One-block method for computing the generalized stress intensity factors for Laplace's equation on a square with a slit and on an L-shaped domain

被引：2

作者：

Dosiyev, A. A. ^{[1
]}

Buranay, S. C. ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, KKTC, Dept Math, Mersin 10, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 289卷

关键词：

Laplace equation; Corner singularity; Block method; Stress intensity factor; BOUNDARY INTEGRAL METHOD; POST-PROCESSING APPROACH; FINITE-ELEMENT METHOD; CRACKED-BEAM PROBLEM; GRID METHOD; SINGULARITIES; COMPUTATION;

D O I：

10.1016/j.cam.2014.11.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A highly accurate approximation for the coefficients of the series expansion of the solution of Laplace's equation around the singular vertex, which are called the generalized stress intensity factors (GSIFs), is obtained by One-Block Method. The method is demonstrated for the slit problem, which has a strong singularity, and for the popular problem on an L-shaped domain. Furthermore, the extremely accurate series segment solution for each of the problems is obtained by taking an appropriate number of calculated GSIFs. Numerical results are presented through tables and figures. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：400 / 411

页数：12

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