An efficient and reliable residual-type a posteriori error estimator for the Signorini problem

DOI10.1007/s00211-014-0655-8zbMath1334.74081OpenAlexW1967316273MaRDI QIDQ2340902

Andreas Veeser, Mirjam Walloth, Rolf H. Krause

Publication date: 21 April 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2434/354774

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) 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) Numerical methods for variational inequalities and related problems (65K15) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (14)

A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem ⋮ Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture ⋮ 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 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 ⋮ An adaptive least-squares mixed finite element method for the Signorini problem ⋮ Mesh and model adaptivity for frictional contact problems ⋮ Pointwise a posteriori error control of discontinuous Galerkin methods for unilateral contact problems ⋮ A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem ⋮ NCP Function--Based Dual Weighted Residual Error Estimators for Signorini's Problem ⋮ On Nitsche's Method for Elastic Contact Problems ⋮ Nitsche's method for unilateral contact problems ⋮ A Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility Constraints

Uses Software

• UG

Cites Work

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