GLOBAL ELEMENT METHOD APPLIED TO A HARMONIC MIXED BOUNDARY-VALUE PROBLEM

被引：23

作者：

HENDRY, JA ^{[1
]}

DELVES, LM ^{[1
]}

机构：

[1] UNIV BIRMINGHAM,CTR COMP,BIRMINGHAM B15 2TT,W MIDLANDS,ENGLAND

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1979年 / 33卷 / 01期

关键词：

D O I：

10.1016/0021-9991(79)90026-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We demonstrate the use of the recently developed Global Element Method (Delves and Hall, J. Inst. Math. Appl. 23 (1979), 223-234) by applying it to the two dimensional singular boundary value problem introduced by Motz [Quart. Appl. Math. 4 (1946), 371-377.] The results obtained converge extremely rapidly even in the neighborhood of the singularity and suggest that the method is capable of efficiently handling singular problems. © 1979.

引用

页码：33 / 44

页数：12

共 21 条

[1] MIXED-HYBRID FINITE-ELEMENT APPROXIMATIONS OF 2ND-ORDER ELLIPTIC BOUNDARY-VALUE PROBLEMS [J].

BABUSKA, I ;

ODEN, JT ;

LEE, JK .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1977, 11 (02) :175-206

[2]

DELVES LM, 1979, J I MATH APPL, V23, P223

[3] CONVERGENCE RATES OF VARIATIONAL METHODS .1. ASYMPTOTICALLY DIAGONAL SYSTEMS [J].

DELVES, LM ;

MEAD, KO .

MATHEMATICS OF COMPUTATION, 1971, 25 (116) :699-&

[4]

DELVES LM, 1977, CSS76112 U LIV RES R

[5] USE OF SINGULAR FUNCTIONS WITH FINITE-ELEMENT APPROXIMATIONS [J].

FIX, GJ ;

GULATI, S ;

WAKOFF, GI .

JOURNAL OF COMPUTATIONAL PHYSICS, 1973, 13 (02) :209-228

[6]

Gordon W.J., 1973, INT J NUM MATH ENG, V7, P461, DOI [DOI 10.1002/NME.1620070405, DOI 10.1002/NME.1620070405,ARXIV:HTTPS://ONLINELIBRARY.WILEY.COM/DOI/PDF/10.1002/NME.1620070405]

[7]

GRIFFITHS DF, 1977, J I MATH APPL, V19, P59

[8] GLOBAL ELEMENT METHOD APPLIED TO A DISCONTINUOUS NUCLEAR-POTENTIAL [J].

HENDRY, JA ;

HENNELL, MA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1978, 28 (03) :376-394

[9]

Mikhlin S. G., 1964, VARIATIONAL METHODS

[10]

MIKHLIN SG, 1971, NUMERICAL PERFORMANC

← 1 2 3 →