A stabilized finite-element method for the Stokes problem including element and edge residuals

Araya, Rodolfa and Barrenechea, Gabriel and Valentin, Frédéric (2007) A stabilized finite-element method for the Stokes problem including element and edge residuals. IMA Journal of Numerical Analysis, 27 (1). pp. 172-197. ISSN 0272-4979 (https://doi.org/10.1093/imanum/drl013)

Abstract

A new stabilized finite-element method is presented for the Stokes problem. The method is of a Douglas–Wang type, and includes a positive jump term controlling the residual of the Cauchy stress tensor on the internal edges of the triangulation. A priori error estimates are obtained in the natural norms of the unknowns and an a posteriori error estimator is proposed, analysed and tested through numerical experiments.

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• Item metadata

  Item type:	Article
  ID code:	29666
  Dates:	Date Event January 2007 Published 15 May 2006 Published Online
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	01 Apr 2011 13:18
  Last modified:	08 Apr 2024 18:55
  URI:	https://strathprints.strath.ac.uk/id/eprint/29666