Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications
Author:
Funder
CNPq
CAPES
FAPERJ
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Management Science and Operations Research,Control and Optimization
Link
http://link.springer.com/article/10.1007/s10957-018-1419-x/fulltext.html
Reference102 articles.
1. Novotny, A.A., Sokołowski, J., Żochowski, A.: Topological derivatives of shape functionals. Part I: theory in singularly perturbed geometrical domains. J. Optim. Theory Appl. 180(2), 1–30 (2019)
2. Amstutz, S., Andrä, H.: A new algorithm for topology optimization using a level-set method. J. Comput. Phys. 216(2), 573–588 (2006)
3. Novotny, A.A., Sokołowski, J.: Topological Derivatives in Shape Optimization. Interaction of Mechanics and Mathematics. Springer, Berlin (2013)
4. Amstutz, S.: Analysis of a level set method for topology optimization. Optim. Methods Softw. 26(4–5), 555–573 (2011)
5. Amigo, R.C.R., Giusti, S., Novotny, A.A., Silva, E.C.N., Sokolowski, J.: Optimum design of flextensional piezoelectric actuators into two spatial dimensions. SIAM J. Control Optim. 52(2), 760–789 (2016)
Cited by 19 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Exploring the performance of the topological energy method for object and damage detection from noisy and poor databases;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-07-15
2. Topological derivatives for shell structure optimization considering crash loadcases with material nonlinearities and large deformations;Structural and Multidisciplinary Optimization;2024-06-29
3. Towards flaw detection in welding joints via multi-frequency topological derivative methods;Computers & Mathematics with Applications;2024-05
4. Topological Variations and Invariant-Based Optimal Design;Mathematical Engineering;2024
5. Reconstruction of the Source Term in a Time-Fractional Diffusion Equation from Partial Domain Measurement;The Journal of Geometric Analysis;2023-03-28
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3