A finite element method for a noncoercive elliptic problem with Neumann boundary conditions | Zendy

Kavaliou Klim | Zendy; Tobiska Lutz | Zendy

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A finite element method for a noncoercive elliptic problem with Neumann boundary conditions

Author(s) -

Kavaliou Klim,

Tobiska Lutz

Publication year - 2012

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201210324

Subject(s) - discretization , neumann boundary condition , mathematics , finite element method , norm (philosophy) , boundary (topology) , boundary value problem , mathematical analysis , physics , thermodynamics , law , political science

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 H 1 ‐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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