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A Face Penalty Method for the Three Fields Stokes Equation Arising from Oldroyd-B Viscoelastic Flows

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Andrea Bonito

    (Ecole Polytechnique Fédérale de Lausanne, Department of Mathematics
    Supported by the Swiss National Science Foundation)

  • Erik Burman

    (Ecole Polytechnique Fédérale de Lausanne, Department of Mathematics)

Abstract

We apply the continuous interior penalty method to the three fields Stokes problem. We prove an inf-sup condition for the proposed method leading to optimal a priori error estimates for smooth exact solutions. Moreover we propose an iterative algorithm for the separate solution of the velocities and the pressures on the one hand and the extra-stress on the other. The stability of the iterative algorithm is established.

Suggested Citation

  • Andrea Bonito & Erik Burman, 2006. "A Face Penalty Method for the Three Fields Stokes Equation Arising from Oldroyd-B Viscoelastic Flows," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 487-494, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_44
    DOI: 10.1007/978-3-540-34288-5_44
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