Original article: Gas phase appearance and disappearance as a problem with complementarity constraints

Authors:
Ibtihel Ben Gharbia;Jérôme Jaffré
Affiliations:
-;-
Venue:
Mathematics and Computers in Simulation
Year:
2014

Citing 3
Cited 0

Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications

Mathematical Programming: Series A and B
The Primal-Dual Active Set Strategy as a Semismooth Newton Method

SIAM Journal on Optimization
The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions

Computational Optimization and Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.