非线性抛物问题的对称修正有限体积元方法(英文)  

Symmetric Modified Finite Volume Element Methods for Nonlinear Parabolic Problems

作　　者：尹哲[1] 芮洪兴[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《工程数学学报》2006年第3期530-536,共7页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(10471049)

摘　　要：本文对一类非线性抛物型方程提出对称修正有限体积元方法,给出能量模最优阶误差估计,并证明了对称修正有限体积元方法的解与一般有限体积元方法的解之差是一个更高阶项。In this paper, we present a kind of symmetric modified finite volume element method for nonlinear parabolic problems, and give the optimal order energy norm error estimates for full discrete schemes. It is also proved that the difference between the solutions of finite volume element method and the solutions of symmetric modified finite volume element method is a higher order term.

关 键 词：对称系数矩阵 有限体积元 误差估计 全离散 

分 类 号：O241.82[理学—计算数学]