摘要
在完全区域分解法的基础上,提出一种解带非线性滑移边界条件的Stokes方程的并行有限元算法.由于这类边界具有次微分性,故其弱变分形式是第二类变分不等式.并行有限元近似解的最优误差估计将通过理论分析得到.最后,数值结果验证了算法的高效性.
Based on full domain partition,a parallel finite element algorithm has been proposed for the Stokes equations with nonlinear slip boundary conditions.The variational form of these equations are variational inequalities of the second kind due to the subdifferentional property included by the nonlinear slip boundary condition.The optimal error estimates of the parallel finite element approximate solutions have been obtained by theoretical analysis.Some numerical results have been given to demonstrate the high efficiency of the parallel algorithm.
作者
周康瑞
尚月强
ZHOU Kang-rui;SHANG Yue-qiang(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)
出处
《西南师范大学学报(自然科学版)》
CAS
北大核心
2020年第5期32-38,共7页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11361016)
重庆市基础与前沿探索研究计划项目(cstc2018jcyjAX0305)
中央高校基本科研业务费专项(XDJK2018B032).