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Volume 26, Issue 2
Local a Priori and a Posteriori Error Estimate of TQC9 Element for the Biharmonic Equation

Ming Wang & Weimeng Zhang

J. Comp. Math., 26 (2008), pp. 196-208.

Published online: 2008-04

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  • Abstract

In this paper, local a priori, local a posteriori and global a posteriori error estimates are obtained for TQC9 element for the biharmonic equation. An adaptive algorithm is given based on the a posteriori error estimates.

  • Keywords

Finite element, Biharmonic equation, A priori error estimate, A posteriori error estimate, TQC9 element.

  • AMS Subject Headings

65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-196, author = {Ming Wang and Weimeng Zhang}, title = {Local a Priori and a Posteriori Error Estimate of TQC9 Element for the Biharmonic Equation}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {2}, pages = {196--208}, abstract = {

In this paper, local a priori, local a posteriori and global a posteriori error estimates are obtained for TQC9 element for the biharmonic equation. An adaptive algorithm is given based on the a posteriori error estimates.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8618.html} }
TY - JOUR T1 - Local a Priori and a Posteriori Error Estimate of TQC9 Element for the Biharmonic Equation AU - Ming Wang & Weimeng Zhang JO - Journal of Computational Mathematics VL - 2 SP - 196 EP - 208 PY - 2008 DA - 2008/04 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8618.html KW - Finite element, Biharmonic equation, A priori error estimate, A posteriori error estimate, TQC9 element. AB -

In this paper, local a priori, local a posteriori and global a posteriori error estimates are obtained for TQC9 element for the biharmonic equation. An adaptive algorithm is given based on the a posteriori error estimates.

Ming Wang and Weimeng Zhang. (2008). Local a Priori and a Posteriori Error Estimate of TQC9 Element for the Biharmonic Equation. Journal of Computational Mathematics. 26 (2). 196-208. doi:
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