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一类完全非线性抛物方程的非协调有限元方法
引用本文:张步英,李丽华,王静.一类完全非线性抛物方程的非协调有限元方法[J].佳木斯大学学报,2009,27(1).
作者姓名:张步英  李丽华  王静
作者单位:张步英,ZHANG Bu-ying(欧美学院,河北科技师范学院,河北秦皇岛,066004);李丽华,王静,LI Li-hua,WANG Jing(数理系,河北科技师范学院,河北秦皇岛,066004)  
摘    要:将四边形Wilson元应用到一类完全非线性抛物方程,在半离散格式下,得到其Galerkin近似解与精确解的最优L2模与Snh>模误差估计.

关 键 词:完全非线性  抛物方程  Wilson元

Nonconforming Finite Element Method for a Kind of Strongly Nonlinear Parabolic Equations
ZHANG Bu-ying,LI Lihua,WANG Jing.Nonconforming Finite Element Method for a Kind of Strongly Nonlinear Parabolic Equations[J].Journal of Jiamusi University(Natural Science Edition),2009,27(1).
Authors:ZHANG Bu-ying  LI Lihua  WANG Jing
Institution:1.E&A College;Hebei Normal University of Science & Technology;Qinhuangdao 066004;China;2.Department of Math and Physics;China
Abstract:A kind of strongly nonlinear parabolic equations is solved by Wilson finite element method with quadrilateral meshes.The optimal error estimation in L2 norm and Sh norm for the semidiscrete scheme was derived.
Keywords:strongly nonlinear  parabolic equations  Wilson element  
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