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Volume 13, Issue 6
A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations

E. L Foster, T. Iliescu & D. Wells

Int. J. Numer. Anal. Mod., 13 (2016), pp. 951-968.

Published online: 2016-11

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  • Abstract

This paper presents a conforming finite element semi-discretization of the streamfunction form of the one-layer unsteady quasi-geostrophic equations, which are a commonly used model for large-scale wind-driven ocean circulation. We derive optimal error estimates and present numerical results.

  • Keywords

Quasi-geostrophic equations, finite element method, Argyris element.

  • AMS Subject Headings

65M60, 65M20, 76D99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-13-951, author = {E. L Foster, T. Iliescu and D. Wells}, title = {A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2016}, volume = {13}, number = {6}, pages = {951--968}, abstract = {

This paper presents a conforming finite element semi-discretization of the streamfunction form of the one-layer unsteady quasi-geostrophic equations, which are a commonly used model for large-scale wind-driven ocean circulation. We derive optimal error estimates and present numerical results.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/473.html} }
TY - JOUR T1 - A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations AU - E. L Foster, T. Iliescu & D. Wells JO - International Journal of Numerical Analysis and Modeling VL - 6 SP - 951 EP - 968 PY - 2016 DA - 2016/11 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/473.html KW - Quasi-geostrophic equations, finite element method, Argyris element. AB -

This paper presents a conforming finite element semi-discretization of the streamfunction form of the one-layer unsteady quasi-geostrophic equations, which are a commonly used model for large-scale wind-driven ocean circulation. We derive optimal error estimates and present numerical results.

E. L Foster, T. Iliescu and D. Wells. (2016). A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations. International Journal of Numerical Analysis and Modeling. 13 (6). 951-968. doi:
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