@article{1014.76014,
author="Hinterm\"uller, M. and Kunisch, K.",
title="{Inverse problems for elastohydrodynamic models.}",
language="English",
year="2001",
doi={10.1002/1521-4001(200101)81:1<17::AID-ZAMM17>3.0.CO;2-L},
abstract="{Summary: We examine inverse coefficient problems for a variational
    inequalities arising in the elastohydrodynamic lubrication of journal
    bearing. The height of the gap between two rotating surfaces denotes the
    distributed parameter that has to be identified from estimates of pressure
    in the lubricant between the surfaces. The variational inequality approach
    which includes the phenomenon of cavitation, i.e. the situation where the
    gap is not entirely filled by the lubricant, reduces to the Reynolds
    lubrication equation under fully-flooded conditions. Utilizing a regularized
    least-squares formulation, we study the problem of existence of multipliers,
    and the importance and derivation of a first-order characterization amenable
    for (structured) numerical realization.}",
keywords="{inverse coefficient problems; variational inequalities;
    elastohydrodynamic lubrication; journal bearing; cavitation; Reynolds
    lubrication equation; fully-flooded conditions; regularized least-squares
    formulation; existence of multipliers}",
classmath="{*76D08 (Lubrication theory)
76M15 (Boundary element methods)
35R30 (Inverse problems for PDE)
}",
}