NUMERICAL TREATMENT OF VERTEX SINGULARITIES AND INTENSITY FACTORS FOR MIXED BOUNDARY-VALUE-PROBLEMS FOR THE LAPLACE EQUATION IN R(3)

被引：26

作者：

BABUSKA, I ^{[1
]}

VONPETERSDORFF, T ^{[1
]}

ANDERSSON, B ^{[1
]}

机构：

[1] AERONAUT RES INST SWEDEN,S-16111 BROMMA,SWEDEN

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1994年 / 31卷 / 05期

关键词：

LAPLACE EQUATION; FINITE ELEMENT METHOD; VERTEX SINGULARITY; INTENSITY FACTOR;

D O I：

10.1137/0731066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method for the computation of the singular behavior of the solution of the Laplace equation is proposed. It is shown that the accuracy of the computed stress intensity factor by the h,p, and h-p version of the finite element method has the same order as the square of the error of the solution measured in the energy norm. Numerical examples are given.

引用

页码：1265 / 1288

页数：24

共 30 条

[1]

ANDERSSON B, 1992, FFA TN199217 AER RES

[2]

[Anonymous], 1968, FRACT ADV TREATISE

[3] THE H-P VERSION OF THE FINITE-ELEMENT METHOD FOR DOMAINS WITH CURVED BOUNDARIES [J].