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奇异两点边值问题奇异有限元的最大模估计
引用本文:舒适,金继承,喻海元.奇异两点边值问题奇异有限元的最大模估计[J].中山大学学报论丛,1996(5).
作者姓名:舒适  金继承  喻海元
作者单位:湘潭大学数学系
摘    要:采用具有小支集的奇异基函数的有限元方法求解奇异两点边值问题的奇异解.这种方法既保持了有限元刚度矩阵的带状性质,又能获得最佳的逼近精度

关 键 词:奇异解,奇异基函数,有限元

A Finite Element Method for Singular Two Point Boundary Value Problems with Singular Solutions
Shu Shi\ Jin Jicheng\ Yu Haiyuan.A Finite Element Method for Singular Two Point Boundary Value Problems with Singular Solutions[J].Supplement to the Journal of Sun Yatsen University,1996(5).
Authors:Shu Shi\ Jin Jicheng\ Yu Haiyuan
Abstract:In this paper we suggesst a finite element method for singular two point boundary value problems with singular solution by introducing singular basis with local support. The sparsity of the stiff matrix and optimal order of convergence are preserved.
Keywords:singular solution  singular basis  finite element method
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