- journal article metadata
European Mathematical Society Publishing House
2018-01-05 23:40:02
Oberwolfach Reports
Oberwolfach Rep.
OWR
1660-8933
1660-8941
General
10.4171/OWR
http://www.ems-ph.org/doi/10.4171/OWR
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Mathematisches Forschungsinstitut Oberwolfach
14
2017
1
Mini-Workshop: Adaptive Methods for Control Problems Constrained by Time-Dependent PDEs
Max
Gunzburger
Florida State University, Tallahassee, USA
Karl
Kunisch
Karl-Franzens-Universität Graz, Austria
Angela
Kunoth
Universität zu Köln, Germany
Optimization problems constrained by time-dependent PDEs (Partial Differential Equations) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally in time and space for the unknown solutions (the state, the costate and the control of the system). Typical and practically relevant examples are the control of nonlinear heat equations as they appear in laser hardening or the thermic control of flow problems (Boussinesq equations). Specifically for PDEs with a long time horizon, conventional time-stepping methods require an enormous storage of the respective other variables. In contrast, adaptive methods aim at distributing the available degrees of freedom in an a-posteriori-fashion to capture singularities and are, therefore, most promising.
Numerical analysis
Calculus of variations and optimal control; optimization
167
211
10.4171/OWR/2017/4
http://www.ems-ph.org/doi/10.4171/OWR/2017/4
1
2
2018