Philipp Bringmann

Dr. Philipp Bringmann is a postdoctoral researcher at the Institute of Analysis and Scientific Computing, Technische Universität Wien (TU Wien), where he has worked since February 2023. His research focuses on adaptive finite element methods, particularly for fourth-order partial differential equations and Stokes problems, with emphasis on optimal convergence rates and parameter-free implementations.

His work includes the development of C0 interior penalty methods for the biharmonic equation, discontinuous Petrov-Galerkin schemes for nonlinear problems, and rigorous convergence analysis for adaptive least-squares finite element methods. He has contributed to a posteriori error estimation, discretization stability, and nonconforming mesh techniques.

His publications span journals such as Numerische Mathematik, arXiv.org, and Computers and Mathematics with Applications, with recurring themes in numerical analysis and computational mathematics. Collaborators include Prof. Carsten Carstensen and Prof. Dirk Praetorius.