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Finite Element Solution of Optimal Control Problems Arising in Semiconductor Modeling

  • Pavel Bochev
  • Denis Ridzal
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)

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.

Keywords

Optimal Control Problem State Equation Mixed Method Galerkin Method Semiconductor Device 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Pavel Bochev
    • 1
  • Denis Ridzal
    • 1
  1. 1.Computational Mathematics and Algorithms DepartmentSandia National LaboratoriesAlbuquerqueUSA

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