@Article{CiCP-15-776,
author = {Zhengfang Zhang, Weifeng Chen and Xiaoliang Cheng},
title = {A Penalty Optimization Algorithm for Eigenmode Optimization Problem Using Sensitivity Analysis},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {3},
pages = {776--796},
abstract = {<p style="text-align: justify;">This paper investigates the eigenmode optimization problem governed by
the scalar Helmholtz equation in continuum system in which the computed eigenmode
approaches the prescribed eigenmode in the whole domain. The first variation for the
eigenmode optimization problem is evaluated by the quadratic penalty method, the
adjoint variable method, and the formula based on sensitivity analysis. A penalty
optimization algorithm is proposed, in which the density evolution is accomplished
by introducing an artificial time term and solving an additional ordinary differential
equation. The validity of the presented algorithm is confirmed by numerical results of
the first and second eigenmode optimizations in 1<em>D</em> and 2<em>D</em> problems.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.190313.090913a},
url = {http://global-sci.org/intro/article_detail/cicp/7115.html}
}