@article{oai:nagoya.repo.nii.ac.jp:00019091,
author = {Azegami, Hideyuki and Kaizu, Satoshi and Takeuchi, Kenzen},
journal = {JSIAM Letters},
month = {},
note = {The present paper describes a numerical solution to topology optimization problems of domains in which boundary value problems of partial differential equations are defined. Density raised to a power is used instead of the characteristic function of the domain. A design variable is set by a function on a fixed domain which is converted to the density by a sigmoidal function. Evaluation of derivatives of cost functions with respect to the design variable appear as stationary conditions of the Lagrangians. A numerical solution is constructed by a gradient method in a design space for the design variable.},
pages = {1--4},
title = {Regular solution to topology optimization problems of continua},
volume = {3},
year = {2011}
}