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Volume 15, Issue 4-5
Macro Stokes Elements on Quadrilaterals

Michael Neilan & Duygu Sap

Int. J. Numer. Anal. Mod., 15 (2018), pp. 729-745.

Published online: 2018-04

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  • Abstract

We construct a pair of conforming and inf–sup stable finite element spaces for the two–dimensional Stokes problem yielding divergence–free approximations on general convex quadrilateral partitions. The velocity and pressure spaces consist of piecewise quadratic and piecewise constant polynomials, respectively. We show that the discrete velocity and a locally post–processed pressure solution are second–order convergent.

  • Keywords

Finite element analysis, divergence–free, quadrilateral mesh.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

neilan@pitt.edu (Michael Neilan)

dus8@pitt.edu (Duygu Sap)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-729, author = {Michael and Neilan and neilan@pitt.edu and 7968 and Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15226 USA and Michael Neilan and Duygu and Sap and dus8@pitt.edu and 7969 and Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15226 USA and Duygu Sap}, title = {Macro Stokes Elements on Quadrilaterals}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {4-5}, pages = {729--745}, abstract = {

We construct a pair of conforming and inf–sup stable finite element spaces for the two–dimensional Stokes problem yielding divergence–free approximations on general convex quadrilateral partitions. The velocity and pressure spaces consist of piecewise quadratic and piecewise constant polynomials, respectively. We show that the discrete velocity and a locally post–processed pressure solution are second–order convergent.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12540.html} }
TY - JOUR T1 - Macro Stokes Elements on Quadrilaterals AU - Neilan , Michael AU - Sap , Duygu JO - International Journal of Numerical Analysis and Modeling VL - 4-5 SP - 729 EP - 745 PY - 2018 DA - 2018/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12540.html KW - Finite element analysis, divergence–free, quadrilateral mesh. AB -

We construct a pair of conforming and inf–sup stable finite element spaces for the two–dimensional Stokes problem yielding divergence–free approximations on general convex quadrilateral partitions. The velocity and pressure spaces consist of piecewise quadratic and piecewise constant polynomials, respectively. We show that the discrete velocity and a locally post–processed pressure solution are second–order convergent.

Michael Neilan & Duygu Sap. (2020). Macro Stokes Elements on Quadrilaterals. International Journal of Numerical Analysis and Modeling. 15 (4-5). 729-745. doi:
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