摘要
研究奇异两点边值问题插值算子的性质,证明其具有压缩性质,并导出有限元迭代校正解的收敛性,最后给出数值例子验证理论的正确性.
The approximation properties of interpolation operators for singular two-point boundary value problems are studied, and the properties which is so-called contractivity of interpolation operators are proved. Then the convergence of the iterated defect correction of finite elements is derived. Finally, some numerical examples are given to prove the correctness of theoretical results.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第4期396-402,共7页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金(批准号:10871022)
贵州省自然科学基金
贵州师范大学青年教师科研发展基金项目资助
关键词
奇异两点边值问题
插值算子压缩性
有限元迭代校正
singular two-point boundary value problem
contractivity of the interpolationoperator
iterated defect correction of finite element
