Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality
From MaRDI portal
Publication:2684163
DOI10.1016/j.camwa.2022.11.031OpenAlexW4282981387MaRDI QIDQ2684163
Martin Vohralík, Soleiman Yousef, Ibtihel Ben Gharbia, Joëlle Ferzly
Publication date: 16 February 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.11.031
stopping criteriaa posteriori error estimateelliptic variational inequalitycomplementarity constraintequilibrated fluxsemismooth and smoothing Newton method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
- Interior point methods 25 years later
- A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods
- Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a \(P\)-matrix
- Adaptive inexact semismooth Newton methods for the contact problem between two membranes
- Semi-smooth Newton methods for the Signorini problem.
- Path-following and augmented Lagrangian methods for contact problems in linear elasticity
- A posteriori estimates for partial differential equations
- Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
- Functional analysis, Sobolev spaces and partial differential equations
- A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems
- A semismooth equation approach to the solution of nonlinear complementarity problems
- A note on the Poincaré inequality for convex domains
- Some recent advances in projection-type methods for variational inequalities
- Inexact Newton methods for solving nonsmooth equations
- A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind
- Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation
- A unified framework for high-order numerical discretizations of variational inequalities
- Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems
- Path-following and semismooth Newton methods for the variational inequality arising from two membranes problem
- Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: adaptivity and inexact resolution
- A lower bound on the iterative complexity of the Harker and Pang globalization technique of the Newton-min algorithm for solving the linear complementarity problem
- Gas phase appearance and disappearance as a problem with complementarity constraints
- A smoothing inexact Newton method for variational inequalities with nonlinear constraints
- A new approach for solving nonlinear algebraic systems with complementarity conditions. Application to compositional multiphase equilibrium problems
- Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs
- On the unilateral contact between membranes. Part 2: a posteriori analysis and numerical experiments
- Semismooth Newton methods for variational problems with inequality constraints
- On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1
- Lagrange Multiplier Approach to Variational Problems and Applications
- A finite element discretization of the contact between two membranes
- A stopping criterion for the conjugate gradient algorithm in the framework of anisotropic adaptive finite elements
- On the Unilateral Contact Between Membranes. Part 1: Finite Element Discretization and Mixed Reformulation
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Mixed and Hybrid Finite Element Methods
- Explicit error bounds in a conforming finite element method
- Engineering and Economic Applications of Complementarity Problems
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method
- Semismooth Newton and Augmented Lagrangian Methods for a Simplified Friction Problem
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- The interior-point revolution in optimization: History, recent developments, and lasting consequences
- Adaptive iterative linearization Galerkin methods for nonlinear problems
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Stopping Criteria Based on Locally Reconstructed Fluxes
- Equilibrated residual error estimator for edge elements
- Path-following Methods for a Class of Constrained Minimization Problems in Function Space
- Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem
- Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
- A smoothing inexact Newton method for nonlinear complementarity problems
- Numerical optimization. Theoretical and practical aspects. Transl. from the French
- Finite volume approximation of elliptic problems and convergence of an approximate gradient
This page was built for publication: Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality
