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题名: Application of a Residual-Norm-Based Algorithm to Solve Elliptic Boundary Value Problem
作者: Yung-Wei Chen;Chun-Ming Chang;Hui-Ming Fang;Pai-Chen Guan
贡献者: 國立臺灣海洋大學:輪機工程學系
关键词: fictitious time integration (FTIM);boundary value problem;finite difference method (FDM)
日期: 2016
上传时间: 2017-02-06T08:14:12Z
出版者: Journal of Marine Science and Technology
摘要: Abstract:In this study, we use a residual-norm-based algorithm (RNBA) to solve nonlinear elliptic boundary value problems (BVPs) on an arbitrary planar domain. For complex geometries, BVPs are very difficult and time-consuming to solve using conventional finite difference methods (FDMs). To overcome these problems, we apply a novel finite difference method (NFDM). By adding a fictitious rectangular domain and a bilinear function, we can easily treat geometrically complex boundary conditions. Then, through the use of the internal residual and the boundary residual, we can easily obtain the solution without the necessity of computing a matrix inverse. The RNBA avoids the oscillations that can occur in the manifold-based exponentially convergent algorithm (MBECA) by maintaining the manifold properties while guaranteeing convergence order greater than one. The accuracy and the convergence behaviour of this new method are demonstrated with several examples.
關聯: 24(4)
显示于类别:[輪機工程學系] 期刊論文





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