A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem

DOI10.1016/j.apnum.2018.09.002zbMath1406.65120OpenAlexW2892008082WikidataQ129294699 ScholiaQ129294699MaRDI QIDQ1615864

Mirjam Walloth

Publication date: 31 October 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.09.002

zbMATH Keywords

Signorini problemdiscontinuous Galerkin methodfull-contact zoneGalerkin functionalresidual-type a posteriori error estimator

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Linear elasticity with initial stresses (74B10) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Pointwise a posteriori error analysis of a finite element method for the Signorini problem ⋮ Mesh adaptivity for quasi‐static phase‐field fractures based on a residual‐type a posteriori error estimator ⋮ Adaptive quadratic finite element method for the unilateral contact problem ⋮ Pointwise a posteriori error control of discontinuous Galerkin methods for unilateral contact problems ⋮ A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints

Uses Software

• p1afem

Cites Work

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• Introduction

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