Extrapolation of Bilinear Finite Element with Non-Smooth Solution
(1.Department of Mathematics,Hengyang Normal University,Hengyang 421000,Hunan China;2.College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China)
[1] LIN Q,LIU J Q.A Discussion for Extrapolation Method for Finite Elements [M].Beijing:Techn. Rep. Inst. Math.,Academia Sinica,1980.[2] LIN Q,L T,SHEN S.Maximum Norm Estimate,Extrapolation and Optimal Point of Stresses for the Finite Element Methods on the Strongly RegularTriangulation [J].J. Comput. Math.,1983,2:376-383.[3] LIN Q,ZHU Q D.Local Asymptotic Expansion and Extrapolation for Finite Elements [J].J. Comput. Math.,1986,4(3):263-265.[4] 易利军.一维问题非光滑解有限元逼近的超收敛性及后处理 [D].长沙:湖南师范大学,2007.[5] 魏继东,朱起定.有限元误差新定义及性质 [J].衡阳师范学院学报:自然科学版,2007,(3):7-9.[6] 林群,朱起定.有限元的预处理与后处理理论 [M].上海:上海科技出版社,1994.[7] 林群,严宁宁.高效有限元构造与分析 [M].石家庄:河北大学出版社,1996.[8] 朱起定,林群.有限元超收敛理论 [M].长沙:湖南科技出版社,1989.[9] 陈传淼,黄云清.有限元高精度理论 [M].长沙:湖南科技出版社,1995.