关于解椭圆型问题的两个子区域不重叠区域分解算法  

ON THE DOMAIN DECOMPOSITION METHODS FOR ELLIPTIC PROBLEMS WITH TWO SUBSTRUCTURES

作　　者：顾金生[1] 胡显承[1] 

机构地区：[1]清华大学

出　　处：《计算数学》1994年第4期432-447,共16页Mathematica Numerica Sinica

基　　金：国家自然科学基金

摘　　要：关于解椭圆型问题的两个子区域不重叠区域分解算法顾金生，胡显承（清华大学）ＯＮＴＨＥＤＯＭＡＩＮＤＥＣＯＭＰＯＳＩＴＩＯＮＭＥＴＨＯＤＳＦＯＲＥＬＬＩＰＴＩＣＰＲＯＢＬＥＭＳＷＩＴＨＴＷＯＳＵＢＳＴＲＵＣＴＵＲＥＳ￥ＧｕＪｉｎ－ｓｈｅｎｇ；ＨｕＸｉａｎ...We mainly consider the nonconforming finite elements, with their continuity at the nodes of the mesh or at the middle points of each element of the mesh.Based on the energy equivalent relation, independent of the quasi-uniform mesh parameter, between the discrete harmonic extensions in different subdomains, we give a unitary and systematic way to design and analyse the domain decomposition methods for second order self-adjoint elliptic problems with' twO subdomains in conforming or nonconforming discrete cases, inspite of the loss of global continuity of the nonconforming finite elements. A concise summary of all existing domain decomposition methods with two substructures is presented.

关 键 词：椭圆型问题 区域分解法 D问题 

分 类 号：O241.82[理学—计算数学]