Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Optimization and inverse problems in radiative heat transfer
 Leugering, G.: Constrained optimization and optimal control for partial differential equations Basel: Birkhäuser, 2012 (International series of numerical mathematics 160) ISBN: 3034801327 ISBN: 9783034801324 (Print) ISBN: 9783034801331 (Online) ISSN: 03733149 S.597609 

 Englisch 
 Aufsatz in Buch 
 Fraunhofer ITWM () 
Abstract
We discuss the derivation and investigation of efficient mathematical methods for the solution of optimization and identification problems for radiation dominant processes, which are described by a nonlinear integrodifferential system or diffusive type approximations. These processes are for example relevant in glass production or in the layout of gas turbine combustion chambers. The main focus is on the investigation of optimization algorithms based on the adjoint variables, which are applied to the full radiative heat transfer system as well as to diffusive type approximations. In addition to the optimization we also study new approaches to the reconstruction of the initial temperature from boundary measurements, since its precise knowledge is mandatory for any satisfactory simulation. In particular, we develop a fast, derivativefree method for the solution of the inverse problem, such that we can use many different models for the simulation of the radiative process.