2011/11/16 by Gharbia, Ibtihel Ben, Jaffré, Jérôme
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geophysics (physics.geo-ph) #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1111.3808
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.