Tuesday, March 10, 2020 - 14:15 in V5-148
Computation of the LBB Constant for the Stokes Equation
A talk in the BI.discrete series by
Johannes Storn
| Abstract: |
An investigation of a least-squares finite element method (LSFEM) for the Stokes equation reveals a relation of the Ladyzhenskaya--Babuška--Brezzi (LBB) constant and the ellipticity constants of the LSFEM. While the approximation of the LBB constant with standard numerical methods is challenging, the approximation of the ellipticity constants is in a Rayleigh--Ritz-like environment. This setting is well-understood and so allows for an easy-to-implement convergent numerical scheme for the computation of the LBB constant. Numerical experiments with uniform and adaptive mesh refinements complement the investigation of this novel scheme.
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