{"title":"基于半解析基函数的局部配置求解方法研究进展","authors":"Wenzhi Xu, Zhuojia Fu","doi":"10.2495/be450121","DOIUrl":null,"url":null,"abstract":"This paper presents a brief overview of recently developed localized collocation solvers and their various engineering applications. The research progress of localized collocation solvers is discussed, and their basic mathematical formulations are summarized. Finally, applications for thermal analysis in functionally graded materials and steady-state convection-diffusion equation with nonhomogeneous term are given.","PeriodicalId":23647,"journal":{"name":"WIT transactions on engineering sciences","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"RECENT ADVANCES IN LOCALIZED COLLOCATION SOLVERS BASED ON SEMI-ANALYTICAL BASIS FUNCTIONS\",\"authors\":\"Wenzhi Xu, Zhuojia Fu\",\"doi\":\"10.2495/be450121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a brief overview of recently developed localized collocation solvers and their various engineering applications. The research progress of localized collocation solvers is discussed, and their basic mathematical formulations are summarized. Finally, applications for thermal analysis in functionally graded materials and steady-state convection-diffusion equation with nonhomogeneous term are given.\",\"PeriodicalId\":23647,\"journal\":{\"name\":\"WIT transactions on engineering sciences\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WIT transactions on engineering sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2495/be450121\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WIT transactions on engineering sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2495/be450121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
RECENT ADVANCES IN LOCALIZED COLLOCATION SOLVERS BASED ON SEMI-ANALYTICAL BASIS FUNCTIONS
This paper presents a brief overview of recently developed localized collocation solvers and their various engineering applications. The research progress of localized collocation solvers is discussed, and their basic mathematical formulations are summarized. Finally, applications for thermal analysis in functionally graded materials and steady-state convection-diffusion equation with nonhomogeneous term are given.
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