四阶非线性奇异抛物方程的有限元方法的误差估计  

Error Estimation for Finite Element Methods of Fourth Order Nonlinear Singular Parabolic Problems

作　　者：李琳琳[1,2] 曹京平[2] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]内蒙古财经学院统计与数学学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2011年第6期636-640,共5页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：考虑了一类四阶非线性奇异抛物方程,给出了其变分问题及半离散和全离散格式;给出了半离散解的加权L2模及加权H2模误差估计;然后又给出了全离散解即C-N方法的加权L2模误差估计.A class of fourth order nonlinear boundary problems with singular coefficients is considered.Its variational problem and semi-discrete and fully discrete formulation are given.The weighted L2 norm and the weighted H2 norm error estimations for semi-discrete problems are obtained.Meantime,an error estimation in weighted L2 norm for C-N fully-discrete scheme is obtained.

关 键 词：变分问题 加权L2模 加权H2模误差估计 

分 类 号：O242.21[理学—计算数学]