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Journal of Scientific Computing

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01-07-2014

Star-Based a Posteriori Error Estimates for Elliptic Problems

Authors: B. Achchab, A. Agouzal, N. Debit, K. Bouihat

Published in: Journal of Scientific Computing | Issue 1/2014

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Abstract

We give an a posteriori error estimator for low order nonconforming finite element approximations of diffusion-reaction and Stokes problems, which relies on the solution of local problems on stars. It is proved to be equivalent to the energy error up to a data oscillation, without requiring Helmholtz decomposition of the error nor saturation assumption. Numerical experiments illustrate the good behavior and efficiency of this estimator for generic elliptic problems.

previous article Adaptive Finite Element Approximation for an Elliptic Optimal Control Problem with Both Pointwise and Integral Control Constraints

next article Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains

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Title: Star-Based a Posteriori Error Estimates for Elliptic Problems
Authors: B. Achchab
A. Agouzal
N. Debit
K. Bouihat
Publication date: 01-07-2014
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 1/2014
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-013-9793-x

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