Dr. Anton Schiela

Member of the research group:   Computational Medicine   of   Dr. Martin Weiser   at the   Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB).

Address

Scientific Interests:

Publications:

1. C. Meyer, L. Panizzi, A. Schiela: Uniqueness criteria for solutions of the adjoint equation in state-constrained optimal control, (Accepted for publication in "Numerical Functional Analysis and Optimization") (Preprint)
2. A. Schiela, A. Günther: An interior point algorithm with inexact step computation in function space for state constrained optimal control (Numerische Mathematik 119(2): 373-407(2011)) (Preprint)
3. C. Klapproth, A. Schiela, P. Deuflhard: Adaptive Timestep Control for the Contact-Stabilized Newmark Method (Accepted for publication in "Numerische Mathematik") (Preprint)
4. A. Schiela, W. Wollner: Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient Constraint (Accepted for publication in "SIAM Journal on Optimization") (Preprint)
5. A. Schiela, M. Weiser: Barrier methods for a control problem from hyperthermia treatment planning (Accepted for publication in "Recent Advantages in Optimization and its Applications in Engineering") (Preprint)
6. C. Klapproth, A. Schiela, P. Deuflhard: Consistency Results for the Contact-Stabilized Newmark Method (Numerische Mathematik 116(1): 65-94 (2010)) (Preprint)
7. M. Hinze, A. Schiela: Discretization of Interior Point Methods for State Constrained Elliptic Optimal Control Problems: Optimal Error Estimates and Parameter Adjustment. (Comp. Opt. and Appl. 48(3): 581-600 (2011) ), (Preprint)
8. A. Schiela: Barrier Methods for Optimal Control Problems with State Constraints. (SIAM J. on Optimization 20(2): 1002-1031 (2009)) , (Preprint)
9. U. Prüfert, A. Schiela: The Minimization of a maximum-norm functional subject to an elliptic PDE and state constraints. (Z. angew. Math. Mech., 89(7): 536-551, 2009), (Preprint)
10. A. Schiela: State constrained optimal control problems with states of low regularity. (SIAM J. on Control and Optimization 48(4): 2407-2432 (2009)) , (Preprint)
11. R. Haller-Dintelmann, Chr. Meyer, J. Rehberg, and A. Schiela: Hölder continuity and optimal control for nonsmooth elliptic problems. (Applied Mathematics and Optimization: 60(3) 397-428 (2009)), DOI: 10.1007/s00245-009-9077-x
12. C. Klapproth, P. Deuflhard, A. Schiela: A Perturbation Result for Dynamical Contact Problems. (Numerical Mathematics: Theory, Methods and Applications, 2(3), 237-257 (2009)) (Preprint)
13. A. Schiela: An Extended Mathematical Framework for Barrier Methods in Function Space. ("Domain Decomposition Methods in Science and Engineering XVIII" Series: Lecture Notes in Computational Science and Engineering, Vol.70: 201-208 (2009)) (Preprint)
14. A. Schiela: A Simplified Approach to Semismooth Newton Methods in Function Space. (SIAM J. Optimization, 19(3): 1417-1432, 2008)
15. A. Schiela, M. Weiser: Superlinear Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimization. (Comp. Opt. and Appl. 39(3): 369-393, 2008) (Preprint)
16. M. Weiser, T. Gänzler, A. Schiela: A Control Reduced Primal Interior Point Method for PDE Constrained Optimization. (Comp. Opt. and Appl. 41(1): 127-145, 2008) (Preprint) Awarded by the COAP Best Paper Award 2008
17. M. Weiser, A. Schiela, P. Deuflhard: Asymptotic Mesh Independence of Newton's Method Revisited. (SIAM J. Num. Anal. 42(5) : 1830-1845, 2005), (Preprint)
18. M. Weiser, A. Schiela: Function space interior point methods for PDE constrained optimization. (PAMM 4 (1): 43-46, 2004) (Preprint)
19. A. Schiela, F. Bornemann: Sparsing in Real Time Simulation. (Z. angew. Math. Mech. 83 : pp. 637-647 ,2003)
20. A. Schiela, H. Olsson: Mixed-mode integration for Real-time Simulation. (Modelica Workshop 2000 Proceedings, pp. 69-75)

ZIB-Reports:

1. ZIB Report 11-37: A. Schiela, M. Hintermüller: On the Length of the Primal-Dual Path in Moreau-Yosida-based Path-following for State Constrained Optimal Control: Analysis and Numerics
2. ZIB Report 11-23: A. Schiela, D. Wachsmuth: Convergence Analysis of Smoothing Methods for Optimal Control of Stationary Variational Inequalities
3. ZIB Report 10-25: S. Götschel, M. Weiser, A. Schiela: Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox, submitted
4. ZIB Report 07-44: A. Schiela: An Interior Point Method in Function Space for the Efficient Solution of State Constrained Optimal Control Problems, submitted
5. ZIB Report 07-35: A. Schiela: Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States.
6. ZIB Report 06-41: A. Schiela: A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control.
7. ZIB Report 06-16: A. Schiela: Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints.

Dissertation:

Presentations:

Teaching:

Curriculum Vitae