The Topological Derivative of the Dirichlet Integral Under Formation of a Thin Ligament

S. A. Nazarov; J. Sokolowski

首页> 外文期刊>Siberian Mathematical Journal >The Topological Derivative of the Dirichlet Integral Under Formation of a Thin Ligament

【24h】

The Topological Derivative of the Dirichlet Integral Under Formation of a Thin Ligament

机译：薄韧带形成下狄利克雷积分的拓扑导数

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We construct and justify the asymptotic expansion of a solution and the corresponding energy functional of the mixed boundary-value problem for the Poisson equation in a domain with a ligament, i.e., thin curvilinear strip connecting two small parts of the boundary outside the domain. Asymptotic analysis is required in the theory of shape optimization; therefore, in contrast to other publications, we use no simplifying assumptions of the flattening of the boundary near the junction zones.

机译：我们构造并证明了带韧带的泊松方程的解的渐近展开以及混合边界值问题的相应能量函数，该带韧带的泊松方程即薄的曲线带连接了畴外边界的两个小部分。形状优化理论需要渐进分析;因此，与其他出版物相比，我们没有使用简化的假设来简化接合区域附近的边界。

著录项

来源
《Siberian Mathematical Journal》 |2004年第2期|共15页
作者
S. A. Nazarov; J. Sokolowski;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
asymptotic expansion; thin ligament; energy functional; shape optimization;

机译：渐进扩展薄韧带能量功能形状优化;

相似文献

外文文献
中文文献
专利

1. The Topological Derivative of the Dirichlet Integral Under Formation of a Thin Ligament [J] . S. A. Nazarov, J. Sokolowski Siberian Mathematical Journal . 2004,第2期

机译：薄韧带形成下狄利克雷积分的拓扑导数
2. Asymptotics of the Eigenvalues and Eigenfunctions of a Thin Square Dirichlet Lattice with a Curved Ligament [J] . Nazarov S. A. Mathematical notes . 2019,第3a4期

机译：具有弯曲韧带的薄方形狄利克雷格的特征值和特征函数的渐近性
3. Asymptotics of the Eigenvalues and Eigenfunctions of a Thin Square Dirichlet Lattice with a Curved Ligament [J] . Nazarov S. A. Mathematical notes . 2019,第3a4期

机译：具有弯曲韧带的薄尺寸Dirichlet格子的特征值和特征障碍的渐近性
4. Least condition of the topological derivative for imaging of thin, flat dielectric inhomogeneity [C] . Won-Kwang Park Progress In Electromagnetics Research Symposium - Spring . 2017

机译：薄，平面介电不均匀性成像的拓扑导数的最小条件
5. The influence of computer programming and computer graphics on the formation of the derivative and integral concepts. [D] . Tufte, Fredric Wayne. 1990

机译：计算机程序设计和计算机图形学对派生和积分概念形成的影响。
6. An osteogenic helioxanthin derivative suppresses the formation of bone-resorbing osteoclasts [O] . Hitoshi Amano, Futoshi Iwaki, Meiko Oki, 2019

机译：成骨性黄嘌呤衍生物可抑制骨吸收性破骨细胞的形成
7. A connection between topological ligaments in shape optimization and thin tubular inhomogeneities [O] . Charles Dapogny 2020

机译：拓扑韧带在形状优化和薄管状不均匀性之间的连接
8. Framework for Routing and Topological Decision-Making Within a Transformational Communications Architecture [R] . Smith, A. I. 2005

机译：转型通信体系结构中的路由和拓扑决策框架

The Topological Derivative of the Dirichlet Integral Under Formation of a Thin Ligament

摘要

著录项

相似文献

相关主题

期刊订阅