A new coupling technique for the combination of wavelet-Galerkin method with finite element method in solids and structures

作者：Liu, Yanan; Liu, Yinghua; Ding, Keqin

来源：International Journal for Numerical Methods in Engineering, 2017, 112(10): 1295-1322.

DOI：10.1002/nme.5558

• coupling technique
• wavelet-Galerkin method
• finite element method
• transition region
• B-spline basis functions

In this paper, a coupling technique is developed for the combination of the wavelet-Galerkin method (WGM) with the finite element method (FEM). In this coupled method, the WGM and FEM are respectively used in different sub-domains. The WGM sub-domain and the FEM sub-domain are connected by a transition region that is described by B-spline basis functions. The basis functions of WGM and FEM are modified in the transition region to ensure the basic polynomial reconstruction condition and the compatibility of displacements and their gradients. In addition, the elements of FEM and WGM are not necessary to conform to the transition region. This newly developed coupled method is applied to the stress analysis of 2D and 3D elasticity problems in order to investigate its performance and study parameters. Numerical results show that the present coupled method is accurate and stable. The new method has a promising potential for practical applications and can be easily extended for coupling of other numerical methods.

• 出版日期2017-12-7
• 单位中国特种设备检测研究院; 清华大学