An asymptotic estimate of the error of eigenvalues in the method of finite elements for the Sturm-Liouville problem

被引：0

作者：

Prikazchikov, VG ^{[1
]}

Loseva, MV ^{[1
]}

机构：

[1] Taras Shevchenko Univ, Kiev, Ukraine

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2000年 / 36卷 / 02期

关键词：

method of finite elements; Sturm-Liouville problem errors of eigenvalues; asymptotic estimates of errors; schemes of a high order of accuracy; double-ended estimates of eigenvalues; convergence of the method of finite elements;

D O I：

10.1007/BF02678662

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

A scheme of the second order of accuracy for the Sturm-Liouville problem is constructed by the method of finite elements with the use of a special basic system of compact functions. The convergence of the method of finite elements is proved. An exact formula for estimating errors of eigenvalues is obtained.

引用

页码：170 / 178

页数：9

共 9 条

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[6] Prikazchikov V. G., 1969, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V9, P315
[7] PRIKAZCHIKOV VG, 1992, ZH VYCHISL MAT MAT F, V32, P1671
[8] Strang G., 1977, ANAL FINITE ELEMENT
[9] Tikhonov A.N., 1962, COMP MATH MATH PHYS+, V1, P5

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