非线性定常温度场的摄动解

本文用摄动方法求解热传导系数是温度的线性函数的非线定常温度场问题。文中将摄动法与有限元法结合,推导了有关计算格式。与其它求解方法相比,本文提出的方法有着更广泛的应用范围,并显著地节省了计算量,算例表明了这种方法的有效性。

The Perturbation Technique for Solving Nonlinear Stable Temperature Field

In this paper the nonlinear stable temperature field problem, in which the conductivity is a linear function of temperature, has been solved by using the perturbation technique. A series of formulae of combining the perturbation with FEM have been derived. Compared with other methods this combination can be used more widely and can save the computational time notably. An example shows the efficiency of this method.