混合元法及其在本质边界条件处理中的应用  

Hybrid Element Method and Its Application to Processing of Essential Boundary Condition

作　　者：张祖军[1] 阮锋[1] 张赛军[1] 

机构地区：[1]华南理工大学机械与汽车工程学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2010年第6期140-145,共6页Journal of South China University of Technology(Natural Science Edition)

基　　金：广东省教育部产学研结合计划项目(2007A090302028)

摘　　要：为了解决无网格Galerkin(EFG)方法中本质边界条件的施加问题,提出了一种耦合径向基点插值无网格(RPIM)方法与EFG方法的混合元法.该方法将问题域分成两部分,在包含本质边界部分采用RPIM方法处理,其余部分采用EFG方法,然后利用两种无网格插值方法之间的关系进行耦合.数值算例结果表明:文中方法在简明有效地处理本质边界条件的同时,具有与EFG方法相当的计算精度,且易于编程计算.In order to rationally impose essential boundary conditions in the element-free Galerkin（EFG） method,a hybrid element method coupling the radial point interpolation method（RPIM） and the EFG method is proposed.In this method,the problem domain is divided into two parts： one contains the essential boundary and is solved by the RPIM,and the other is solved by the EFG method;and,a coupling is performed according to the relationship between the two above-mentioned element-free interpolation methods.Numerical examples indicate that the proposed method is easy to program,and that it can concisely and effectively process the essential boundary condition,with a computation accuracy as high as that of the EFG method.

关 键 词：无网格法 耦合 混合元法 本质边界条件 

分 类 号：TB126[理学—工程力学]