简化摩擦接触问题的对称弱超内罚间断Galerkin方法的先验和后验误差估计  

A PRIORI AND A POSTERIORI ERROR ESTIMATES OF A WOPSIP DG METHOD FOR A SIMPLIFIED FRICTIONAL CONTACT PROBLEM

作　　者：曾玉平 翁智峰 胡汉章[1] Zeng Yuping;Weng Zhifeng;Hu Hanzhang(School of Mathematics,Jiaying University,Meizhou 514015,China;School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]嘉应学院数学学院,梅州514015 [2]华侨大学数学科学学院,泉州362021

出　　处：《计算数学》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.

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.

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 

分 类 号：O241.82[理学—计算数学] O313.5[理学—数学]