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《Journal of Xi'an Jiaotong University》 2003-01
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Study of Wavelet Finite Element Method and Its Engineering Application

Chen Xuefeng,Yang Shengjun,Ma Junxing,He Zhengjia(School of Mechanical Engineering, Xi′an Jiaotong University, Xi′an 710049, China)  
A new finite element space is studied, in which the scaling functions of Daubechies wavelets are considered as the interpolation basis funcitions, then the wavelet finite element (WFE) is constructed. In order to overcome the integral difficulty for lack of the explicit scaling function expression, a new and efficient integral method for stiffness matrix and load matrix is presented by employing two-scale equations. Furthermore, the bending for a thin plate equations based on WFE is derived, and the bending characters of thin plate and the inner temperature distribution of office paper are studied. Numerical results indicate that WFE has desirable calculation precision and can eliminate 05% numeric distortion caused from temperature changes. Especially, WFE is superior to traditional finite element method while dealing with large gradient probelm, such as suddenly changing boundary condition.
【Fund】: 国家自然科学基金资助项目(50175087);; 西安交通大学博士学位论文基金资助项目(DFXJU1999-6).
【CateGory Index】: O241.8
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