A finite element method for a noncoercive elliptic problem with Neumann boundary conditions |
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Authors: | Klim Kavaliou Lutz Tobiska |
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Institution: | Institute of Analysis and Computational Mathematics, Faculty of Mathematics, Otto-von-Guericke University Magdeburg, PF 4120, D-39106 Magdeburg, Germany |
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Abstract: | We consider a noncoercive convection-diffusion problem with Neumann boundary conditions appearing in modeling of magnetic fluid seals. The associated operator has a non-trivial one-dimensional kernel spanned by a positive function. A discretization is proposed preserving these properties. Optimal error estimates in the H1-norm are based on a discrete stability result. Numerical results confirm the theoretical predictions. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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