Tuesday, May 27, 2025 - 14:15 in online
Nonconforming Discretization and Adaptivity for Constrained, Fractional and Nondifferentiable Problems
A talk in the BI.discrete series by
Vera Jakisch from Uni Freiburg
| Abstract: |
In this talk, we investigate the non-conforming finite element discretization of different partial differential equations, each with a different set of challenging properties. In particular, we use Crouzeix-Raviart finite elements, which have been already successfully used for the discretization of problems with discontinuous solutions.
Additionally, we utilize the duality with Raviart-Thomas finite elements to derive a-priori and a-posteriori estimates and adaptively refine the triangulation. We will focus on a total variation minimization problem, a linearized harmonic map problem and the fractional Laplace problem.
This talk gives an overview of my PhD thesis, supervised by Sören Bartels at the University of Freiburg.
Within the CRC this talk is associated to the project(s): A7 |
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