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

Andrea Bonito () and Erik Burman ()
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Andrea Bonito: Ecole Polytechnique Fédérale de Lausanne, Department of Mathematics
Erik Burman: Ecole Polytechnique Fédérale de Lausanne, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 487-494 from Springer

Abstract: 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.

Keywords: Discontinuous Galerkin; Interior Penalty; Edge Stabilization; Generalize Stokes Problem; Stationary Linear Problem (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_44

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DOI: 10.1007/978-3-540-34288-5_44

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