2022-01-20T07:18:04Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000190912021-03-01T16:22:49ZRegular solution to topology optimization problems of continuaAzegami, HideyukiKaizu, SatoshiTakeuchi, Kenzencalculus of variationsboundary value problemtopology optimizationdensity methodH1 gradient methodThe 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.日本応用数理学会2011engjournal articlehttp://hdl.handle.net/2237/21196https://nagoya.repo.nii.ac.jp/records/190911883-0609JSIAM Letters314https://nagoya.repo.nii.ac.jp/record/19091/files/3_1.pdfapplication/pdf188.9 kB2018-02-21