Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems

Authors:
Andreas Veeser
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
2001

Citing 0
Cited 7

A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind

Applied Numerical Mathematics
Adaptive finite element methods for Cahn-Hilliard equations

Journal of Computational and Applied Mathematics
A Posteriori Error Estimates for Parabolic Variational Inequalities

Journal of Scientific Computing
A posteriori error analysis for the normal compliance problem

Applied Numerical Mathematics
Efficient and reliable hierarchical error estimates for an elliptic obstacle problem

Applied Numerical Mathematics
A Posteriori Error Estimator for Obstacle Problems

SIAM Journal on Scientific Computing
A Novel Hierarchial Error Estimate for Elliptic Obstacle Problems

Journal of Scientific Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

A posteriori error estimators are derived for linear finite element approximations to elliptic obstacle problems. These estimators yield global upper and local lower bounds for the discretization error. Here discretization error means the sum of two contributions: the distance between continuous and discrete solution in the energy-norm and some quantity that is related to the distance of continuous and discrete contact set. Moreover, the local error indicators in the interior of the discrete contact set reduce to quantities that measure only data resolution.