Stability of the finite elements 9/(4c+1) and 9/5c for stationary Stokes equations

  • Authors:

  • Jinshui Qin;Shangyou Zhang

  • Affiliations:

  • 10321 Yellow Pine Dr., Vienna, VA 22182, United States;Department of Mathematical Sciences, University of Delaware, DE 19716, United States

  • Venue:
  • Computers and Structures
  • Year:
  • 2005

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Abstract

In this paper we study the stability of two quadrilateral elements 9/(4c+1) and 9/5c for stationary Stokes equations. These two elements are very similar. However their stabilities are quite different. It is shown that the element 9/(4c+1) is stable. The stability of the element 9/5c is shown mesh-dependent. Numerical tests are provided.