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Journal Articles Mathematics and Computers in Simulation Year : 2013

Gas phase appearance and disappearance as a problem with complementarity constraints

Abstract

The modeling of migration of hydrogen produced by the corrosion of the nuclear waste packages in an underground storage including the dissolution of hydrogen involves a set of nonlinear partial differential equations with nonlinear complementarity constraints. This article shows how to apply a modern and efficient solution strategy, the Newton-min method, to this geoscience problem and investigates its applicability and efficiency. In particular, numerical experiments show that the Newton-min method is quadratically convergent for this problem.
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Dates and versions

hal-00641621 , version 1 (16-11-2011)
hal-00641621 , version 2 (08-01-2014)

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Ibtihel Ben Gharbia, Jérôme Jaffré. Gas phase appearance and disappearance as a problem with complementarity constraints. Mathematics and Computers in Simulation, 2013, ⟨10.1016/j.matcom.2013.04.021⟩. ⟨hal-00641621v2⟩
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