Anton Schiela

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 19

Top Topics

Conjugate Gradient

Model Predictive Control

Optimal Control

Top Venues

Comput. Optim. Appl.

J. Optim. Theory Appl.

Publications

Frederik Köhne, Friedrich M. Philipp, Manuel Schaller, Anton Schiela, Karl Worthmann
-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition. CoRR (2024)
Laura Weigl, Anton Schiela
Newton's method for nonlinear mappings into vector bundles. CoRR (2024)
Bastian Pötzl, Anton Schiela, Patrick Jaap
Inexact proximal Newton methods in Hilbert spaces. Comput. Optim. Appl. 87 (1) (2024)
Evelyn Herberg, Roland Herzog, Frederik Köhne, Leonie Kreis, Anton Schiela
Sensitivity-Based Layer Insertion for Residual and Feedforward Neural Networks. CoRR (2023)
Roland Herzog, Frederik Köhne, Leonie Kreis, Anton Schiela
Frobenius-Type Norms and Inner Products of Matrices and Linear Maps with Applications to Neural Network Training. CoRR (2023)
Anton Schiela
A Monotonicity Result for Norms in Conjugate Gradient Algorithms. J. Optim. Theory Appl. 196 (1) (2023)
Frederik Köhne, Leonie Kreis, Anton Schiela, Roland Herzog
Adaptive Step Sizes for Preconditioned Stochastic Gradient Descent. CoRR (2023)
Ronny Bergmann, Roland Herzog, Julián Ortiz López, Anton Schiela
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints. J. Optim. Theory Appl. 195 (2) (2022)
Lars Grüne, Manuel Schaller, Anton Schiela
Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation. SIAM J. Sci. Comput. 44 (1) (2022)
Bastian Pötzl, Anton Schiela, Patrick Jaap
Second order semi-smooth Proximal Newton methods in Hilbert spaces. Comput. Optim. Appl. 82 (2) (2022)
Anton Schiela, Julian Ortiz
An SQP Method for Equality Constrained Optimization on Hilbert Manifolds. SIAM J. Optim. 31 (3) (2021)
Anton Schiela, Matthias Stöcklein, Martin Weiser
A Primal-Dual Projection Algorithm for Efficient Constraint Preconditioning. SIAM J. Sci. Comput. 43 (6) (2021)
Sebastian Götschel, Anton Schiela, Martin Weiser
Kaskade 7 - A flexible finite element toolbox. Comput. Math. Appl. 81 (2021)
Bastian Pötzl, Anton Schiela, Patrick Jaap
Second order semi-smooth Proximal Newton methods in Hilbert spaces. CoRR (2021)
Anton Schiela, Matthias Stöcklein, Martin Weiser
A primal dual projection algorithm for efficient constraint preconditioning. CoRR (2020)
Lars Grüne, Manuel Schaller, Anton Schiela
Efficient MPC for parabolic PDEs with goal oriented error estimation. CoRR (2020)
Lars Grüne, Manuel Schaller, Anton Schiela
Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control. SIAM J. Control. Optim. 57 (4) (2019)
Lars Lubkoll, Anton Schiela, Martin Weiser
An affine covariant composite step method for optimization with PDEs as equality constraints. Optim. Methods Softw. 32 (5) (2017)
Georg Müller, Anton Schiela
On the control of time discretized dynamic contact problems. Comput. Optim. Appl. 68 (2) (2017)
Peter Benner, Roland Herzog, Michael Hinze, Arnd Rösch, Anton Schiela, Volker Schulz
Introduction to the special issue for EUCCO 2013. Comput. Optim. Appl. 62 (1) (2015)
Anton Schiela, Stefan Ulbrich
Operator Preconditioning for a Class of Inequality Constrained Optimal Control Problems. SIAM J. Optim. 24 (1) (2014)
Michael Hintermüller, Anton Schiela, Winnifried Wollner
The Length of the Primal-Dual Path in Moreau-Yosida-Based Path-Following Methods for State Constrained Optimal Control. SIAM J. Optim. 24 (1) (2014)
Lars Lubkoll, Anton Schiela, Martin Weiser
An Optimal Control Problem in Polyconvex Hyperelasticity. SIAM J. Control. Optim. 52 (3) (2014)
Anton Schiela
An interior point method in function space for the efficient solution of state constrained optimal control problems. Math. Program. 138 (1-2) (2013)
Anton Schiela
A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control. Syst. Control. Lett. 62 (10) (2013)
Peter Deuflhard, Anton Schiela, Martin Weiser
Mathematical cancer therapy planning in deep regional hyperthermia. Acta Numer. 21 (2012)
Anton Schiela, Winnifried Wollner
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints. SIAM J. Optim. 21 (1) (2011)
Corinna Klapproth, Anton Schiela, Peter Deuflhard
Adaptive timestep control for the contact-stabilized Newmark method. Numerische Mathematik 119 (1) (2011)
Anton Schiela, Andreas Günther
An interior point algorithm with inexact step computation in function space for state constrained optimal control. Numerische Mathematik 119 (2) (2011)
Michael Hinze, Anton Schiela
Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment. Comput. Optim. Appl. 48 (3) (2011)
Corinna Klapproth, Anton Schiela, Peter Deuflhard
Consistency results on Newmark methods for dynamical contact problems. Numerische Mathematik 116 (1) (2010)
Anton Schiela
State Constrained Optimal Control Problems with States of Low Regularity. SIAM J. Control. Optim. 48 (4) (2009)
Anton Schiela
Barrier Methods for Optimal Control Problems with State Constraints. SIAM J. Optim. 20 (2) (2009)
Anton Schiela
A Simplified Approach to Semismooth Newton Methods in Function Space. SIAM J. Optim. 19 (3) (2008)
Martin Weiser, Tobias Gänzler, Anton Schiela
A control reduced primal interior point method for a class of control constrained optimal control problems. Comput. Optim. Appl. 41 (1) (2008)
Anton Schiela, Martin Weiser
Superlinear convergence of the control reduced interior point method for PDE constrained optimization. Comput. Optim. Appl. 39 (3) (2008)
Martin Weiser, Anton Schiela, Peter Deuflhard
Asymptotic Mesh Independence of Newton's Method Revisited. SIAM J. Numer. Anal. 42 (5) (2005)