Domain decomposition methods: Recent advances and new challenges in engineering

Paniel Rixen; Frederic Magoules

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Domain decomposition methods: Recent advances and new challenges in engineering

机译：领域分解方法：工程学的最新进展和新挑战

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This issue of Computer Methods in Applied Mechanics and Engineering is devoted to domain decomposition methods. These methods have been in the center of a highly active research community for more then fifteen years. The very idea of domain decomposition is even much older since the father of domain decomposition is for many H.A. Schwarz who, in 1870, published a famous paper entitled Ueber einen Grenzuebergang durch alternierendes Ver-fahren. The concept of domain decomposition is also underlying the paradigm of dynamic substructuring methods, a technique developed in the sixties. Substructuring techniques, also known as component mode synthesis, aim at reducing the dimension of models in structural dynamics where each substructure (i.e. subdomain) is represented by a reduced basis.

机译：本期《应用力学和工程学中的计算机方法》专门讨论领域分解方法。这些方法一直是活跃的研究社区的中心，已有超过15年的历史。域分解的思想甚至更古老，因为域分解之父对许多H.A.来说都是如此。施瓦兹（Schwarz）在1870年发表了一篇著名的论文，标题为《 Ueber einen Grenzuebergang durch alternierendes Ver-fahren》。领域分解的概念也是六十年代发展起来的动态子构造方法范例的基础。子结构化技术（也称为分量模式综合）旨在减小结构动力学中模型的尺寸，其中每个子结构（即子域）均以简化的基础表示。

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《Computer Methods in Applied Mechanics and Engineering》 |2007年第8期|p.1345-1346|共2页
作者
Paniel Rixen; Frederic Magoules;
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作者单位

Delft University of Technology, The Netherlands;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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1. IMPLEMENTATION OF THE DOMAIN DECOMPOSITION METHOD-BASED PARALLEL FINITE ELEMENT METHOD IN GEOTECHNICAL ENGINEERING [J] . Y.L. Zhang, Xia-Ting Feng, A.N. Jiang International Journal of Rock Mechanics and Mining Sciences . 2004,第3期

机译：岩土工程中基于域分解法的并行有限元法的实现
2. Introduction to Domain Decomposition Method - [2] Finite Element Method and Domain Decomposition Method [J] . Hiroshi AKIBA, Masaburai SUZUKI, Tomonobu OHYAMA シミュレーション . 2003,第3期

机译：区域分解方法简介-[2]有限元方法和区域分解方法
3. Introduction to Domain Decomposition Method - [2] Finite Element Method and Domain Decomposition Method [J] . Hiroshi AKIBA, Masaburai SUZUKI, Tomonobu OHYAMA シミュレーション . 2003,第3期

机译：域分解方法简介 - [2]有限元方法和域分解方法
4. Recent advances on domain decomposition finite element methods [C] . Vouvakis M.N. International Conference on Electromagnetics in Advanced Applications . 2015

机译：域分解有限元方法的最新进展
5. Novel frequency domain techniques and advances in Finite Difference Time domain (FDTD) method for efficient solution of multiscale electromagnetic problems [D] . Panayappan, Kadappan 2013

机译：新型频域技术和时域有限差分（FDTD）方法的进展，可有效解决多尺度电磁问题
6. Advances in functional magnetic resonance imaging data analysis methods using Empirical Mode Decomposition to investigate temporal changes in early Parkinsons disease [O] . Dietmar Cordes, Xiaowei Zhuang, Muhammad Kaleem, 2018

机译：基于经验模式分解的功能性磁共振成像数据分析方法的研究进展以研究早期帕金森氏病的时间变化
7. EEG Signal Discrimination using Non-linear Dynamics in the EMD Domain S. M. Shafiul Alam,S. M. Shafiul Alam,Aurangozeb, and Syed TarekShahriar Abstract—An EMD-chaos based approach is proposed todiscriminate EEG signals corresponding to healthy persons,and epileptic patients during seizure-free intervals and seizureattacks. An electroencephalogram (EEG) is first empiricallydecomposed to intrinsic mode functions (IMFs). The nonlineardynamics of these IMFs are quantified in terms of the largestLyapunov exponent (LLE) and correlation dimension (CD).This chaotic analysis in EMD domain is applied to a large groupof EEG signals corresponding to healthy persons as well asepileptic patients (both with and without seizure attacks). It isshown that the values of the obtained LLE and CD exhibitfeatures by which EEG for seizure attacks can be clearlydistinguished from other EEG signals in the EMD domain.Thus, the proposed approach may aid researchers in developingeffective techniques to predict seizure activities. Index Terms—Electroencephalogram (EEG), empiricalmode decomposition (EMD), largest Lyapunov exponent (LLE),correlation dimension (CD), epileptic seizures. The Authors are with the Electrical and Electronic EngineeringDepartment, Bangladesh University of Engineering and Technology,Dhaka-1000, Bangladesh (e-mail: imamul@eee.buet.ac.bd) PDF Cite: S. M. Shafiul Alam,S. M. Shafiul Alam,Aurangozeb, and Syed Tarek Shahriar, "EEG Signal Discrimination using Non-linear Dynamics in the EMD Domain," International Journal of Computer and Electrical Engineering vol. 4, no. 3, pp. 326-330, 2012. PREVIOUS PAPER Perception of Emotions Using Constructive Learningthrough Speech NEXT PAPER Physical Layer Impairments Aware OVPN Connection Selection Mechanisms Copyright © 2008-2013. International Association of Computer Science and Information Technology Press (IACSIT Press) [O] . S. M. Shafiul Alam, Syed TarekShahriar 2012

机译：EEG信号在EMD域S. S. Shafiul Alam，S中的非线性动力学使用非线性动力学。 M. Shafiul Alam，Aurangozeb和Syed Tarekshahriar摘要 - 基于EMD Chaos的方法，提出了对应于健康人的EEG信号，癫痫发作期间的癫痫患者和Seizureattacks。脑电图（EEG）首先被凭经上分解为内在模式功能（IMF）。这些IMF的非线性动力学在最大范围的指数（LLE）和相关尺寸（CD）方面是量化的。本域中的混沌分析应用于与健康人相对应的大型脑电图（Asepileptic患者）（两者都有癫痫发作）。因此，所获得的LLE和CD表展的价值可以从EMD领域的其他EEG信号中清晰地区分脑电图的表达展示。本拟议的方法可以帮助研究人员以预测癫痫发作的癫痫发作技术。索引术语 - 脑电图（EEG），仿真态分解（EMD），最大的Lyapunov指数（LLE），相关维度（CD），癫痫发作。作者与电气电子和电子工程公司，孟加拉国工程和技术大学，孟加拉国达卡 - 1000（电子邮件：imamul@eee.buet.ac.bd）pdf cite：s. m. shafiul Alam，s。 M. Shafiul Alam，Aurangozeb和Syed Tarek Shahriar，“EEG信号歧视在EMD领域的非线性动态，”计算机电气工程卷国际杂志。 4，不。 3，pp。326-330,2012，上一篇论文对情绪的看法，使用建设性的学习言论下一篇论文物理层障碍意识到OVPN连接选择机制版权所有©2008-2013。国际计算机科学与信息技术协会出版社（IACSIT Press）

Domain decomposition methods: Recent advances and new challenges in engineering

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