Maximilian Zienecker is writing a Master’s thesis in the working group on mathematical models for wound healing: the closing front of a wounded epithelial cell layer is described as a level set and simulated with unfitted finite element methods, calibrated on time-lapse microscopy data. Maximilian is also one of the developers of ngsxditto.

Earlier, in the Bachelor’s thesis and as a student assistant, Maximilian worked on distributed-memory parallel DG in NGSolve: ghost-cell degrees of freedom are communicated on demand instead of via a ghost layer in the mesh distribution, which enables MPI-parallel ghost-penalty couplings in ngsxfem and parallel (Trefftz) DG methods. Further work concerned aggregation as an approach to obtain polytopal finite element meshes.

Publications

• Lehrenfeld, Stocker, Zienecker (2024): Sparsity comparison of polytopal finite element meshes. arXiv:2405.16864