Abstract
The optimization of computationally expensive objective functions requires approximations that preserve the global properties of the function under investigation. The RSM approach of using multivariate polynomials of degree two can only preserve the local properties of a given function and is therefore not well-suited for global optimization tasks. In this paper we discuss generalized Bernstein polynomials that provide faithful approximations by converging uniformly to the given function. Apart from being useful for optimization tasks, they can also be used for solving design for manufacturability problems.
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© 2001 Springer-Verlag Wien
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Heitzinger, C., Selberherr, S. (2001). Optimization for TCAD Purposes Using Bernstein Polynomials. In: Tsoukalas, D., Tsamis, C. (eds) Simulation of Semiconductor Processes and Devices 2001. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6244-6_97
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DOI: https://doi.org/10.1007/978-3-7091-6244-6_97
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7278-0
Online ISBN: 978-3-7091-6244-6
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