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.首先利用B anach不动点定理证明了相应变分问题弱解的存在唯一性;其次分别给出了不考虑数值积分影响时解的加权H2模误差估计、加权L2模误差估计.
A class of four order nonlinear elliptic problems with singular coefficient is considered. Existence and uniqueness of the weak solution of the variational problem is proved by using the Banach fixed point theorem. Error estimates in weighted H^2 norm and weighted L2 norm with out considering the effect of numerical integration are obtained.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第5期513-517,共5页
Journal of Inner Mongolia University：Natural Science Edition
关键词
四阶非线性奇异椭圆问题
弱解的存在唯一性
加权H^2模估计
加权L2模估计
four order nonlinear elliptic boundary value problem with singular coefficient
existence and uniqueness of the weak solution
weighted H^2 norm estimate
weighted L2 norm estimate
