一类拟线性抛物型方程的迭代算法

An iterative algorithm for quasilinear parabolic PDEs

作者使用特殊方法提供了散度型拟线性抛物型方程的L∞(QT)范的先验估计,并在此基础上构造解拟线性抛物型方程的迭代法,迭代每步仅要求解拟线性抛物型方程,然后证明了算法的收敛是几何的.

A priori estimation under the norm L∞ （QT） is derived for the divergent type parabolic equation by means of a special method in this paper. An iteration method is designed to solve this type of equation, which only a linear equation need to be solved at each iterative step. It is shown that the method has a geometrical approximation speed.