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多孔直杆扭转问题的边界元分析
Boundary Element Analysis for Torsional Problem of Mviltihole Bars
【摘要】 多孔直杆弹性扭转问题导致一个Poisson方程的非局部边值问题,相应的积分方程既包含未知函数又包含若干个未知数,并带有约束条件,我们通过把问题化为若干个无约束的变分问题证明了变分解的唯一性,并对近似解进行了误差分析,得到了最佳的误差估计。
【Abstract】 The prolilem of ebistic torsion of unltiholc liars results in a nonlocal boundary value problem for Foissoit equation and the corresponding boundary integral equation with the restrictions contains an nuknowu function awl several unknown numbers. We prove the uniqueness of the variational solution by reducing the problem into several variational problems without restrictions, make the error analysis for the approximate solution and obtain the optimum error estimate.
【关键词】 弹性扭转;
边界元分析;
非局部边值问题;
变分解;
误差估计;
【Key words】 clastic torsion; boundary eleiuent analysis; nonlocal boundary value problem; variational solution; error estimate.;
【Key words】 clastic torsion; boundary eleiuent analysis; nonlocal boundary value problem; variational solution; error estimate.;
- 【文献出处】 应用数学与计算数学学报 ,Communication On Applied Mathematics and Computation , 编辑部邮箱 ,1997年01期
- 【分类号】O343
- 【被引频次】1
- 【下载频次】25