%0 Journal Article %T DISCONTINUOUS FINITE ELEMENT METHOD WITH PENALTY FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
求解椭圆边值问题惩罚形式的间断有限元方法 %A Zhang Tie %A Fen Nan %A Shi Datao %A
张铁 %A 冯男 %A 史大涛 %J 计算数学 %D 2010 %I %X In this paper, we present a new discontinuous finite element method with penalty for solving the second order elliptic boundary value problems, and then the stability and convergence analyses are given. In particular, we derive a residual-based reliable a posteriori error estimator and establish the corresponding adaptive algorithms for the discontinuous finite element method. %K 椭圆边值问题 %K 间断有限元方法 %K 稳定性和收敛性 %K 后验误差估计 %K 自适应计算 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=52A11109EF0F8166D5120E4D44792BA6&yid=140ECF96957D60B2&vid=9971A5E270697F23&iid=38B194292C032A66&sid=7979125BBE749348&eid=03E56C113B4E5A88&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=14