Anzahl der Einträge: 63.
2024
Weigl, Laura ; Schiela, Anton:
Newton's method for nonlinear mappings into vector bundles.
Bayreuth
,
2024
. - 31 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
Pötzl, Bastian ; Schiela, Anton ; Jaap, Patrick:
Inexact Proximal Newton methods in Hilbert spaces.
In: Computational Optimization and Applications.
(16 August 2023)
.
- S. 1-37.
ISSN 0926-6003
DOI: https://doi.org/10.1007/s10589-023-00515-x
Sproll, Tobias ; Schiela, Anton:
Numerical Solution of an Identifcation Problem in Electromyography.
Bayreuth
,
2023
. - 21 S.
2022
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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