Thursday, September 30, 2021 - 17:10 in V2-210/216
A posteriori error analysis of the inf-sup constant for the divergence
A talk in the BI.discrete Workshop series by
Dietmar Gallistl from Jena
| Abstract: |
Two a posteriori error estimates for a numerical approximation scheme for the inf-sup constant for the divergence (also known as the LBB constant) are shown. Under the assumption that the inf-sup constant is an eigenvalue of the Cosserat operator separated from the essential spectrum and that the mesh size is sufficiently small, the first estimate bounds the eigenvalue and eigenfunction errors from above and below by an error estimator up to multiplicative constants. In the second error estimate the reliability constant converges to 1 as the mesh size decreases, at the expense of a suboptimal efficiency estimate, and so allows for guaranteed enclosures of the inf-sup constant on sufficiently fine meshes.
Attendance is only possible after registration with the organizers and with 3G-certificate.
Within the CRC this talk is associated to the project(s): A7, B7 |
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