Finite Element Solution of Optimal Control Problems Arising in Semiconductor Modeling

  • Pavel Bochev
  • Denis Ridzal
Conference paper

DOI: 10.1007/978-3-540-78827-0_25

Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)
Cite this paper as:
Bochev P., Ridzal D. (2008) Finite Element Solution of Optimal Control Problems Arising in Semiconductor Modeling. In: Lirkov I., Margenov S., Waśniewski J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg

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.

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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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