{"title":"径向基函数无网格法的研究与应用","authors":"Qin Zhao, G. Bai, Weifeng Song, Qian Zhao","doi":"10.1109/MACE.2011.5987475","DOIUrl":null,"url":null,"abstract":"Meshless method based on radial basis function is a new numerical method. In this paper, the basic theory of meshless method is expounded, and the shape function's structure process of the radial basis function is given, which is used to solve elastic mechanics problems, and the numerical results fit well with its analytic solutions, which indicated that the numeric method has application prospect.","PeriodicalId":6400,"journal":{"name":"2011 Second International Conference on Mechanic Automation and Control Engineering","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Research and application on meshless method of radial basis functions\",\"authors\":\"Qin Zhao, G. Bai, Weifeng Song, Qian Zhao\",\"doi\":\"10.1109/MACE.2011.5987475\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Meshless method based on radial basis function is a new numerical method. In this paper, the basic theory of meshless method is expounded, and the shape function's structure process of the radial basis function is given, which is used to solve elastic mechanics problems, and the numerical results fit well with its analytic solutions, which indicated that the numeric method has application prospect.\",\"PeriodicalId\":6400,\"journal\":{\"name\":\"2011 Second International Conference on Mechanic Automation and Control Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Second International Conference on Mechanic Automation and Control Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MACE.2011.5987475\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Second International Conference on Mechanic Automation and Control Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MACE.2011.5987475","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Research and application on meshless method of radial basis functions
Meshless method based on radial basis function is a new numerical method. In this paper, the basic theory of meshless method is expounded, and the shape function's structure process of the radial basis function is given, which is used to solve elastic mechanics problems, and the numerical results fit well with its analytic solutions, which indicated that the numeric method has application prospect.