摘要
研究非线性Sobolev方程Galerkin解法的后处理与超收敛．对半离散及全离散格式，证明了当有限元空间次数，r≥2时，有限元解经过后处理，H1-模和L2-模误差估计可分别提高一阶．
The postprocessing for Galerkin methods for nonlinear Sobolev equations is studied in this paper.lt is proved that the estimates error in H1-and L2- norms after postprocessing can be improved by one order for both discrete and semi-discrete schemes as well as continuous time scheme has been proved when the degree of the standard finite element space is no less than two.
出处
《系统科学与数学》
CSCD
北大核心
1999年第2期225-229,共5页
Journal of Systems Science and Mathematical Sciences
基金
国家教委博士点基金
