Hybrid element method and its application to processing of essential boundary condition

作者：Zhang, Zu-Jun; Ruan, Feng; Zhang, Sai-Jun

来源：Journal of South China University of Technology(Natural Science Edition), 2010, 38(6): 140-145.

DOI：10.3969/j.issn.1000-565X.2010.06.026

• Computation accuracy
• Element free Galerkin methods
• Element free interpolation
• Element-free method
• Essential boundary conditions
• Hybrid element method
• ITS applications
• Radial point interpolation method

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.

• 出版日期2010-6
• 单位华南理工大学