{"title":"平流扩散方程的有限元解法","authors":"S. Dhawan, S. Rawat, S. Kumar, S. Kapoor","doi":"10.1109/ICMSAO.2011.5775634","DOIUrl":null,"url":null,"abstract":"The present paper reports the B-spline finite element method for the solution of advection-diffusion equation. The one dimensional time dependent ADV equation has been taken in to consideration with dirichlet boundary conditions. The main emphasis are given to the B-spline FEM for that some typical test examples are presented to demonstrate the performance of proposed scheme. Numerical results obtained from the present technique are found to be in good agreement with the exact solution.","PeriodicalId":6383,"journal":{"name":"2011 Fourth International Conference on Modeling, Simulation and Applied Optimization","volume":"37 1","pages":"1-4"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Solution of advection diffusion equation using finite element method\",\"authors\":\"S. Dhawan, S. Rawat, S. Kumar, S. Kapoor\",\"doi\":\"10.1109/ICMSAO.2011.5775634\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present paper reports the B-spline finite element method for the solution of advection-diffusion equation. The one dimensional time dependent ADV equation has been taken in to consideration with dirichlet boundary conditions. The main emphasis are given to the B-spline FEM for that some typical test examples are presented to demonstrate the performance of proposed scheme. Numerical results obtained from the present technique are found to be in good agreement with the exact solution.\",\"PeriodicalId\":6383,\"journal\":{\"name\":\"2011 Fourth International Conference on Modeling, Simulation and Applied Optimization\",\"volume\":\"37 1\",\"pages\":\"1-4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Conference on Modeling, Simulation and Applied Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMSAO.2011.5775634\",\"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 Fourth International Conference on Modeling, Simulation and Applied Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMSAO.2011.5775634","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution of advection diffusion equation using finite element method
The present paper reports the B-spline finite element method for the solution of advection-diffusion equation. The one dimensional time dependent ADV equation has been taken in to consideration with dirichlet boundary conditions. The main emphasis are given to the B-spline FEM for that some typical test examples are presented to demonstrate the performance of proposed scheme. Numerical results obtained from the present technique are found to be in good agreement with the exact solution.
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