里兹近似方法与数值方法的比较分析

Comparative Analysis of Methods of RITZ Approximate Solution and Numerical Computation

在系统地介绍里兹变分近似方法的基础上,通过一个直角坐标系和一个圆柱坐标系的算例,对稳态热传导问题进行了计算,同时与数值解和精确解进行比较分析.由此可把近似分析解法用于求解各类复杂的非线性问题.

Based on introducing the theoretical physics of Ritz variation approximate method, and with an example of cartesian coordinate and an example of cylindrical coordinate, the steady state heat conduction problems were solved and calculated using the finite volume method （FVM）in structured grid. The results are in agreement when the approximate solution compared with the numerical and the exact solutions. All above demonstrate the significance of application of the Ritz method in numerical computation.