@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}
}