MULTIGRID FOR THE MORTAR ELEMENT METHOD WITH LOCALLY P1 NONCONFORMING ELEMENTS高等学校计算数学学报：英文版论文
【题名】：MULTIGRID FOR THE MORTAR ELEMENT METHOD WITH LOCALLY P1 NONCONFORMING ELEMENTS高等学校计算数学学报：英文版论文(MULTIGRID FOR THE MORTAR ELEMENT METHOD WITH LOCALLY P1 NONCONFORMING ELEMENTSGaoDengXueXiaoJiSuanShuXueXueBao：YingWenBanLunWen) 【关键词】：多重网格算法 Poisson方程 收敛性 有限元法 【keywords】：DuoZhongWangGeSuanFa PoissonFangCheng ShouLianXing YouXianYuanFa 【作者】：毕春加,李立康,      【来源】： 知识词典 【期刊名称】：高等学校计算数学学报：英文版(GaoDengXueXiaoJiSuanShuXueXueBao：YingWenBan) 【国际标准刊号】：1004-8979        【国内统一刊号】：32-1348 【作者单位】：[1]DepartmentofMathematics,OceanUniversityofChina,Qingdao266071,PRC. [2]DepartmentofMathematics,FudanUniversity,Shanghai200433,PRC.([1]DepartmentofMathematics,OceanUniversityofChina,Qingdao266071,PRC. [2]DepartmentofMathematics,FudanUniversity,Shanghai200433,PRC.) 【分类号】：O241.82      【页码】：-193-204      【出版年】：2003.2 【下载地址】：下载pdf全文         In this paper we study the theoretical properties of multigrid algorithm for discretization of the Poisson equation in 2D using a mortar element method under the assumption that the triangulations on every subdomain are uniform. We prove the convergence of the ω-cycle with a sufficiently large number of smoothing steps. The variable ν-cycle multiorid preconditioner are also available.
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