2007 / June Volume 2 No.2
Mathematical tools in optimal semiconductor design
| Published Date |
2007 / June
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|---|---|
| Title | Mathematical tools in optimal semiconductor design |
| Author | |
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| Pagination | 569-586 |
| 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.
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| AMS Subject Classification |
35J50, 49J20, 49K20
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| Received |
2005-05-09
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