Solution of the Cauchy problem for the biharmonic equation

被引：0

作者：

Zeb, A ^{[1
]}

Elliott, L ^{[1
]}

Ingham, DB ^{[1
]}

Lesnic, D ^{[1
]}

机构：

[1] Univ Leeds, Dept Appl Math Studies, Leeds LS2 9JT, W Yorkshire, England

来源：

BOUNDARY ELEMENTS XIX | 1997年

关键词：

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The boundary element method is applied to discretise numerically the Cauchy problem for the biharmonic equation which arises in slow viscous flow problems. The resulting ill-conditioned system of linear equations is solved using the least squares and the minimal energy methods. The numerical solution is compared with a known analytical solution and it is shown that the least squares method is unstable but the minimal energy method is stable.

引用

页码：749 / 756

页数：8

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