博碩士論文 952201028 完整後設資料紀錄

DC 欄位 語言
DC.contributor數學系zh_TW
DC.creator高仕超zh_TW
DC.creatorShih-Chao Kaoen_US
dc.date.accessioned2008-7-16T07:39:07Z
dc.date.available2008-7-16T07:39:07Z
dc.date.issued2008
dc.identifier.urihttp://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=952201028
dc.contributor.department數學系zh_TW
DC.description國立中央大學zh_TW
DC.descriptionNational Central Universityen_US
dc.description.abstract在本篇論文中,我們使用最小平方有限元素法來求解對流擴散方程中的對流佔優問題,發現到最小平方有限元素法中使用線性基底函數來求解對流佔優問題,其所求得的解並不理想,而傳統的網格加密的方法對最小平方有限元素法並不ㄧ個經濟的方法,因此我們使用RFB 方法對最小平方有限元素法進行改良的工作,這是ㄧ個新的應用。而數值結果顯示這個新的方法對於求解對流佔優問題有相當不錯的改良效果。zh_TW
dc.description.abstractIn this thesis, we formulate the least-squares finite element method using piececewise linears to solve the convection-diffusion equation which is convection-dominated and we find that the solution is diffusive and the classical mesh refinement for the least-squares finite element method is not an economical method. Then we use the residual-free bubble method to enrich the least-squares finite element method. This is a new application of residual-free bubble method and we solve some test problems. The numerical results show that the residual-feee bubble method for the least-squares finite element method has a good effect of enrichment。en_US
DC.subject最小平方zh_TW
DC.subject有限元素法zh_TW
DC.subject對流擴散方程式zh_TW
DC.subjectResidual-free bubblezh_TW
DC.subjectleast-squaresen_US
DC.subjectfinite element methoden_US
DC.subjectresidual-free bubbleen_US
DC.subjectconvection-diffusion equationen_US
DC.title最小平方有限元素法求解對流擴散方程以及使用Bubble函數的改良zh_TW
dc.language.isozh-TWzh-TW
DC.titleSome Residual-Free Bubble Enrichment Least-Squares Finite Element Method for the Convection-Diffusion Equationen_US
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

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