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| HAL: hal-00641621, version 1 |
| arXiv: 1111.3808 |
| See detailed view |  BibTeX,EndNote,... |
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| Gas phase appearance and disappearance as a problem with complementarity constraints |
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| Ibtihel Ben Gharbia 1Jérôme Jaffré 1 |
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| (2011-11) |
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| 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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| 1: | ESTIME (INRIA Paris-Rocquencourt) |
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INRIA |
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| Estime |
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| Domain | : | Computer Science/Modeling and Simulation Mathematics/Analysis of PDEs Mathematics/Numerical Analysis Environmental Sciences |
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| Porous media – two-phase flow – dissolution – nuclear waste underground storage – nonlinear complementarity problem – non-smooth function – Newton-min |
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| hal-00641621, version 1 | |
| http://hal.inria.fr/hal-00641621 | |
| oai:hal.inria.fr:hal-00641621 | |
| From: Ibtihel Ben Gharbia | |
| Submitted on: Wednesday, 16 November 2011 12:34:44 | |
| Updated on: Wednesday, 16 November 2011 15:20:27 | |
