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Volume 5, Issue 4
A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems

Yuping Zeng, Jinru Chen & Feng Wang

DOI: 10.4208/eajam.060415.230915a

East Asian J. Appl. Math., 5 (2015), pp. 327-341.

Published online: 2018-02

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  • Abstract

A weakly over-penalized symmetric interior penalty method is applied to solve elliptic eigenvalue problems. We derive a posteriori error estimator of residual type, which proves to be both reliable and efficient in the energy norm. Some numerical tests are provided to confirm our theoretical analysis.

  • Keywords

Interior penalty method, weakly over-penalization, elliptic eigenvalue problems, a posteriori error estimate.

  • AMS Subject Headings

65N15, 65N25, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-5-327, author = {Yuping Zeng, Jinru Chen and Feng Wang}, title = {A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {5}, number = {4}, pages = {327--341}, abstract = {

A weakly over-penalized symmetric interior penalty method is applied to solve elliptic eigenvalue problems. We derive a posteriori error estimator of residual type, which proves to be both reliable and efficient in the energy norm. Some numerical tests are provided to confirm our theoretical analysis.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.060415.230915a}, url = {http://global-sci.org/intro/article_detail/eajam/10816.html} }
TY - JOUR T1 - A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems AU - Yuping Zeng, Jinru Chen & Feng Wang JO - East Asian Journal on Applied Mathematics VL - 4 SP - 327 EP - 341 PY - 2018 DA - 2018/02 SN - 5 DO - http://doi.org/10.4208/eajam.060415.230915a UR - https://global-sci.org/intro/article_detail/eajam/10816.html KW - Interior penalty method, weakly over-penalization, elliptic eigenvalue problems, a posteriori error estimate. AB -

A weakly over-penalized symmetric interior penalty method is applied to solve elliptic eigenvalue problems. We derive a posteriori error estimator of residual type, which proves to be both reliable and efficient in the energy norm. Some numerical tests are provided to confirm our theoretical analysis.

Yuping Zeng, Jinru Chen and Feng Wang. (2018). A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems. East Asian Journal on Applied Mathematics. 5 (4). 327-341. doi:10.4208/eajam.060415.230915a
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