburg, Germany, 2014-04-04. - 26 S.

2013

Articles (reviewed)    ↑ top

Anton Schiela: A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control. In: Systems & Control Letters, 62 (2013). - S. 895-901.
doi:10.1016/j.sysconle.2013.06.013

Anton Schiela: An interior point method in function space for the efficient solution of state constrained optimal control problems. In: Mathematical Programming Series A, 138 (2013). - S. 83-114.
doi:10.1007/s10107-012-0595-y

Anton Schiela and Daniel Wachsmuth: Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints. In: ESAIM : Mathematical Modelling and Numerical Analysis, 47 (2013). - S. 771-787.
doi:10.1051/m2an/2012049

Articles, Proceedings and Book Chapters (non-reviewed)    ↑ top

Peter Deuflhard and Anton Schiela: Katz und Maus. In: Katja Biermann, Martin Grötschel and Brigitte Lutz-Westphal (Hrsg.): Besser als Mathe : Moderne angewandte Mathematik aus dem MATHEON zum Mitmachen. 2., aktualisierte Auflage. - Wiesbaden : Springer Fachmedien, 2013. - S. 29-40.
doi:10.1007/978-3-658-01004-1_5

2012

Articles (reviewed)    ↑ top

Peter Deuflhard, Anton Schiela and Martin Weiser: Mathematical cancer therapy planning in deep regional hyperthermia. In: Acta Numerica, 21 (2012). - S. 307-378.
doi:10.1017/S0962492912000049

Conference Proceedings (reviewed)    ↑ top

Sebastian Götschel, Martin Weiser and Anton Schiela: Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox. In: Dedner, Andreas ; Flemisch, Bernd ; Klöfkorn, Robert (Hrsg.): Advances in DUNE : Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany. - Berlin, Heidelberg : Springer, 2012. - S. 101-112.
doi:10.1007/978-3-642-28589-9_8

Articles, Proceedings and Book Chapters (non-reviewed)    ↑ top

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Fast algorithms for the simulation of human knee joint motion. In: C. Hellmich, M. H. Hamza and D. Simsik (Hrsg.): Proceedings of the IASTED International Conference on Biomedical Engineering (BioMed 2012), February 15-17, 2012, Innsbruck, Austria. - Anaheim, CA u.a. : ACTA Press, 2012. - S. 696-699.
doi:10.2316/P.2012.764-176

Conference Talks & Posters    ↑ top

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Adaptive numerical integration of dynamical contact problems. - (Vortrag), Veranstaltung: Thematic Conference of the European Community on Computational Methods in Applied Sciences (ECCOMAS), 2nd International Conference on Computational Contact Mechanics (ICCCM 2011), 15.-17. Juni 2011, Hannover, Germany.

2011

Articles (reviewed)    ↑ top

Christian Meyer, Lucia Panizzi and Anton Schiela: Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control. In: Numerical Functional Analysis and Optimization, 32 (2011). - S. 983-1007.
doi:10.1080/01630563.2011.587074

Anton Schiela and Andreas Günther: An interior point algorithm with inexact step computation in function space for state constrained optimal control. In: Numerische Mathematik, 119 (2011). - S. 373-407.
doi:10.1007/s00211-011-0381-4

Michael Hinze and Anton Schiela: Discretization of interior point methods for state constrained elliptic optimal control problems : optimal error estimates and parameter adjustment. In: Computational Optimization and Applications, 48 (2011). - S. 581-600.
doi:10.1007/s10589-009-9278-x

Anton Schiela and Winnifried Wollner: Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints. In: SIAM Journal on Optimization, 21 (2011). - S. 269-286.
doi:10.1137/080742154

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Adaptive timestep control for the contact-stabilized Newmark method. In: Numerische Mathematik, 119 (2011). - S. 49-81.
doi:10.1007/s00211-011-0374-3

2010

Articles (reviewed)    ↑ top

Corinna Klapproth, Anton Schiela and Peter Deuflhard: Consistency results on Newmark methods for dynamical contact problems. In: Numerische Mathematik, 116 (2010). - S. 65-94.
doi:10.1007/s00211-010-0300-0

Conference Proceedings (reviewed)    ↑ top

Anton Schiela and Martin Weiser: Barrier Methods for a Control Problem from Hyperthermia Treatment Planning. In: Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010. - S. 419-428.
doi:10.1007/978-3-642-12598-0_36

Book Chapters (reviewed)    ↑ top

Peter Deuflhard, Ralf Kornhuber, Oliver Sander, Anton Schiela and Martin Weiser: Mathematics cures virtual patients. In: MATHEON - Mathematics for Key Technologies. - Zürich : European Math. Soc., 2010. - S. 7-25.
doi:10.4171/137

2009

Articles (reviewed)    ↑ top

Anton Schiela: State constrained optimal control problems with states of low regularity. In: SIAM Journal on Control and Optimization, 48 (2009). - S. 2407-2432.
doi:10.1137/080727610

Corinna Klapproth, Peter Deuflhard and Anton Schiela: A perturbation result for dynamical contact problems. In: Numerical Mathematics : Theory, Methods and Applications, 2 (2009). - S. 237-257.
doi:10.4208/nmtma.2009.m9003

Uwe Prüfert and Anton Schiela: The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints. In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik, 89 (2009). - S. 536-551.
doi:10.1002/zamm.200800097

Anton Schiela: Interior point methods in function space : Newton path-following and adaptivity. In: Oberwolfach Reports, 6 (2009). - S. 254-256.
doi:10.4171/OWR/2009/04

Robert Haller-Dintelmann, Christian Meyer, Joachim Rehberg and Anton Schiela: Hölder continuity and optimal control for nonsmooth elliptic problems. In: Applied Mathematics and Optimization, 60 (2009). - S. 397-428.
doi:10.1007/s00245-009-9077-x

Anton Schiela: Barrier methods for optimal control problems with state constraints. In: SIAM Journal on Optimization, 20 (2009). - S. 1002-1031.
doi:10.1137/070692789

Conference Proceedings (reviewed)    ↑ top

Anton Schiela: An extended mathematical framework for barrier methods in function space. In: Bercovier, Michel ; Gander, Martin J. ; Kornhuber, Ralf ; Widlund, Olof (Hrsg.): Domain decomposition methods in science and engineering XVIII. - Berlin, Heidelberg : Springer, 2009. - S. 201-208.
doi:10.1007/978-3-642-02677-5_21

2008

Articles (reviewed)    ↑ top

Anton Schiela and Martin Weiser: Superlinear convergence of the control reduced interior point method for PDE constrained optimization. In: Computational Optimization and Applications, 39 (2008). - S. 369-393.
doi:10.1007/s10589-007-9057-5

Anton Schiela: A simplified approach to semismooth Newton methods in function space. In: SIAM Journal on Optimization, 19 (2008). - S. 1417-1432.
doi:10.1137/060674375

Martin Weiser, Tobias Gänzler and Anton Schiela: A control reduced primal interior point method for a class of control constrained optimal control problems. In: Computational Optimization and Applications, 41 (2008). - S. 127-145.
doi:10.1007/s10589-007-9088-y

2007

Working Papers & Preprints    ↑ top

Anton Schiela: Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States. - Berlin, 2007. -

2006

Working Papers & Preprints    ↑ top

Anton Schiela: A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control. - Berlin, Germany, 2006. -

Anton Schiela: Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints. - Berlin, Germany, 2006. -

2005

Articles (reviewed)    ↑ top

Martin Weiser, Anton Schiela and Peter Deuflhard: Asymptotic mesh independence of Newton's method revisited. In: SIAM Journal on Numerical Analysis, 42 (2005). - S. 1830-1845.
doi:10.1137/S0036142903434047

2004

Articles (reviewed)    ↑ top

Martin Weiser and Anton Schiela: Function space interior point methods for PDE constrained optimization. In: Proceedings in Applied Mathematics and Mechanics, 4 (2004). - S. 43-46.
doi:10.1002/pamm.200410011

2003

Articles (reviewed)    ↑ top

Anton Schiela and Folkmar Bornemann: Sparsing in real time simulation. In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik, 83 (2003). - S. 637-647.
doi:10.1002/zamm.200310070

2000

Articles, Proceedings and Book Chapters (non-reviewed)    ↑ top

Anton Schiela and Hans Olsson: Mixed-mode integration for real-time simulation. In: Papers of the Modelica Workshop 2000. - Linköping, Sweden : Modelica Association, 2000. - S. 69-75.

Prof. Dr. Anton Schiela

Department of Mathematics
Chair of Applied Mathematics


Prof. Dr. Anton Schiela
Professor for Applied Mathematics

University of Bayreuth
Chair of Applied Mathematics
Universitätsstraße 30
95440 Bayreuth, Germany

Phone: +49 (0)921 55-3281
E-mail: anton.schiela@uni-bayreuth.de

Fax: +49 (0)921 55-5361
Room number: 3.2 O1 533
Building: NW II, main campus
Consultation hours: please contact me by email or video conference at the moment

responsible for the content: Lars Grüne

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