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An adaptive low-order FE-scheme for Stokes flow with cavitation
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F. Gimbel
Published/Copyright:
October 20, 2010
Abstract
In this note we derive a posteriori error bounds for FE-discretisations for a fluid problem with cavitation. The underlying model is the Stokes system together with an inequality constraint for the pressure. In order to avoid suboptimal behavior of the error bounds we propose to employ a Lagrange setting yielding an improved estimate. Numerical tests confirm our theoretical results.
Keywords:: Stokes flow; cavitation; a posteriori error estimate; variational inequality; finite element method; adaptivity
Received: 2010-04-21
Revised: 2010-07-29
Published Online: 2010-10-20
Published in Print: 2010-October
© de Gruyter 2010
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Articles in the same Issue
- Domain decomposition solvers for nonlinear multiharmonic finite element equations
- An adaptive low-order FE-scheme for Stokes flow with cavitation
- Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems
- A balancing Neumann–Neumann method for a mortar finite element discretization of a fourth order elliptic problem
Keywords for this article
Stokes flow;
cavitation;
a posteriori error estimate;
variational inequality;
finite element method;
adaptivity
Articles in the same Issue
- Domain decomposition solvers for nonlinear multiharmonic finite element equations
- An adaptive low-order FE-scheme for Stokes flow with cavitation
- Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems
- A balancing Neumann–Neumann method for a mortar finite element discretization of a fourth order elliptic problem
