节点文献
一类拟线性抛物型方程的迭代算法
An iterative algorithm for quasilinear parabolic PDEs
【摘要】 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.
【Abstract】 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.
【关键词】 拟线性抛物型方程;
先验估计;
半离散有限元迭代算法;
【Key words】 parabolic equation; priori estimation; approximation by finite element method;
【Key words】 parabolic equation; priori estimation; approximation by finite element method;
【基金】 国家自然科学基金(10671136)
- 【文献出处】 四川大学学报(自然科学版) ,Journal of Sichuan University(Natural Science Edition) , 编辑部邮箱 ,2008年04期
- 【分类号】O175.26
- 【被引频次】3
- 【下载频次】89