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Volume 3, Issue 3
Superconvergence Studies of Quadrilateral Nonconforming Rotated Q1 Elements

P. Ming, Z. Shi & Y. Xu

Int. J. Numer. Anal. Mod., 3 (2006), pp. 322-332.

Published online: 2006-03

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  • Abstract

For the nonconforming rotated $Q_1$ element over a mildly distorted quadrilateral mesh, we propose a superconvergence property at the element center, the vertices and the midpoints of four edges. Numerics are presented to confirm this observation.

  • Keywords

superconvergence, nonconforming rotated $Q_1$ element, Kershaw mesh.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-3-322, author = {P. Ming, Z. Shi and Y. Xu}, title = {Superconvergence Studies of Quadrilateral Nonconforming Rotated Q1 Elements}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {3}, pages = {322--332}, abstract = {

For the nonconforming rotated $Q_1$ element over a mildly distorted quadrilateral mesh, we propose a superconvergence property at the element center, the vertices and the midpoints of four edges. Numerics are presented to confirm this observation.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/904.html} }
TY - JOUR T1 - Superconvergence Studies of Quadrilateral Nonconforming Rotated Q1 Elements AU - P. Ming, Z. Shi & Y. Xu JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 322 EP - 332 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/904.html KW - superconvergence, nonconforming rotated $Q_1$ element, Kershaw mesh. AB -

For the nonconforming rotated $Q_1$ element over a mildly distorted quadrilateral mesh, we propose a superconvergence property at the element center, the vertices and the midpoints of four edges. Numerics are presented to confirm this observation.

P. Ming, Z. Shi and Y. Xu. (2006). Superconvergence Studies of Quadrilateral Nonconforming Rotated Q1 Elements. International Journal of Numerical Analysis and Modeling. 3 (3). 322-332. doi:
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