无网格方法中的重构核近似方案  

Reproducing Kernel Approximations in Meshless Mehtod

作　　者：孙威[1] 崔阳[2] 郭鹏飞[1] 蒙彦宇[1] 张莺[3] 

机构地区：[1]辽宁工学院土木建筑系,辽宁锦州121001 [2]沈阳辰宇房地产发展有限责任公司,辽宁沈阳110000 [3]沈阳农业大学高等职业技术学院计电系,辽宁沈阳110122

出　　处：《辽宁工学院学报》2006年第3期174-177,共4页Journal of Liaoning Institute of Technology(Natural Science Edition)

摘　　要：阐述固定重构核近似、移动重构核近似及复合固定重构核近似的基本原理,分析三种重构核近似函数的性质。利用固定重构核近似建立无网格形函数,并结合配点法求解平面弹性力学问题。证明固定重构核近似较其它重构核近似具有独特的优势。The essential principle of fixed reproducing kernel function, moving reproducing kernel function and multiple fixed reproducing kernel function were stated, and the characters of three reproducing kernel function was analyzed. A meshless shapefunction was constructed by fixed reproducing kernel approximation, and solved the 2-D elastic mechanics problem by means of combining collocation. It proves that fixed reproducing kernel approximation has its particular advantages over other methods.

关 键 词：无网格方法 传统重构核近似 固定重构核近似 配点法 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]