两点边值问题奇异解的奇异有限元法  

A FINITE ELEMENT METHOD FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS WITH SINGULAR SOLUTIONS

作　　者：舒适[1] 金继承[1] 

机构地区：[1]湘潭大学数学系

出　　处：《湘潭大学自然科学学报》1993年第4期3-4,共2页Natural Science Journal of Xiangtan University

摘　　要：采用具有小支集的奇异基函数的有限元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。In this paper we suggest a finite element method for singular two-point boundary value problems with singular solutions by introducing singular basis with local support.The sparsity of the stiff matrix and optimal order of convergence are preserved.

关 键 词：奇异解 有限元法 两点边值问题 

分 类 号：O175.8[理学—数学]