Gas phase appearance and disappearance as a problem with complementarity constraints
Jaffré, Jérôme; Ben Gharbia, Ibtihel (2014), Gas phase appearance and disappearance as a problem with complementarity constraints, Mathematics and Computers in Simulation, 99, p. 28-36. http://dx.doi.org/10.1016/j.matcom.2013.04.021
TypeArticle accepté pour publication ou publié
Journal nameMathematics and Computers in Simulation
MetadataShow full item record
Abstract (EN)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.
Subjects / KeywordsNewton-min; Non-smooth function; Nonlinear complementarity problem; Nuclear waste underground storage; Dissolution; Two-phase flow; Porous media
Showing items related by title and author.
Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints Dana, Rose-Anne; Carlier, Guillaume (2006) Article accepté pour publication ou publié
Oviedo, Juan-Daniel; Guillerminet, Marie-Laure; Gasmi, Farid; Chaton, Corinne (2012-09) Article accepté pour publication ou publié