## 留言板

 引用本文: 熊渊博, 龙述尧. 薄板的局部Petrov-Galerkin方法[J]. 应用数学和力学, 2004, 25(2): 189-196.
XIONG Yuan-bo, LONG Shu-yao. Local Petrov-Galerkin Method for a Thin Plate[J]. Applied Mathematics and Mechanics, 2004, 25(2): 189-196.
 Citation: XIONG Yuan-bo, LONG Shu-yao. Local Petrov-Galerkin Method for a Thin Plate[J]. Applied Mathematics and Mechanics, 2004, 25(2): 189-196.

• 中图分类号: O302

## Local Petrov-Galerkin Method for a Thin Plate

• 摘要: 利用薄板控制微分方程的等效积分对称弱形式和对变量(挠度)采用移动最小二乘近似函数进行插值，研究了薄板弯曲问题的无网格局部Petrov-Galerkin方法．这是一种真正的无网格方法，它不需要任何有限元或边界元网格，不管这种网格是用于能量积分还是进行插值的目的．所有的积分都在规则形状的子域及其边界上进行，并用罚因子法施加本质边界条件．数值例子表明，无网格局部Petrov-Galerkin法不但能够求解二阶微分方程的边值问题，而且求解四阶微分方程的边值问题也很有效，也具有收敛快、稳定性好、对挠度和内力都具有精度高的特点．
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##### 出版历程
• 收稿日期:  2001-11-27
• 修回日期:  2003-06-27
• 刊出日期:  2004-02-15

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