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Volume 26, Issue 5
Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem

Yiran Zhang & Jun Hu

J. Comp. Math., 26 (2008), pp. 716-727.

Published online: 2008-10

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  • 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.

  • Keywords

The beam problem, A posteriori error estimator, Finite element method.

  • AMS Subject Headings

65N30, 65N15.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-716, author = {Yiran Zhang and Jun Hu}, title = {Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8654.html} }
TY - JOUR T1 - Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem AU - Yiran Zhang & Jun Hu JO - Journal of Computational Mathematics VL - 5 SP - 716 EP - 727 PY - 2008 DA - 2008/10 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8654.html KW - The beam problem, A posteriori error estimator, Finite element method. AB -

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.

Yiran Zhang and Jun Hu. (2008). Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem. Journal of Computational Mathematics. 26 (5). 716-727. doi:
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