A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (3): 396-406 .

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A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

ZHENG Hong, LIU De-fu, LEE C.F. , THAM L.G.

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

Received:2004-08-17 Revised:2004-11-17 Online:2005-03-18 Published:2005-03-18
Contact: ZHENG Hong

Abstract

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.

Key words: variational inequality, free boundary problem, finite element, seepage

2010 MSC Number:

ZHENG Hong;LIU De-fu;LEE C.F.;THAM L.G.. A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES. Applied Mathematics and Mechanics (English Edition), 2005, 26(3): 396-406 .

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A NEW VARIATIONAL INEQUALITY FORMULATION FOR SEEPAGE PROBLEMS WITH FREE SURFACES

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