2024-03-29T02:35:44Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00023511
2023-01-16T04:13:14Z
312:313:314
Shape optimization of an electrostatic capacitive sensor
Satake, Masayoshi
69764
Maeda, Noboru
69765
Fukui, Shinji
69766
Azegami, Hideyuki
69767
Shape optimization
Electromagnetics
Electrostatic capacitive sensor
Shape derivative
H1 gradient method
This paper describes the shape optimization of an electrostatic capacitive sensor used to detect fingers. We consider two state determination problems. The first is a basic electrostatic field problem consisting of sensing electrodes, an earth electrode, and air. The second is an electrostatic field problem in which fingers are added to the basic electrostatic field problem. An objective cost function is defined using the negative-signed squared H1-norm of the difference between the solutions of the two state determination problems. The volume of the sensing electrode is used as the cost function. Using the solutions of the two state determination problems and the two adjoint problems, we present a method for evaluating the shape derivative of the objective cost function. To solve the shape optimization problem and minimize the negative-signed difference norm under the volume constraint, we use an iterative algorithm based on the H1 gradient method. An algorithm for the shape optimization problem is developed to solve the boundary value problems. Numerical examples show that reasonable shapes are obtained using the present approach.
journal article
Springer
2016-12
application/pdf
Japan Journal of Industrial and Applied Mathematics
3
33
599
619
http://doi.org/10.1007/s13160-016-0234-8
http://hdl.handle.net/2237/25703
0916-7005
https://nagoya.repo.nii.ac.jp/record/23511/files/JJIAM_Satake.pdf
eng
https://doi.org/10.1007/s13160-016-0234-8
The final publication is available at Springer via http://doi.org/10.1007/s13160-016-0234-8