A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities

DOI10.1016/j.cma.2020.113105zbMath1506.65191OpenAlexW3022880066MaRDI QIDQ2021152

Martin Vohralík, Vincent Martin, Jad Dabaghi

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113105

zbMATH Keywords

adaptivitya posteriori error estimatestopping criterionparabolic variational inequalitycomplementarity conditionsemismooth Newton method

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items

Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions, An Introductory Review on A Posteriori Error Estimation in Finite Element Computations, Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation, Adaptive inexact semismooth Newton methods for the contact problem between two membranes

Uses Software

• PLCP
• SQPlab

Cites Work

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