caa a22 4500 475750314 CHVBK 20180406123521.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1023/A:1008725519350 doi (NATIONALLICENCE)springer-10.1023/A:1008725519350 Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints: Part 1. Boundary Control [Elektronische Daten] [Helmut Maurer, Hans Mittelmann] We study optimal control problems for semilinear elliptic equations subject to control and state inequality constraints. In a first part we consider boundary control problems with either Dirichlet or Neumann conditions. By introducing suitable discretization schemes, the control problem is transcribed into a nonlinear programming problem. It is shown that a recently developed interior point method is able to solve these problems even for high discretizations. Several numerical examples with Dirichlet and Neumann boundary conditions are provided that illustrate the performance of the algorithm for different types of controls including bang-bang and singular controls. The necessary conditions of optimality are checked numerically in the presence of active control and state constraints. Kluwer Academic Publishers, 2000 elliptic control problems nationallicence boundary control nationallicence control and state constraints nationallicence discretization techniques nationallicence interior point optimization methods nationallicence Maurer Helmut Institut für Numerische und instrumentelle Mathematik, Westfälische Wilhelms-Universität Münster, Einsteinstrasse 62, 48149, Münster, Germany aut Mittelmann Hans Department of Mathematics, Arizona State University, 85287-1804, Tempe, AZ, USA aut Computational Optimization and Applications Kluwer Academic Publishers 16/1(2000-04-01), 29-55 0926-6003 16:1<29 2000 16 10589 https://doi.org/10.1023/A:1008725519350 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008725519350 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Maurer Helmut Institut für Numerische und instrumentelle Mathematik, Westfälische Wilhelms-Universität Münster, Einsteinstrasse 62, 48149, Münster, Germany aut NATIONALLICENCE 700 1- Mittelmann Hans Department of Mathematics, Arizona State University, 85287-1804, Tempe, AZ, USA aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 16/1(2000-04-01), 29-55 0926-6003 16:1<29 2000 16 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 475750314 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer