基于人工神经网络的无单元Galerkin MFree方法的最优影响覆盖

IF 1 4区工程技术 Q4 MECHANICS

Comptes Rendus Mecanique Pub Date : 2020-01-01 DOI:10.5802/crmeca.5

Imane Hajjout, Manal Haddouch, El Mostapha Boudi

{"title":"基于人工神经网络的无单元Galerkin MFree方法的最优影响覆盖","authors":"Imane Hajjout, Manal Haddouch, El Mostapha Boudi","doi":"10.5802/crmeca.5","DOIUrl":null,"url":null,"abstract":"The present investigation presents an efficient meshless method based on the weak form of an element-free-Galerkin method. The formulation of the numerical solution was conducted using an artificial neural network (ANN) approach to compute the optimal number of nodes in the influence domain for each point of interest. The numerical results using the ANN model were tested and compared with different approaches in the literature. Results show a reduction in the computational cost and an enhancement in an error criterion of up to 11%.","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"16 1","pages":"63-76"},"PeriodicalIF":1.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Optimal influence cover for an element free Galerkin MFree method based on artificial neural network\",\"authors\":\"Imane Hajjout, Manal Haddouch, El Mostapha Boudi\",\"doi\":\"10.5802/crmeca.5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present investigation presents an efficient meshless method based on the weak form of an element-free-Galerkin method. The formulation of the numerical solution was conducted using an artificial neural network (ANN) approach to compute the optimal number of nodes in the influence domain for each point of interest. The numerical results using the ANN model were tested and compared with different approaches in the literature. Results show a reduction in the computational cost and an enhancement in an error criterion of up to 11%.\",\"PeriodicalId\":50997,\"journal\":{\"name\":\"Comptes Rendus Mecanique\",\"volume\":\"16 1\",\"pages\":\"63-76\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus Mecanique\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.5802/crmeca.5\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mecanique","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.5802/crmeca.5","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 1

摘要

本文基于无单元伽辽金法的弱形式，提出了一种有效的无网格方法。采用人工神经网络(ANN)方法计算每个感兴趣点的影响域中的最优节点数，从而制定了数值解。利用人工神经网络模型对数值结果进行了检验，并与文献中不同方法进行了比较。结果表明，该方法降低了计算成本，误差标准提高了11%。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Optimal influence cover for an element free Galerkin MFree method based on artificial neural network

The present investigation presents an efficient meshless method based on the weak form of an element-free-Galerkin method. The formulation of the numerical solution was conducted using an artificial neural network (ANN) approach to compute the optimal number of nodes in the influence domain for each point of interest. The numerical results using the ANN model were tested and compared with different approaches in the literature. Results show a reduction in the computational cost and an enhancement in an error criterion of up to 11%.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Comptes Rendus Mecanique 物理-力学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The Comptes rendus - Mécanique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … The journal publishes original and high-quality research articles. These can be in either in English or in French, with an abstract in both languages. An abridged version of the main text in the second language may also be included.