The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains

被引：2
|
作者：
Shapeev, Vasily [1 ,2 ]
Golushko, Sergey [1 ,3 ]
Bryndin, Luka [1 ,2 ]
Belyaev, Vasily [2 ]
机构：
[1] Novosibirsk State Univ, Novosibirsk, Russia
[2] Khristianovich Inst Theoret & Appl Mech SB RAS, Novosibirsk, Russia
[3] Inst Computat Technol SB RAS, Novosibirsk, Russia
来源：
ALL-RUSSIAN CONFERENCE AND SCHOOL FOR YOUNG SCIENTISTS, DEVOTED TO 100TH ANNIVERSARY OF ACADEMICIAN L.V. OVSIANNIKOV - MATHEMATICAL PROBLEMS OF CONTINUUM MECHANICS | 2019年 / 1268卷
基金：
俄罗斯基础研究基金会;
关键词：
ELEMENT METHOD;
D O I：
10.1088/1742-6596/1268/1/012076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper reports new h- and p-versions of the least squares collocation method of high-order accuracy proposed and implemented for solving boundary value problems for the biharmonic equation in irregular and multiply-connected domains. This paper shows that approximate solutions obtained by the least squares collocation method converge with high order and agree with analytical solutions of test problems with high degree of accuracy. There has been a comparison made for the results achieved in this study and results of other authors who used finite difference and spectral methods.
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页数：7
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