Gas phase appearance and disappearance as a problem with complementarity constraints

DOI10.1016/j.matcom.2013.04.021OpenAlexW2092963025MaRDI QIDQ2229823

Jérôme Jaffré, Ibtihel Ben Gharbia

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3808

zbMATH Keywords

two-phase flowporous medianonlinear complementarity problemNewton-minnuclear waste underground storage

Mathematics Subject Classification ID

Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Related Items (19)

Adjoint based optimal control of partially miscible two-phase flow in porous media with applications to CO\(_2\) sequestration in underground reservoirs ⋮ An analysis of the unified formulation for the equilibrium problem of compositional multiphase mixtures ⋮ Semi-smooth Newton methods for nonlinear complementarity formulation of compositional two-phase flow in porous media ⋮ Numerical solution of a class of moving boundary problems with a nonlinear complementarity approach ⋮ A hybrid-dimensional compositional two-phase flow model in fractured porous media with phase transitions and Fickian diffusion ⋮ An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media ⋮ A new approach for solving nonlinear algebraic systems with complementarity conditions. Application to compositional multiphase equilibrium problems ⋮ Unnamed Item ⋮ A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints ⋮ Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality ⋮ Parallel reservoir simulators for fully implicit complementarity formulation of multicomponent compressible flows ⋮ Fully coupled generalized hybrid-mixed finite element approximation of two-phase two-component flow in porous media. I: Formulation and properties of the mathematical model ⋮ Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media ⋮ A global implicit solver for miscible reactive multiphase multicomponent flow in porous media ⋮ An Algorithmic Characterization of P-matricity II: Adjustments, Refinements, and Validation ⋮ Non-isothermal compositional liquid gas Darcy flow: formulation, soil-atmosphere boundary condition and application to high-energy geothermal simulations ⋮ Characterizations of solutions in geochemistry: existence, uniqueness, and precipitation diagram ⋮ Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: adaptivity and inexact resolution ⋮ A minimum-type nonlinear complementarity simulator with constrained pressure residual (CPR) methods for wormhole propagation in carbonate acidization

Cites Work

• Unnamed Item
• Unnamed Item
• Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a \(P\)-matrix
• Two-phase, partially miscible flow and transport modeling in porous media; application to gas migration in a nuclear waste repository
• The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Fully coupled generalized hybrid-mixed finite element approximation of two-phase two-component flow in porous media. I: Formulation and properties of the mathematical model
• An Algorithmic Characterization of $P$-Matricity
• Semismooth Newton methods for variational problems with inequality constraints
• Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Inexact semismooth Newton methods for large-scale complementarity problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems

This page was built for publication: Gas phase appearance and disappearance as a problem with complementarity constraints