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

DOI10.1007/s10589-010-9379-6zbMath1236.90146OpenAlexW2071107542MaRDI QIDQ763397

Peter Knabner, Serge Kräutle, Hannes Buchholzer, Christian Kanzow

Publication date: 9 March 2012

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://opus.bibliothek.uni-wuerzburg.de/files/5140/Dis.pdf

zbMATH Keywords

quadratic convergencecomplementarity problemsreactive transportsemismooth Newton methodmineral precipitation-dissolution

Mathematics Subject Classification ID

Methods of quasi-Newton type (90C53) Transportation, logistics and supply chain management (90B06)

Related Items

Existence and Uniqueness of a Global Solution for Reactive Transport with Mineral Precipitation-Dissolution and Aquatic Reactions in Porous Media, A new smooth NCP function for solving semidefinite nonlinear complementarity problems, Bounds for the extremal eigenvalues of a class of symmetric tridiagonal matrices with 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, Gas phase appearance and disappearance as a problem with complementarity constraints, A global implicit solver for miscible reactive multiphase multicomponent flow in porous media, A fully implicit finite volume scheme for single phase flow with reactive transport in porous media, An exponential integrator for finite volume discretization of a reaction-advection-diffusion equation, Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a \(P\)-matrix, Robust simulation of mineral precipitation-dissolution problems with variable mineral surface area

Cites Work

• Unnamed Item
• A mesh-independence result for semismooth Newton methods.
• The Schur complement and its applications
• A nonsmooth version of Newton's method
• The Semismooth Algorithm for Large Scale Complementarity Problems
• Nonsmooth Equations: Motivation and Algorithms
• Optimization and nonsmooth analysis
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Inexact semismooth Newton methods for large-scale complementarity problems
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Finite-Dimensional Variational Inequalities and Complementarity Problems