49J20 Optimal control problems involving partial differential equations
Filtern
Erscheinungsjahr
- 2011 (1) (entfernen)
Dokumenttyp
- ZIB-Report (1) (entfernen)
Sprache
- Englisch (1)
Volltext vorhanden
- ja (1)
Gehört zur Bibliographie
- nein (1)
Schlagworte
- Adaptive Finite Elements (1) (entfernen)
Institut
We consider Large Deformation Diffeomorphic Metric Mapping of general $m$-currents. After stating an optimization algorithm in the function space of admissable morph generating velocity fields, two innovative aspects in this framework are presented and numerically investigated: First, we spatially discretize the velocity field with conforming adaptive finite elements and discuss advantages of this new approach. Second, we directly compute the temporal evolution of discrete $m$-current attributes.