Deep learning in computational mechanics: a review

Author:

Herrmann Leon,Kollmannsberger Stefan

Abstract

AbstractThe rapid growth of deep learning research, including within the field of computational mechanics, has resulted in an extensive and diverse body of literature. To help researchers identify key concepts and promising methodologies within this field, we provide an overview of deep learning in deterministic computational mechanics. Five main categories are identified and explored: simulation substitution, simulation enhancement, discretizations as neural networks, generative approaches, and deep reinforcement learning. This review focuses on deep learning methods rather than applications for computational mechanics, thereby enabling researchers to explore this field more effectively. As such, the review is not necessarily aimed at researchers with extensive knowledge of deep learning—instead, the primary audience is researchers on the verge of entering this field or those attempting to gain an overview of deep learning in computational mechanics. The discussed concepts are, therefore, explained as simple as possible.

Funder

Geothermal Alliance Bavaria

DeepMonitor (Georg Nemetschek Institut

Publisher

Springer Science and Business Media LLC

Reference669 articles.

1. Abu-Mostafa YS, Magdon-Ismail M, Lin H-T (2012) Learning from data. AML Book

2. Adie J, Juntao Y, Zhang X, See S (2018) Deep learning for computational science and engineering. In: GPU technology conference. https://on-demand.gputechconf.com/gtc/2018/presentation/S8242-Yang-Juntao-paper.pdf

3. Yagawa G, Okuda H (1996) Neural networks in computational mechanics. Arch Comput Methods Eng 3(4):435–512. https://doi.org/10.1007/BF02818935

4. Waszczyszyn Z, Ziemiański L (2001) Neural networks in mechanics of structures and materials—new results and prospects of applications. Comput Struct 79(22):2261–2276. https://doi.org/10.1016/S0045-7949(01)00083-9

5. Lecture notes on numerical methods in engineering and sciences;G Yagawa,2021

Cited by 6 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

同舟云学术

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