Gas phase appearance and disappearance as a problem with complementarity   constraints
  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. 
Ibtihel Ben Gharbia, J\'er\^ome Jaffr\'e
math.AP math.NA physics.geo-ph