Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem

Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem

Year:    2008

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 5 : pp. 716–727

Abstract

This paper proposes a reliable and efficient a posteriori error estimator for the finite element methods for the beam problem. It is proved that the error can be bounded by the computable error estimator from above and below up to multiplicative constants that do neither depend on the mesh size nor on the thickness of the beam.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8654

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 5 : pp. 716–727

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    The beam problem A posteriori error estimator Finite element method.