Thursday, September 30, 2021 - 09:00 in V2-210/216
Local Mesh Refinement for TV Regularized Problems
A talk in the BI.discrete Workshop series by
Sören Bartels from Freiburg
| Abstract: |
Nonconforming and discontinuous finite elements are attractive for discretising variational problems with limited regularity properties, in particular, when discontinuities may occur. The possible lack of differentiability of related functionals prohibits the use of classical arguments to derive error estimates. As an alternative we make use of discrete and continuous convex duality relations and of quasi-interpolation operators with suitable projection properties. For total variation regularised minimisation problems a quasi-optimal error estimate is derived which is not available for standard finite element methods. Our results use and extend recent ideas by Chambolle and Pock.
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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