Maxwell方程的耦合形状优化与拓扑导数

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-11-18 DOI:10.1155/2022/2425990

SY Alassane

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引用次数: 0

摘要

本文讨论了一种利用给定代价函数的形状和拓扑导数的耦合算法，以及一个由三维非平稳Maxwell方程组控制的问题。为了建立形状和拓扑导数，使用了伴随方法。对于拓扑渐近展开，考虑了介电常数和磁导率扰动下成本泛函的两个例子。我们将形状导数和拓扑导数相结合，提出了一种算法。所提出的算法允许在给定形状中插入小的不均匀性（电或磁）。

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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Coupling Shape Optimization and Topological Derivative for Maxwell Equations

The paper deals with a coupling algorithm using shape and topological derivatives of a given cost functional and a problem governed by nonstationary Maxwell’s equations in 3D. To establish the shape and topological derivatives, an adjoint method is used. For the topological asymptotic expansion, two examples of cost functionals are considered with the perturbation of the electric permittivity and magnetic permeability. We combine the shape derivative and topological one to propose an algorithm. The proposed algorithm allows to insert a small inhomogeneity (electric or magnetic) in a given shape.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.