基于无网格配点法的光滑化技术与应用

《基于无网格配点法的光滑化技术与应用》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、英文摘要基于无网格配点法的光滑化技术及应用solutions.Themethodinthispaperisnotonlysimpleincalculationbutalsohasahigheraccuracyandconvergence，andgetsabetterresult,withthepromotionofgoodvalue.Keywords:collocationmethod;smoothing;reduceoder;radialpointinterpolation;movingleasts

2、quareWrittenbyWuHaisongSupervisedbyProf.YaoLinquanIII目录第一章引言................................................................................................................1第二章基于配点型无网格法的光滑化................................................................

3、....42.1形函数的构造...................................................................................................42.1.1径向基点插值形函数.............................................................................42.1.2移动最小二乘近似形函数...............................

4、......................................62.2光滑化技术.......................................................................................................8第三章算例分析...............................................................................................

5、.........133.1一维问题........................................................................................................133.1.1一维二阶边值问题...............................................................................133.1.2一维二阶初始值问题.....................

6、......................................................173.1.3动态变系数热传导问题......................................................................203.1.4Euler-Bernoulli梁弯曲变形问题........................................................223.2二维问题..................

7、......................................................................................273.2.1二维Poisson问题................................................................................273.2.2双调和方程的降阶计算....................................................

8、...................353.3悬臂梁.............................................................................................................383.3.1平面问题的基本方程...........................................................................38