Gas phase appearance and disappearance as a problem with complementarity constraints

Details Gas phase appearance and disappearance as a problem with complementarity constraints Gas phase appearance and disappearance as a problem with complementarity constraints

2011-11-16

arxiv.org/abs/1111.3808v1

Mathematics

Analysis of PDEs

No. RR-7803 (2011). arXiv admin note: some text overlap with arXiv:0904.1195

Scientific paper

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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