A Posteriori Error Analysis of a P2-CDG Space-Time Finite Element Method for the Wave Equation  

作　　者：Yuling Guo Jianguo Huang 

机构地区：[1]College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China [2]School of Mathematical Sciences and MOE-LSC,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2022年第3期662-678,共17页高等学校计算数学学报（英文版）

基　　金：supported by NSFC(Grant Nos.12071289,11571237,12101409);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA25010402).

摘　　要：This paper develops a posteriori error bound for a space-time finite element method for the linear wave equation.The standard P_(l)conforming element is used for the spatial discretization and a P_(2)-CDG method is applied for the time discretization.The essential ingredients in the a posteriori error analysis are the twice time reconstruction functions and the C^(1)(J)-smooth elliptic reconstruction,which lead to reliable a posteriori error bound in view of the energy method.As an outcome,a time adaptive algorithm is proposed with the error equidistribution strategy.Numerical experiments are reported to illustrate the performance of the a posteriori error bound and the validity of the adaptive algorithm.

关 键 词：P_(2)-CDG wave equations a posteriori error estimate 

分 类 号：O17[理学—数学]