Low-order divergence-free finite element methods

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• Gabriel Barrenechea, University of Strathclyde
• Thursday 14 November 2019, 13:00-14:00
• Nuffield G13.

If you have a question about this talk, please contact Fabian Spill.

In this talk I will review results on a divergence-free reconstruction of the lowest order pair for the Navier-Stokes equation. More precisely, from a stabilised P1xP0 scheme, a divergence-free velocity field is built as the result of a lift of the pressure jumps, and it is then plugged in the convective term of the momentum equation. This process provides a method that can be proven stable without the need to suppose the mesh refined enough. We first apply this idea to the transient Navier-Stokes equations, where estimates independent of the viscosity are derived. Then, the applicability of this idea is extended to a steady-state generalised Boussinesq system.

This talk is part of the Applied Mathematics Seminar Series series.

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• Applied Mathematics Seminar Series
• Nuffield G13
• School of Mathematics Events

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