Numerical realization of a fictitious domain approach used in shape optimization. Part I: Distributed controls

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 1996-01-01 DOI:10.21136/am.1996.134317

J. Daňková, J. Haslinger

引用次数: 16

Abstract

Summary. We deal with practical aspects of an approach to the numerical realization of optimal shape design problems, which is based on a combination of the fictitious domain method with the optimal control approach. Introducing a new control variable in the right-hand side of the state problem, the original problem is transformed into a new one, where all the calculations are performed on a fixed domain. Some model examples are presented.

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形状优化中虚拟域方法的数值实现。第一部分:分布式控件

总结。本文讨论了一种基于虚拟域法和最优控制方法相结合的最优形状设计问题数值实现方法的实际问题。在状态问题的右侧引入一个新的控制变量，将原来的问题转化为一个新的问题，所有的计算都在一个固定的域上进行。给出了一些模型实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.