A Galerkin finite element method for an optimal shape design semiconductor problem
type: Item
instance of: scholarly article
title: A Galerkin finite element method for an optimal shape design semiconductor problem
zbMATH Open document ID: 0853.65072
DOI: 10.1016/0898-1221(95)00124-H
author: D. M. Bedivan
publication date: 1995-10-31T00:00:00Z
review text: This paper discusses an optimal shape design problem which appears in semiconductor device physics. The problem is transformed into an equivalent variational inequality one. Optimal control methods are used to show the existence of a solution for the variational problem and for the approximate problem. Newton's method is proposed for solving the discretized problem. An example with experimental results is given.
reviewed by: Quancai Duan
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 811387
zbMATH Keywords: finite element
zbMATH Keywords: optimal control methods
zbMATH Keywords: optimal shape design problem
zbMATH Keywords: semiconductor device
zbMATH Keywords: variational inequality
zbMATH Keywords: Newton's method
MaRDI profile type: Publication
cites work: Q3694624
cites work: Q3933378
cites work: Q4040359
cites work: Q4404383
cites work: Q3857636
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 811387