Title
Optimal control in radiative transfer.
Abstract
A tracking-type optimal control problem for the radiative transfer equation (RTE) is studied, where we consider the source term in the RTE as control variable. Necessary and sufficient optimality conditions are derived. Numerical methods for the model equation and its adjoint are presented. Computational results based on a steepest descent method are given for two test examples underlining the feasibility of our approach.
Year
DOI
Venue
2007
10.1080/10556780701405783
Optimization Methods and Software
Keywords
Field
DocType
sufficient optimality condition,radiative transfer equation,computational result,test example,numerical method,control variable,tracking-type optimal control problem,model equation,source term,steepest descent method,optimal control,iteration method,iterative methods,first order,radiative transfer
Mathematical optimization,Optimal control,Method of steepest descent,Iterative method,Control variable,Numerical analysis,Radiative transfer,Mathematics
Journal
Volume
Issue
ISSN
22
6
1055-6788
Citations 
PageRank 
References 
2
0.72
1
Authors
3
Name
Order
Citations
PageRank
Michael Herty123947.31
René Pinnau22410.40
Mohammed Seaïd35416.35