A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind

DOI10.1016/j.camwa.2015.08.031zbMath1443.65314OpenAlexW2191904898MaRDI QIDQ2006564

Andreas Schröder, Markus Bürg

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.08.031

zbMATH Keywords

variational inequalitieserror control\(hp\)-fem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for variational inequalities and related problems (65K15)

Related Items

Uzawa block relaxation method for free boundary problem with unilateral obstacle, Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional Contact, Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity, A posteriori error control and adaptivity of \(hp\)-finite elements for mixed and mixed-hybrid methods, Mixed and Stabilized Finite Element Methods for the Obstacle Problem, Adaptive finite element methods for a fourth order obstacle problem and a state constrained optimal control problem, Adaptive quadratic finite element method for the unilateral contact problem, Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality, Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance, Self-adaptive projection and boundary element methods for contact problems with Tresca friction, A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements, An adaptive wavelet collocation method for solving optimal control of elliptic variational inequalities of the obstacle type, A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities, A unified framework for high-order numerical discretizations of variational inequalities, Virtual element methods for elliptic variational inequalities of the second kind, Adaptive inexact semismooth Newton methods for the contact problem between two membranes, Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: adaptivity and inexact resolution, A priori and a posteriori error estimates for \(hp\)-FEM for a Bingham type variational inequality of the second kind

Uses Software

• deal.ii

Cites Work

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