Title
Finite Element Solution of Optimal Control Problems Arising in Semiconductor Modeling
Abstract
Optimal design, parameter estimation, and inverse problems arising in the modeling of semiconductor devices lead to optimization problems constrained by systems of PDEs. We study the impact of different state equation discretizations on optimization problems whose objective functionals involve flux terms. Galerkin methods, in which the flux is a derived quantity, are compared with mixed Galerkin discretizations where the flux is approximated directly. Our results show that the latter approach leads to more robust and accurate solutions of the optimization problem, especially for highly heterogeneous materials with large jumps in material properties.
Year
DOI
Venue
2007
10.1007/978-3-540-78827-0_25
Large-Scale Scientific Computing
Keywords
DocType
Volume
galerkin method,semiconductor modeling,inverse problem,finite element solution,optimal control,flux term,latter approach,accurate solution,optimization problem,different state equation discretizations,heterogeneous material,mixed galerkin discretizations,large jump,semiconductor devices,parameter estimation,optimal design,material properties,objective function
Conference
4818
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Pavel Bochev1143.75
Denis Ridzal2759.99