A posteriori error estimates for parabolic variational inequalities

DOI10.1007/s10915-008-9215-7zbMath1203.65096OpenAlexW2028758914MaRDI QIDQ618423

David Pommier, Frederic Hecht, Yves Achdou

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9215-7

zbMATH Keywords

adaptive mesh refinementfinite element methodsa posteriori error estimatesparabolic obstacle problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

\(L^{\infty }\)-error estimate of a parabolic quasi-variational inequalities systems related to management of energy production problems via the subsolution concept ⋮ \(L^{\infty }\)-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem ⋮ \(L^{\infty}\)-error analysis for parabolic quasi-variational inequalities related to impulse control problems ⋮ A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities ⋮ A direct algorithm in some free boundary problems ⋮ On finite element approximation of system of parabolic quasi-variational inequalities related to stochastic control problems ⋮ A new error estimate on uniform norm of a parabolic variational inequality with nonlinear source terms via the subsolution concepts

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pointwise a posteriori error control for elliptic obstacle problems
• Adaptive finite element methods with convergence rates
• A posteriori error estimates for elliptic variational inequalities
• Residual type a posteriori error estimates for elliptic obstacle problems
• Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Adaptive Multilevel Methods for Obstacle Problems
• Semi–Smooth Newton Methods for Variational Inequalities of the First Kind
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• A posteriori analysis of the finite element discretization of some parabolic equations
• Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
• ADAPTIVE FINITE ELEMENT METHODS FOR THE OBSTACLE PROBLEM
• Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems

This page was built for publication: A posteriori error estimates for parabolic variational inequalities