Optimal Control of the Principal Coefficient in a Scalar Wave Equation

We consider optimal control of the scalar wave equation where the control enters as a coefficient in the principal part. Adding a total variation penalty allows showing existence of optimal controls, which requires continuity results for the coefficient-to-solution mapping for discontinuous coeffici...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics & optimization 2021-12, Vol.84 (3), p.2889-2921
Hauptverfasser:	Clason, Christian, Kunisch, Karl, Trautmann, Philip
Format:	Artikel
Sprache:	eng
Schlagworte:	Acoustics Algorithms Applied mathematics Boundary conditions Calculus of Variations and Optimal Control Optimization Coefficient of variation Control Fines & penalties Finite element analysis Finite element method Inverse problems Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical and Computational Physics Optimal control Optimization Simulation Systems Theory Theoretical Tomography Velocity Wave equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Schreiben Sie den ersten Kommentar!