摘要
本文讨论了简化摩擦接触问题的一类对称弱超内罚间断Galerkin方法.首先,在能量范数意义下得到最优先验误差估计.进一步,我们推导了一类残量型后验误差估计子,并证明了它的可靠性和有效性.
In this paper,we propose a weakly over-penalized symmetric interior penalty discontinuous Galerkin method to solve a simplified frictional contact problem,First,an optimal a priori error estimate in the energy norm is obtained.Additionally,we derive a residual-based a posteriori error estimator which is proved to be reliable and efficient.
作者
曾玉平
翁智峰
胡汉章
Zeng Yuping;Weng Zhifeng;Hu Hanzhang(School of Mathematics,Jiaying University,Meizhou 514015,China;School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)
出处
《计算数学》
CSCD
北大核心
2021年第2期162-176,共15页
Mathematica Numerica Sinica
基金
国家自然科学基金(No.11526097,No.11701197)
广东省自然科学基金(No.2020A1515011032,No.2018A0303100016)资助.
关键词
变分不等式
摩擦接触问题
弱超罚
间断GALERKIN方法
先验误差估计
后验误差估计
variational inequality
frictional contact problem
weakly over-penalization
discontinuous Galerkin method
a priori error estimate
a posteriori error estimate
