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.
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页码：749 / 756
页数：8
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