Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation

نویسندگان

  • Richard S. Falk
  • Michael Neilan
چکیده

Two families of conforming finite elements for the two-dimensional Stokes problem are developed, guided by two discrete smoothed de Rham complexes, which we coin “Stokes complexes.” We show that the finite element pairs are inf-sup stable and also provide pointwise mass conservation on very general triangular meshes.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2013