A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES  

作　　者：郑宏 刘德富 李焯芬 谭国焕 

机构地区：[1]College of Civil & Hydroelectric Engineering, Three Gorges University,Yichang 443002, Hubei Province, P.R.China [2].Institute of Rock & Soil Mechanics, Chinese Academy of Sciences,Wuhan 430071, P.R.China [3]Department of Civil Engineering, The University of Hong Kong,Hong Kong, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第3期396-406,共11页应用数学和力学（英文版）

基　　金：ProjectsupportedbytheOutstandingYoungsterFoundationoftheScienceandTechnologyCommis sionofHubeiProvinceofChina (No .2 0 0 2 1 2 2 )

摘　　要：A new variational inequality formulation for seepage problems with free surfaces was presented, in which a boundary condition of (Signorini's) type was prescribed over the potential seepage surfaces. This made the singularity of seepage points eliminated and the location of seepage points determined. Compared to other variational formulations, the proposed formulation owns better numerical stability.A new variational inequality formulation for seepage problems with free surfaces was presented, in which a boundary condition of (Signorini's) type was prescribed over the potential seepage surfaces. This made the singularity of seepage points eliminated and the location of seepage points determined. Compared to other variational formulations, the proposed formulation owns better numerical stability.

关 键 词：free boundary problem SEEPAGE variational inequality finite element 

分 类 号：TV139.14[水利工程—水力学及河流动力学] O241.82[理学—计算数学]