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A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES
Authors:Zheng Hong  Liu De-fu  C. F. Lee  L. G. Tham
Affiliation:1. College of Civil & Hydroelectric Engineering, Three Gorges University, Yichang 443002, Hubei Province, P.R. China;Institute of Rock & Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R.China
2. College of Civil & Hydroelectric Engineering, Three Gorges University, Yichang 443002, Hubei Province, P.R. China
3. Department of Civill Engineering, The University of Hong Kong, Hong Kong, P.R. China
Abstract: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.
Keywords:free boundary problem  seepage  variational inequality  finite element
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