演講公告

新聞標題：　( 2017-09-21 )

• 演講主題：A cheapest stable nonconforming finite element methods for the Stokes/Navier-Stokes equations

• 主講人：Dongwoo Sheen 教授 (首爾大學數學系)

• 演講日期：2017年10月3日(星期二) 14:30 –15:20

• 演講地點：(光復校區) 科學一館223室

• 茶會時間：當天下午15:20 (科學一館205室)

• 摘要內容：
  

  Abstract. We give a brief review on nonconforming finite elements based on quadrialteral meshes. Then we introduce and analyze a “stable cheapest nonconforming finite element” pair on rectangular grids, with modification on the corner elements adopting the nonconforming finite element method introduced by Cai–Douglas–Ye. Except at these two corner elements, for all other elements we use the simplest P1 nonconforming quadrilateral element for the approximation of each component of velocity fields plus a globally one–dimensional bubble space, while the pressure is approximated by the piecewise constant element. We then apply this stable cheapest nonconforming pairs to approximate the steady–state Navier–Stokes equations in a rectangular cavity. Some numerical and mathematical comparisons ensure the simplicity and superiority in capturing the correct physical properties of cavity flow over other finite element methods. The numerical evidence with this element show simpler and cheaper elements can catch more precise physical characteristics. This talk is mainly based on the paper, jointly written by Roktaek Lim.

• 相關檔案：Talk_1061003.pdf

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