Publikationen

Ausgewählte Publikationen am ERef-Server

Beiträge in Zeitschriften (nicht begutachtet)

Schiela, Anton
Interior point methods in function space : Newton path-following and adaptivity
In: Oberwolfach Reports Bd. 6 (2009) Heft 04. - S. 254-256
doi:10.4171/OWR/2009/04 ...
Numerical Techniques for Optimization Problems with PDE Constraints, Oberwolfach, Germany


Beiträge in Zeitschriften (begutachtet)

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


Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried
The length of the primal-dual path in Moreau-Yosida-based path-following methods for state cons ...
In: SIAM Journal on Optimization Bd. 24 (2014) Heft 1. - S. 108-126
doi:10.1137/120866762 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1137/120877532 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1137/120876629 ...
Rez.: AMS MathSciNet
RezZentralblatt


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


Schiela, Anton
A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the conte ...
In: Systems & Control Letters Bd. 62 (2013) Heft 10. - S. 895-901
doi:10.1016/j.sysconle.2013.06.013 ...
Rez.: AMS MathSciNet
RezZentralblatt


Schiela, Anton; Wachsmuth, Daniel
Convergence analysis of smoothing methods for optimal control of stationary variational inequal ...
In: ESAIM : Mathematical Modelling and Numerical Analysis Bd. 47 (2013) Heft 3. - S. 771-787
doi:10.1051/m2an/2012049 ...
Rez.: AMS MathSciNet
RezZentralblatt


Schiela, Anton
An interior point method in function space for the efficient solution of state constrained opti ...
In: Mathematical Programming Series A Bd. 138 (2013) Heft 1-2. - S. 83-114
doi:10.1007/s10107-012-0595-y ...
Rez.: AMS MathSciNet
RezZentralblatt


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


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
doi:10.1007/s00211-011-0374-3 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1137/080742154 ...
Rez.: AMS MathSciNet
RezZentralblatt


Hinze, Michael; Schiela, Anton
Discretization of interior point methods for state constrained elliptic optimal control problem ...
In: Computational Optimization and Applications Bd. 48 (2011) Heft 3. - S. 581-600
doi:10.1007/s10589-009-9278-x ...
Rez.: AMS MathSciNet
RezZentralblatt


Schiela, Anton; Günther, Andreas
An interior point algorithm with inexact step computation in function space for state constrain ...
In: Numerische Mathematik Bd. 119 (2011) Heft 2. - S. 373-407
doi:10.1007/s00211-011-0381-4 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1080/01630563.2011.587074 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1007/s00211-010-0300-0 ...
Rez.: AMS MathSciNet
RezZentralblatt


Schiela, Anton
Barrier methods for optimal control problems with state constraints
In: SIAM Journal on Optimization Bd. 20 (2009) Heft 2. - S. 1002-1031
doi:10.1137/070692789 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1007/s00245-009-9077-x ...
Rez.: AMS MathSciNet
RezZentralblatt


Prüfert, Uwe; Schiela, Anton
The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik Bd. 89 (2009) Heft 7. - S. 536-551
doi:10.1002/zamm.200800097 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.4208/nmtma.2009.m9003 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1137/080727610 ...
Rez.: AMS MathSciNet
RezZentralblatt


Weiser, Martin; Gänzler, Tobias; Schiela, Anton
A control reduced primal interior point method for a class of control constrained optimal contr ...
In: Computational Optimization and Applications Bd. 41 (2008) Heft 1. - S. 127-145
doi:10.1007/s10589-007-9088-y ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1137/060674375 ...
Rez.: AMS MathSciNet
RezZentralblatt


Schiela, Anton; Weiser, Martin
Superlinear convergence of the control reduced interior point method for PDE constrained optimi ...
In: Computational Optimization and Applications Bd. 39 (2008) Heft 3. - S. 369-393
doi:10.1007/s10589-007-9057-5 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1137/S0036142903434047 ...
Rez.: AMS MathSciNet
RezZentralblatt


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
doi:10.1002/pamm.200410011 ...


Schiela, Anton; Bornemann, Folkmar
Sparsing in real time simulation
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik Bd. 83 (2003) Heft 10. - S. 637-647
doi:10.1002/zamm.200310070 ...
ECMI-Workshop "Numerical Methods in Multibody Dynamics'', Bad Herrenalb, Germany
Rez.: AMS MathSciNet
RezZentralblatt


Beiträge in Sammelbänden (nicht begutachtet)

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


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


Schiela, Anton; Olsson, Hans
Mixed-mode integration for real-time simulation
Papers of the Modelica Workshop 2000
Linköping, Sweden : Modelica Association, 2000. - S. 69-75
https://www.modelica.org/events/workshop2000/proce ...


Beiträge in Sammelbänden (begutachtet)

Götschel, Sebastian; Weiser, Martin; Schiela, Anton
Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox
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 ...


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


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


Schiela, Anton
An extended mathematical framework for barrier methods in function space
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 . - (Lecture Notes in Computational Science and Engineering; 70)
doi:10.1007/978-3-642-02677-5_21 ...
Rez.: Zentralblatt
RezAMS MathSciNet


Referierte Konferenzbeiträge und andere Vorträge (nicht begutachtet)

Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
Adaptive numerical integration of dynamical contact problems
Proceedings of the 2nd International Conference on Computational Contact Mechanics (ICCCM 2011), 2011, Hannover, Germany
2012
Thematic Conference of the European Community on Computational Methods in Applied Sciences (ECCOMAS), 2nd International Conference on Computational Contact Mechanics (ICCCM 2011), Hannover, Germany


Preprint, Postprint, Working paper, Diskussionspapier

Schiela, Anton; Ortiz, Julian
Second order directional shape derivatives
Bayreuth, 2017. - 29 S.
http://nbn-resolving.de/urn/resolver.pl?urn=urn:nb ...

Lubkoll, Lars; Schiela, Anton; Weiser, Martin
An affine covariant composite step method for optimization with PDEs as equality constraints
Berlin, Germany, 2015. - 40 S. . - (ZIB-Report; 15-09)
http://nbn-resolving.de/urn/resolver.pl?urn=urn:nb ...

Schiela, Anton
A flexible framework for cubic regularization algorithms for non-convex optimization in functio ...
Hamburg-Harburg, Germany, 2014. - 26 S. . - (Bericht / Technische Universität Hamburg-Harburg, Institut für Mathematik; 183)
https://www.mat.tu-harburg.de/forschung/rep/rep183 ...

vollständige Liste an Publikationen

Weitere Informationen (u.a. eine vollständige Liste meiner Publikationen) finden Sie auf meiner ehemaligen Homepage an der Technischen Universität Hamburg-Harburg:
https://www.mat.tuhh.de/home/aschiela/