National Taiwan Ocean University Institutional Repository:Item 987654321/51852
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题名: Application of high-order least-squares finite-element method for second-order partial differential equations
作者: Shin-Jye Liang
Ren-Jieh Shih
Chen-I Hung
贡献者: 國立臺灣海洋大學海洋環境資訊系
日期: 1998-10
上传时间: 2018-12-28T01:03:51Z
出版者: Journal of the Chinese Society of Mechanical Engineers
摘要: Abstract: A p-version based least-squares finite-element method (LSFEM) is presented for general second-order partial differential equations. The resulting system of equations of the formulation is symmetric and positive-definite. Various preconditioned iterative solvers, such as, conjugate gradient (CG), generalized minimum residual (GMRES), quasi-minimum residual (QMR) methods and their variants were used to solve the algebraic system of equations and their performance were compared. The method was applied to both linear and non-linear partial differential equations which encounter the sharp gradient solution.
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51852
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