A COUPLED METHOD COMBINING CROUZEIX-RAVIART NONCONFORMING AND NODE CONFORMING FINITE ELEMENT SPACES FOR BOIT CONSOLIDATION MODEL  

作　　者：Yuping Zeng Mingchao Cai Liuqiang Zhong 

机构地区：[1]School of Mathematics,Jiaying University,Meizhou 514015,China [2]Department of Mathematics,Morgan State University,1700 E Cold Spring Ln,Baltimore,MD 21251,USA [3]School of Mathematical Science,South China Normal University,Guangzhou 520631,China

出　　处：《Journal of Computational Mathematics》2024年第4期911-931,共21页计算数学（英文）

基　　金：supported by the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515011032);The work of M.Cai is supported in part by the NIH-BUILD(Grant No.UL1GM118973);by the NIH-RCMI(Grant No.U54MD013376);the National Science Foundation awards(Grant Nos.1700328,1831950);The work of L.Zhong is supported by the National Natural Science Foundation of China(Grant No.12071160)。

摘　　要：A mixed finite element method is presented for the Biot consolidation problem in poroe-lasticity.More precisely,the displacement is approximated by using the Crouzeix-Raviart nonconforming finite elements,while the fuid pressure is approximated by using the node conforming finite elements.The well-posedness of the fully discrete scheme is established,and a corresponding priori error estimate with optimal order in the energy norm is also derived.Numerical experiments are provided to validate the theoretical results.

关 键 词：Poroelasticity Nonconforming finite element Inf-sup condition A priori error estimate 

分 类 号：O17[理学—数学]