{"title":"流函数涡度方程的有限元方法","authors":"M. Gunzburger, J. Peterson","doi":"10.1137/0909043","DOIUrl":null,"url":null,"abstract":"Finite-element methods for the approximation of the solution of streamfunction-vorticity equations are considered. Among the issues dealt with are multiply connected domains, the use of low-order elements, the incorporation of a variety of boundary conditions into the methodology, error estimates, and the recovery of the primitive variables. Various numerical examples are also provided.","PeriodicalId":200176,"journal":{"name":"Siam Journal on Scientific and Statistical Computing","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Finite-Element Methods for the Streamfunction-Vorticity Equations\",\"authors\":\"M. Gunzburger, J. Peterson\",\"doi\":\"10.1137/0909043\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Finite-element methods for the approximation of the solution of streamfunction-vorticity equations are considered. Among the issues dealt with are multiply connected domains, the use of low-order elements, the incorporation of a variety of boundary conditions into the methodology, error estimates, and the recovery of the primitive variables. Various numerical examples are also provided.\",\"PeriodicalId\":200176,\"journal\":{\"name\":\"Siam Journal on Scientific and Statistical Computing\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siam Journal on Scientific and Statistical Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1137/0909043\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siam Journal on Scientific and Statistical Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/0909043","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-Element Methods for the Streamfunction-Vorticity Equations
Finite-element methods for the approximation of the solution of streamfunction-vorticity equations are considered. Among the issues dealt with are multiply connected domains, the use of low-order elements, the incorporation of a variety of boundary conditions into the methodology, error estimates, and the recovery of the primitive variables. Various numerical examples are also provided.
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