Finite element method for solving problems with singular solutions

被引：30

作者：

Babuska, I

Andersson, B

Guo, B

Melenk, JM

Oh, HS

机构：

[1] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742

[2] AERONAUT RES INST SWEDEN,S-16111 BROMA,SWEDEN

[3] UNIV MANITOBA,DEPT APPL MATH,WINNIPEG,MB R3T 2N2,CANADA

[4] UNIV N CAROLINA,DEPT MATH,CHARLOTTE,NC 28223

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 74卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

finite elements; singular solution; hp version of FEM;

D O I：

10.1016/0377-0427(96)00017-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical treatment of the elliptic boundary value problem with nonsmooth solution by the finite element method is discussed. The nonsmoothness could have its origin in the unsmooth boundary or the differential equation. This paper, which is a survey of the recent results, elaborates among others on the method of auxiliary mapping, the partition of unity finite element method and the hp version of FEM in three-dimensions. Numerical examples illustrate mathematical results.

引用

页码：51 / 70

页数：20

共 34 条

[1] RELIABLE STRESS AND FRACTURE-MECHANICS ANALYSIS OF COMPLEX COMPONENTS USING A H-P VERSION OF FEM [J].