Mathematical tools in optimal semiconductor design
by Michael Hinze   Ren'e Pinnau  

Vol. 2 No. 2 (2007) P.569~P.586

ABSTRACT

This paper intends to give a comprehensive overview on the basic mathematical tools which are presently used in optimal semiconductor design. Focusing on the drift diffusion model for semiconductor devices we collect available results concerning the solvability of design problems and present for the first time results on the uniqueness of optimal designs. We discuss the construction of descent algorithms employing the adjoint state and investigate their numerical performance. The feasibility of this approach is underlined by various numerical examples.

KEYWORDS
Adjoints, existence, gradient algorithm, numerics, optimal semiconductor design, uniqueness

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35J50, 49J20, 49K20

MILESTONES

Received: 2004-12-10
Revised : 2005-05-09
Accepted:

Download Full Content