Publications

Selected publications at the ERef server

Article in a journal (not assessed)

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


Article in a journal (assessed)

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 volume 24 (2014) issue 1. - page 108-126
doi:10.1137/120866762 ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton; Ulbrich, Stefan
Operator preconditioning for a class of inequality constrained optimal control problems
in SIAM Journal on Optimization volume 24 (2014) issue 1. - page 435-466
doi:10.1137/120877532 ...
rev.: AMS MathSciNet
revZentralblatt


Lubkoll, Lars; Schiela, Anton; Weiser, Martin
An optimal control problem in polyconvex hyperelasticity
in SIAM Journal on Control and Optimization volume 52 (2014) issue 3. - page 1403-1422
doi:10.1137/120876629 ...
rev.: AMS MathSciNet
revZentralblatt


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 volume 65 (2014) issue 6. - page 1261-1288
doi:10.1007/s00033-013-0389-y ...
rev.: AMS MathSciNet


Schiela, Anton
A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the conte ...
in Systems & Control Letters volume 62 (2013) issue 10. - page 895-901
doi:10.1016/j.sysconle.2013.06.013 ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton; Wachsmuth, Daniel
Convergence analysis of smoothing methods for optimal control of stationary variational inequal ...
in ESAIM : Mathematical Modelling and Numerical Analysis volume 47 (2013) issue 3. - page 771-787
doi:10.1051/m2an/2012049 ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton
An interior point method in function space for the efficient solution of state constrained opti ...
in Mathematical Programming Series A volume 138 (2013) issue 1-2. - page 83-114
doi:10.1007/s10107-012-0595-y ...
rev.: AMS MathSciNet
revZentralblatt


Deuflhard, Peter; Schiela, Anton; Weiser, Martin
Mathematical cancer therapy planning in deep regional hyperthermia
in Acta Numerica volume 21 (2012) . - page 307-378
doi:10.1017/S0962492912000049 ...
rev.: AMS MathSciNet
revZentralblatt


Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
Adaptive timestep control for the contact-stabilized Newmark method
in Numerische Mathematik volume 119 (2011) issue 1. - page 49-81
doi:10.1007/s00211-011-0374-3 ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton; Wollner, Winnifried
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints
in SIAM Journal on Optimization volume 21 (2011) issue 1. - page 269-286
doi:10.1137/080742154 ...
rev.: AMS MathSciNet
revZentralblatt


Hinze, Michael; Schiela, Anton
Discretization of interior point methods for state constrained elliptic optimal control problem ...
in Computational Optimization and Applications volume 48 (2011) issue 3. - page 581-600
doi:10.1007/s10589-009-9278-x ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton; Günther, Andreas
An interior point algorithm with inexact step computation in function space for state constrain ...
in Numerische Mathematik volume 119 (2011) issue 2. - page 373-407
doi:10.1007/s00211-011-0381-4 ...
rev.: AMS MathSciNet
revZentralblatt


Meyer, Christian; Panizzi, Lucia; Schiela, Anton
Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control
in Numerical Functional Analysis and Optimization volume 32 (2011) issue 9. - page 983-1007
doi:10.1080/01630563.2011.587074 ...
rev.: AMS MathSciNet
revZentralblatt


Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter
Consistency results on Newmark methods for dynamical contact problems
in Numerische Mathematik volume 116 (2010) issue 1. - page 65-94
doi:10.1007/s00211-010-0300-0 ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton
Barrier methods for optimal control problems with state constraints
in SIAM Journal on Optimization volume 20 (2009) issue 2. - page 1002-1031
doi:10.1137/070692789 ...
rev.: AMS MathSciNet
revZentralblatt


Haller-Dintelmann, Robert; Meyer, Christian; Rehberg, Joachim; Schiela, Anton
Hölder continuity and optimal control for nonsmooth elliptic problems
in Applied Mathematics and Optimization volume 60 (2009) issue 3. - page 397-428
doi:10.1007/s00245-009-9077-x ...
rev.: AMS MathSciNet
revZentralblatt


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 volume 89 (2009) issue 7. - page 536-551
doi:10.1002/zamm.200800097 ...
rev.: AMS MathSciNet
revZentralblatt


Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton
A perturbation result for dynamical contact problems
in Numerical Mathematics : Theory, Methods and Applications volume 2 (2009) issue 3. - page 237-257
doi:10.4208/nmtma.2009.m9003 ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton
State constrained optimal control problems with states of low regularity
in SIAM Journal on Control and Optimization volume 48 (2009) issue 4. - page 2407-2432
doi:10.1137/080727610 ...
rev.: AMS MathSciNet
revZentralblatt


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 volume 41 (2008) issue 1. - page 127-145
doi:10.1007/s10589-007-9088-y ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton
A simplified approach to semismooth Newton methods in function space
in SIAM Journal on Optimization volume 19 (2008) issue 3. - page 1417-1432
doi:10.1137/060674375 ...
rev.: AMS MathSciNet
revZentralblatt


Schiela, Anton; Weiser, Martin
Superlinear convergence of the control reduced interior point method for PDE constrained optimi ...
in Computational Optimization and Applications volume 39 (2008) issue 3. - page 369-393
doi:10.1007/s10589-007-9057-5 ...
rev.: AMS MathSciNet
revZentralblatt


Weiser, Martin; Schiela, Anton; Deuflhard, Peter
Asymptotic mesh independence of Newton's method revisited
in SIAM Journal on Numerical Analysis volume 42 (2005) issue 5. - page 1830-1845
doi:10.1137/S0036142903434047 ...
rev.: AMS MathSciNet
revZentralblatt


Weiser, Martin; Schiela, Anton
Function space interior point methods for PDE constrained optimization
in Proceedings in Applied Mathematics and Mechanics volume 4 (2004) issue 1. - page 43-46
doi:10.1002/pamm.200410011 ...


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


Article in a book (not assessed)

Deuflhard, Peter; Schiela, Anton
Katz und Maus
Besser als Mathe : Moderne angewandte Mathematik aus dem MATHEON zum Mitmachen. 2., aktualisierte Auflage
publ: Biermann, Katja; Grötschel, Martin; Lutz-Westphal, Brigitte
Wiesbaden : Springer Fachmedien, 2013. - page 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
publ: Hellmich, C.; Hamza, M. H.; Simsik, D.
Anaheim, CA u.a. : ACTA Press, 2012. - page 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. - page 69-75
https://www.modelica.org/events/workshop2000/proce ...


Article in a book (assessed)

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. - page 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. - page 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. - page 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. - page 201-208 . - (Lecture Notes in Computational Science and Engineering; 70)
doi:10.1007/978-3-642-02677-5_21 ...
rev.: Zentralblatt
revAMS MathSciNet


Conference item (not assessed)

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, discussion paper

Schiela, Anton; Ortiz, Julian
Second order directional shape derivatives
Bayreuth, 2017. - 29 page
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 page . - (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 page . - (Bericht / Technische Universität Hamburg-Harburg, Institut für Mathematik; 183)
https://www.mat.tu-harburg.de/forschung/rep/rep183 ...

Complete list of publications

For more information, in particular for a complete list of publications, please see my former homepage at the University of Technology in Hamburg-Harburg:
https://www.mat.tuhh.de/home/aschiela_en/

Chair -

|  University of Bayreuth -