二维两阶不定椭圆问题的有限体积元方法的两层网格算法  

The two-grid algorithm of the finite volume element method for second-order indefinite elliptic problems

作　　者：戴珍香[1] 

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《山东大学学报（理学版）》2008年第2期52-57,共6页Journal of Shandong University(Natural Science)

摘　　要：对二维两阶不定椭圆问题的基于P1非协调元的有限体积元方法给出了两层网格算法,并得到在H1范数意义下两层网格算法的收敛性估计:‖uh-uh‖1,h≤CH2‖f‖1,‖u-uh‖1,h≤C(h+H2)‖f‖1。The two-grid algorithm of the finite volume element method of second-order indefinite elliptic problems in R^2 was presented, based on the P1 nonconforming element. The following error estimates in the H^1 -norm between the solution of the twogrid algorithm and the finite volume element approximation of the elliptic problem were derived： ｜｜uh-u^h｜｜t,h≤CH^2｜｜f｜｜t,｜｜u-u^h｜｜t,h≤C（h＋H^2）｜｜f｜｜t

关 键 词：不定椭圆问题 有限体积元方法 两层网格算法 

分 类 号：O241.82[理学—计算数学]