小波单元在热传导问题中的应用

The application of wavelet-based element in heat conduction

利用 Daubechies小波尺度函数 ,构造了适用于热传导问题分析的小波单元 ,对不同边界条件的热传导问题进行了分析 .将分析结果与理论解及商用软件 ANSYS的分析结果比较 ,可以看出 ,构造的小波单元是收敛的 ,并具有较高的分析精度 。

Based on Daubechies scaling functions,a wavelet based element is constructed for the problems of heat conduction.The heat conduction problems with different boundary conditions are analyzed.The results obtained in this paper are compared with those by theories and by ANSYS.The numerical examples illustrate that the wavelet based element is convergent,and it has high accuracy for the problems of heat conduction.Especially,for the problems with high gradient,the wavelet based element has original advantages.