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A new variational inequality formulation for seepage problems with free surfaces

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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.

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Correspondence to Zheng Hong.

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Communicated by GUO Xing-ming

Project supported by the Outstanding Youngster Foundation of the Science and Technology Commission of Hubei Province of China (No. 2002122)

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Hong, Z., De-fu, L., Lee, C.F. et al. A new variational inequality formulation for seepage problems with free surfaces. Appl Math Mech 26, 396–406 (2005). https://doi.org/10.1007/BF02440091

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  • DOI: https://doi.org/10.1007/BF02440091

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2000 Mathematics Subject Classification

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