Asymptotic Mesh Independence of Newton's Method Revisited. - Martin Weiser; Anton Schiela; Peter Deuflhard (SIAM J. Numer. Anal., 2005)

Superlinear convergence of the control reduced interior point method for PDE constrained optimization. - Anton Schiela; Martin Weiser (Comput. Optim. Appl., 2008)

A control reduced primal interior point method for a class of control constrained optimal control problems. - Martin Weiser; Tobias Gänzler; Anton Schiela (Comput. Optim. Appl., 2008)

A Simplified Approach to Semismooth Newton Methods in Function Space. - Anton Schiela (SIAM J. Optim., 2008)

State Constrained Optimal Control Problems with States of Low Regularity. - Anton Schiela (SIAM J. Control. Optim., 2009)

Barrier Methods for Optimal Control Problems with State Constraints. - Anton Schiela (SIAM J. Optim., 2009)

Consistency results on Newmark methods for dynamical contact problems. - Corinna Klapproth; Anton Schiela; Peter Deuflhard (Numerische Mathematik, 2010)

Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment. - Michael Hinze; Anton Schiela (Comput. Optim. Appl., 2011)

Adaptive timestep control for the contact-stabilized Newmark method. - Corinna Klapproth; Anton Schiela; Peter Deuflhard (Numerische Mathematik, 2011)

An interior point algorithm with inexact step computation in function space for state constrained optimal control. - Anton Schiela; Andreas Günther (Numerische Mathematik, 2011)

Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints. - Anton Schiela; Winnifried Wollner (SIAM J. Optim., 2011)

Mathematical cancer therapy planning in deep regional hyperthermia. - Peter Deuflhard; Anton Schiela; Martin Weiser (Acta Numer., 2012)

An interior point method in function space for the efficient solution of state constrained optimal control problems. - Anton Schiela (Math. Program., 2013)

A concise proof for existence and uniqueness of solutions of linear parabolic PDEs in the context of optimal control. - Anton Schiela (Syst. Control. Lett., 2013)

An Optimal Control Problem in Polyconvex Hyperelasticity. - Lars Lubkoll; Anton Schiela; Martin Weiser (SIAM J. Control. Optim., 2014)

The Length of the Primal-Dual Path in Moreau-Yosida-Based Path-Following Methods for State Constrained Optimal Control. - Michael Hintermüller; Anton Schiela; Winnifried Wollner (SIAM J. Optim., 2014)

Operator Preconditioning for a Class of Inequality Constrained Optimal Control Problems. - Anton Schiela; Stefan Ulbrich (SIAM J. Optim., 2014)

Introduction to the special issue for EUCCO 2013. - Peter Benner; Roland Herzog; Michael Hinze; Arnd Rösch; Anton Schiela; Volker Schulz 001 (Comput. Optim. Appl., 2015)

On the control of time discretized dynamic contact problems. - Georg Müller; Anton Schiela (Comput. Optim. Appl., 2017)

An affine covariant composite step method for optimization with PDEs as equality constraints. - Lars Lubkoll; Anton Schiela; Martin Weiser (Optim. Methods Softw., 2017)

Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control. - Lars Grüne; Manuel Schaller; Anton Schiela (SIAM J. Control. Optim., 2019)

Efficient MPC for parabolic PDEs with goal oriented error estimation. - Lars Grüne; Manuel Schaller; Anton Schiela (CoRR, 2020)

Kaskade 7 - A flexible finite element toolbox. - Sebastian Götschel; Anton Schiela; Martin Weiser (Comput. Math. Appl., 2021)

An SQP Method for Equality Constrained Optimization on Hilbert Manifolds. - Anton Schiela; Julian Ortiz (SIAM J. Optim., 2021)

A Primal-Dual Projection Algorithm for Efficient Constraint Preconditioning. - Anton Schiela; Matthias Stöcklein; Martin Weiser (SIAM J. Sci. Comput., 2021)

Second order semi-smooth Proximal Newton methods in Hilbert spaces. - Bastian Pötzl; Anton Schiela; Patrick Jaap (Comput. Optim. Appl., 2022)

First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints. - Ronny Bergmann; Roland Herzog; Julián Ortiz López; Anton Schiela (J. Optim. Theory Appl., 2022)

Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation. - Lars Grüne; Manuel Schaller; Anton Schiela (SIAM J. Sci. Comput., 2022)

Frobenius-Type Norms and Inner Products of Matrices and Linear Maps with Applications to Neural Network Training. - Roland Herzog; Frederik Köhne; Leonie Kreis; Anton Schiela (CoRR, 2023)

Sensitivity-Based Layer Insertion for Residual and Feedforward Neural Networks. - Evelyn Herberg; Roland Herzog; Frederik Köhne; Leonie Kreis; Anton Schiela (CoRR, 2023)

Adaptive Step Sizes for Preconditioned Stochastic Gradient Descent. - Frederik Köhne; Leonie Kreis; Anton Schiela; Roland Herzog (CoRR, 2023)

A Monotonicity Result for Norms in Conjugate Gradient Algorithms. - Anton Schiela (J. Optim. Theory Appl., 2023)

L∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition. - Frederik Köhne; Friedrich M. Philipp; Manuel Schaller; Anton Schiela; Karl Worthmann (CoRR, 2024)

Newton's method for nonlinear mappings into vector bundles. - Laura Weigl; Anton Schiela (CoRR, 2024)

Inexact proximal Newton methods in Hilbert spaces. - Bastian Pötzl; Anton Schiela; Patrick Jaap (Comput. Optim. Appl., 2024)

( boldsymbol{L}^{ boldsymbol{ infty }} )-error Bounds for Approximations of the Koopman Operator by Kernel Extended Dynamic Mode Decomposition. - Frederik Köhne; Friedrich M. Philipp; Manuel Schaller; Anton Schiela; Karl Worthmann (SIAM J. Appl. Dyn. Syst., 2025)

Numerical Solution of an Identification Problem in Electromyography. - Tobias Sproll; Anton Schiela (SIAM J. Sci. Comput., 2025)

An Exponential Averaging Process with Strong Convergence Properties. - Frederik Köhne; Anton Schiela (CoRR, 2025)

Newton's method for nonlinear mappings into vector bundles Part II: Application to variational problems. - Laura Weigl; Ronny Bergmann; Anton Schiela (CoRR, 2025)