Project Details
Projekt
Adaptive computations on polygonal meshes (A04)
Subject Area
Mathematics
Term
since 2025
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 539309657
Polygonal methods permit easy meshing, even with elements of different shapes. Adaptive mesh refinement is crucial for achieving efficient approximations, particularly in the presence of singular solutions. Recently, residual based a posteriori error analyses have been developed for polygonal methods, including the virtual element method (VEM). This project will explore alternative a posteriori error estimation techniques to improve the efficiency constants, with a focus on the two-energies principle for the VEM. We will investigate equilibration techniques for second- and fourth-order problems, evaluating their robustness with respect to critical material parameters.
DFG Programme
Collaborative Research Centres
Applicant Institution
Rheinische Friedrich-Wilhelms-Universität Bonn
Project Head
Professor Dr. Joscha Gedicke, since 7/2025
