Veröffentlichungen "Schiela, Anton"

2024

Weigl, Laura ; Schiela, Anton:
Newton's method for nonlinear mappings into vector bundles.
Bayreuth , 2024 . - 25 S.
DOI: https://doi.org/10.48550/arXiv.2404.04073

Köhne, Frederik ; Philipp, Friedrich M. ; Schaller, Manuel ; Schiela, Anton ; Worthmann, Karl:
L∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition.
Ilmenau ; Bayreuth , 2024 . - 21 S.
DOI: https://doi.org/10.48550/arXiv.2403.18809

2023

Köhne, Frederik ; Kreis, Leonie ; Schiela, Anton ; Herzog, Roland:
Adaptive Step Sizes for Preconditioned Stochastic Gradient Descent.
Bayreuth ; Heidelberg , 2023 . - 31 S.
DOI: https://doi.org/10.48550/arXiv.2311.16956

Herzog, Roland ; Köhne, Frederik ; Kreis, Leonie ; Schiela, Anton:
Frobenius-Type Norms and Inner Products of Matrices and Linear Maps with Applications to Neural Network Training.
Bayreuth ; Heidelberg , 2023 . - 14 S.
DOI: https://doi.org/10.48550/arXiv.2311.15419

Herberg, Evelyn ; Herzog, Roland ; Köhne, Frederik ; Kreis, Leonie ; Schiela, Anton:
Sensitivity-Based Layer Insertion for Residual and Feedforward Neural Networks.
Bayreuth ; Heidelberg , 2023 . - 15 S.
DOI: https://doi.org/10.48550/arXiv.2311.15995

Sproll, Tobias ; Schiela, Anton:
Numerical Solution of an Identifcation Problem in Electromyography.
Bayreuth , 2023 . - 21 S.

2022

Pötzl, Bastian ; Schiela, Anton ; Jaap, Patrick:
Inexact Proximal Newton methods in Hilbert spaces.
Bayreuth , 2022 . - 27 S.
DOI: https://doi.org/10.48550/arXiv.2204.12168

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Efficient Model Predictive Control for parabolic PDEs with goal oriented error estimation.
In: SIAM Journal on Scientific Computing. Bd. 44 (2022) Heft 1 . - A471-A500.
ISSN 1095-7197
DOI: https://doi.org/10.1137/20M1356324

Pötzl, Bastian ; Schiela, Anton ; Jaap, Patrick:
Second order semi-smooth proximal Newton methods in Hilbert spaces.
In: Computational Optimization and Applications. Bd. 82 (2022) . - S. 465-498.
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-022-00369-9

2021

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs.
In: ESAIM : Control, Optimisation and Calculus of Variations. Bd. 27 (2021) . - 56.
ISSN 1262-3377
DOI: https://doi.org/10.1051/cocv/2021030

Sproll, Tobias ; Schiela, Anton:
An adjoint approach to identification in Electromyography : Modeling and first order optimality conditions.
In: Inverse Problems. Bd. 37 (2021) Heft 12 . - 125012.
ISSN 0266-5611
DOI: https://doi.org/10.1088/1361-6420/ac362c

2020

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity analysis for Model Predictive Control of PDEs.
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 4 S.

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations.
In: Journal of Differential Equations. Bd. 268 (2020) Heft 12 . - S. 7311-7341.
ISSN 1090-2732
DOI: https://doi.org/10.1016/j.jde.2019.11.064

Hahn, Markus ; Schiela, Anton ; Mößle, Patrick ; Katzer, Felix ; Danzer, Michael A.:
Revealing inhomogeneities in electrode lithiation using a real-time discrete electro-chemical model.
In: Journal of Power Sources. Bd. 477 (2020) . - 228672.
ISSN 0378-7753
DOI: https://doi.org/10.1016/j.jpowsour.2020.228672

2019

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

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

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

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control.
In: SIAM Journal on Control and Optimization. Bd. 57 (2019) Heft 4 . - S. 2753-2774.
ISSN 1095-7138
DOI: https://doi.org/10.1137/18M1223083

2018

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

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

Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
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

Sproll, Tobias ; Schiela, Anton ; Lowery, Madeleine:
Numerical Identification of Motor Units using an Optimal Control Approach.
In: IFAC-PapersOnLine. Bd. 51 (2018) Heft 2 . - S. 174-179.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2018.03.030

2017

Clason, Christian ; Schiela, Anton:
Optimal control of elliptic equations with positive measures.
In: ESAIM : Control, Optimisation and Calculus of Variations. Bd. 23 (2017) Heft 1 . - S. 217-240.
ISSN 1262-3377
DOI: https://doi.org/10.1051/cocv/2015046

2016

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

2015

Lubkoll, Lars ; Schiela, Anton ; Weiser, Martin:
An affine covariant composite step method for optimization with PDEs as equality constraints.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2015 . - 40 S. - (ZIB-Report ; 15-09 )

2014

Schiela, Anton:
A flexible framework for cubic regularization algorithms for non-convex optimization in function space.
Hamburg-Harburg , 2014 . - 26 S. - (Bericht / Technische Universität Hamburg-Harburg, Institut für Mathematik ; 183 )

Hintermüller, Michael ; Schiela, Anton ; Wollner, Winnifried:
The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control.
In: SIAM Journal on Optimization. Bd. 24 (2014) Heft 1 . - S. 108-126.
ISSN 1095-7189
DOI: https://doi.org/10.1137/120866762

Rez.:

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Schiela, Anton ; Ulbrich, Stefan:
Operator preconditioning for a class of inequality constrained optimal control problems.
In: SIAM Journal on Optimization. Bd. 24 (2014) Heft 1 . - S. 435-466.
ISSN 1095-7189
DOI: https://doi.org/10.1137/120877532

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Lubkoll, Lars ; Schiela, Anton ; Weiser, Martin:
An optimal control problem in polyconvex hyperelasticity.
In: SIAM Journal on Control and Optimization. Bd. 52 (2014) Heft 3 . - S. 1403-1422.
ISSN 1095-7138
DOI: https://doi.org/10.1137/120876629

Rez.:

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Sander, Oliver ; Schiela, Anton:
Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum.
In: Zeitschrift für angewandte Mathematik und Physik. Bd. 65 (2014) Heft 6 . - S. 1261-1288.
ISSN 0044-2275
DOI: https://doi.org/10.1007/s00033-013-0389-y

Rez.:

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2013

Schiela, Anton:
A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control.
In: Systems & Control Letters. Bd. 62 (2013) Heft 10 . - S. 895-901.
ISSN 1872-7956
DOI: https://doi.org/10.1016/j.sysconle.2013.06.013

Rez.:

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Schiela, Anton ; Wachsmuth, Daniel:
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints.
In: ESAIM : Mathematical Modelling and Numerical Analysis. Bd. 47 (2013) Heft 3 . - S. 771-787.
ISSN 0764-583X
DOI: https://doi.org/10.1051/m2an/2012049

Rez.:

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Schiela, Anton:
An interior point method in function space for the efficient solution of state constrained optimal control problems.
In: Mathematical Programming Series A. Bd. 138 (2013) Heft 1-2 . - S. 83-114.
ISSN 0025-5610
DOI: https://doi.org/10.1007/s10107-012-0595-y

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Deuflhard, Peter ; Schiela, Anton:
Katz und Maus.
In: Besser als Mathe : Moderne angewandte Mathematik aus dem MATHEON zum Mitmachen. 2., aktualisierte Auflage. - Wiesbaden : Springer Fachmedien , 2013 . - S. 29-40
ISBN 978-3-658-01003-4
DOI: https://doi.org/10.1007/978-3-658-01004-1_5

2012

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive numerical integration of dynamical contact problems.
2012
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.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Fast algorithms for the simulation of human knee joint motion.
In: Proceedings of the IASTED International Conference on Biomedical Engineering (BioMed 2012), February 15-17, 2012, Innsbruck, Austria. - Anaheim, CA : ACTA Press , 2012 . - S. 696-699
ISBN 978-0-88986-919-6
DOI: https://doi.org/10.2316/P.2012.764-176

Deuflhard, Peter ; Schiela, Anton ; Weiser, Martin:
Mathematical cancer therapy planning in deep regional hyperthermia.
In: Acta Numerica. Bd. 21 (2012) . - S. 307-378.
ISSN 0962-4929
DOI: https://doi.org/10.1017/S0962492912000049

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Götschel, Sebastian ; Weiser, Martin ; Schiela, Anton:
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 : Springer , 2012 . - S. 101-112
ISBN 978-3-642-28588-2
DOI: https://doi.org/10.1007/978-3-642-28589-9_8

2011

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive timestep control for the contact-stabilized Newmark method.
In: Numerische Mathematik. Bd. 119 (2011) Heft 1 . - S. 49-81.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-011-0374-3

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Schiela, Anton ; Wollner, Winnifried:
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints.
In: SIAM Journal on Optimization. Bd. 21 (2011) Heft 1 . - S. 269-286.
ISSN 1095-7189
DOI: https://doi.org/10.1137/080742154

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Hinze, Michael ; Schiela, Anton:
Discretization of interior point methods for state constrained elliptic optimal control problems : optimal error estimates and parameter adjustment.
In: Computational Optimization and Applications. Bd. 48 (2011) Heft 3 . - S. 581-600.
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-009-9278-x

Rez.:

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Schiela, Anton ; Günther, Andreas:
An interior point algorithm with inexact step computation in function space for state constrained optimal control.
In: Numerische Mathematik. Bd. 119 (2011) Heft 2 . - S. 373-407.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-011-0381-4

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Meyer, Christian ; Panizzi, Lucia ; Schiela, Anton:
Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control.
In: Numerical Functional Analysis and Optimization. Bd. 32 (2011) Heft 9 . - S. 983-1007.
ISSN 1532-2467
DOI: https://doi.org/10.1080/01630563.2011.587074

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2010

Schiela, Anton ; Weiser, Martin:
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
ISBN 978-3-642-12597-3
DOI: https://doi.org/10.1007/978-3-642-12598-0_36

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Consistency results on Newmark methods for dynamical contact problems.
In: Numerische Mathematik. Bd. 116 (2010) Heft 1 . - S. 65-94.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-010-0300-0

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Deuflhard, Peter ; Kornhuber, Ralf ; Sander, Oliver ; Schiela, Anton ; Weiser, Martin:
Mathematics cures virtual patients.
In: MATHEON - Mathematics for Key Technologies. - Zürich : European Math. Soc. , 2010 . - S. 7-25 . - (EMS Series in Industrial and Applied Mathematics ; 1 )
ISBN 978-3-03719-137-8
DOI: https://doi.org/10.4171/137

2009

Schiela, Anton:
Barrier methods for optimal control problems with state constraints.
In: SIAM Journal on Optimization. Bd. 20 (2009) Heft 2 . - S. 1002-1031.
ISSN 1095-7189
DOI: https://doi.org/10.1137/070692789

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Schiela, Anton:
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 : Springer , 2009 . - S. 201-208 . - (Lecture Notes in Computational Science and Engineering ; 70 )
ISBN 973-595-031-6
DOI: https://doi.org/10.1007/978-3-642-02677-5_21

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Haller-Dintelmann, Robert ; Meyer, Christian ; Rehberg, Joachim ; Schiela, Anton:
Hölder continuity and optimal control for nonsmooth elliptic problems.
In: Applied Mathematics and Optimization. Bd. 60 (2009) Heft 3 . - S. 397-428.
ISSN 1432-0606
DOI: https://doi.org/10.1007/s00245-009-9077-x

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Schiela, Anton:
Interior point methods in function space : Newton path-following and adaptivity.
In: Oberwolfach Reports. Bd. 6 (2009) Heft 04 . - S. 254-256.
ISSN 1660-8941
DOI: https://doi.org/10.4171/OWR/2009/04

Prüfert, Uwe ; Schiela, Anton:
The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints.
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik. Bd. 89 (2009) Heft 7 . - S. 536-551.
ISSN 1521-4001
DOI: https://doi.org/10.1002/zamm.200800097

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Klapproth, Corinna ; Deuflhard, Peter ; Schiela, Anton:
A perturbation result for dynamical contact problems.
In: Numerical Mathematics : Theory, Methods and Applications. Bd. 2 (2009) Heft 3 . - S. 237-257.
ISSN 1004-8979
DOI: https://doi.org/10.4208/nmtma.2009.m9003

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Schiela, Anton:
State constrained optimal control problems with states of low regularity.
In: SIAM Journal on Control and Optimization. Bd. 48 (2009) Heft 4 . - S. 2407-2432.
ISSN 1095-7138
DOI: https://doi.org/10.1137/080727610

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2008

Weiser, Martin ; Gänzler, Tobias ; Schiela, Anton:
A control reduced primal interior point method for a class of control constrained optimal control problems.
In: Computational Optimization and Applications. Bd. 41 (2008) Heft 1 . - S. 127-145.
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-007-9088-y

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Schiela, Anton:
A simplified approach to semismooth Newton methods in function space.
In: SIAM Journal on Optimization. Bd. 19 (2008) Heft 3 . - S. 1417-1432.
ISSN 1095-7189
DOI: https://doi.org/10.1137/060674375

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Schiela, Anton ; Weiser, Martin:
Superlinear convergence of the control reduced interior point method for PDE constrained optimization.
In: Computational Optimization and Applications. Bd. 39 (2008) Heft 3 . - S. 369-393.
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-007-9057-5

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2007

Schiela, Anton:
Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2007 . - (ZIB-Report ; 07-35 )

2006

Schiela, Anton:
A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2006 . - (ZIB-Report ; 06-41 )

Schiela, Anton:
Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2006 . - (ZIB-Report ; 06-16 )

2005

Weiser, Martin ; Schiela, Anton ; Deuflhard, Peter:
Asymptotic mesh independence of Newton's method revisited.
In: SIAM Journal on Numerical Analysis. Bd. 42 (2005) Heft 5 . - S. 1830-1845.
ISSN 1095-7170
DOI: https://doi.org/10.1137/S0036142903434047

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2004

Weiser, Martin ; Schiela, Anton:
Function space interior point methods for PDE constrained optimization.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 4 (2004) Heft 1 . - S. 43-46.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.200410011

2003

Schiela, Anton ; Bornemann, Folkmar:
Sparsing in real time simulation.
In: ZAMM : Journal of Applied Mathematics and Mechanics = Zeitschrift für angewandte Mathematik und Mechanik. Bd. 83 (2003) Heft 10 . - S. 637-647.
ISSN 1521-4001
DOI: https://doi.org/10.1002/zamm.200310070

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2000

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