一类四阶奇异非线性椭圆方程的Galerkin误差估计  

Error Estimation with Galerkin Finite Element Method for a Class of Fourth Order Nonlinear Singular Elliptic Problems

作　　者：曹京平[1] 李琳琳[1] 

机构地区：[1]内蒙古财经学院统计与数学学院,呼和浩特010070

出　　处：《内蒙古大学学报（自然科学版）》2010年第4期373-376,共4页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古教育厅自然科学基金资助项目(NJzy08110)

摘　　要：利用有限元方法研究了一类四阶奇异非线性椭圆方程,先由Hardy不等式证明了解的先验估计,并给出了不考虑数值积分影响时的L2模误差估计和L∞模误差估计.A class of fourth order nonlinear singular elliptic problems is studied by finite element method.Prior estimate of solution is proved by Hardy inequality and the error estimation in L2 norm and L∞ norm is given without consideration of the effect of numerical integration.

关 键 词：四阶非线性奇异椭圆问题 HARDY不等式 L2模误差估计 L∞模误差估计 

分 类 号：O241.21[理学—计算数学]