{"title":"椭圆界面问题的不连续Galerkin浸入有限体积元法","authors":"Zhongyan Liu, Huanzhen Chen","doi":"10.1109/ICIST.2014.6920344","DOIUrl":null,"url":null,"abstract":"By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve the elliptic interface problems. The existence and uniqueness of the discrete scheme is proved, and an optimal energy-norm error estimate and L2-norm estimate for the numerical solution are obtained.","PeriodicalId":306383,"journal":{"name":"2014 4th IEEE International Conference on Information Science and Technology","volume":"126 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Discontinuous Galerkin immerse finite volume element method for elliptic interface problems\",\"authors\":\"Zhongyan Liu, Huanzhen Chen\",\"doi\":\"10.1109/ICIST.2014.6920344\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve the elliptic interface problems. The existence and uniqueness of the discrete scheme is proved, and an optimal energy-norm error estimate and L2-norm estimate for the numerical solution are obtained.\",\"PeriodicalId\":306383,\"journal\":{\"name\":\"2014 4th IEEE International Conference on Information Science and Technology\",\"volume\":\"126 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-04-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 4th IEEE International Conference on Information Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIST.2014.6920344\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 4th IEEE International Conference on Information Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIST.2014.6920344","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Discontinuous Galerkin immerse finite volume element method for elliptic interface problems
By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve the elliptic interface problems. The existence and uniqueness of the discrete scheme is proved, and an optimal energy-norm error estimate and L2-norm estimate for the numerical solution are obtained.
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