Carsten Carstensen

Carsten Carstensen is a Professor at the Humboldt University of Berlin, affiliated with the Faculty of Mathematics and Natural Sciences and the Institute of Mathematics. His research focuses on numerical analysis, finite element methods, computational mechanics, and adaptive algorithms. He has contributed significantly to the development and theoretical analysis of numerical techniques for solving complex mathematical models in solid and fluid mechanics, including studies on linear elasticity, Stokes equations, and non-Newtonian fluids. His work emphasizes error estimation, method robustness, and optimal convergence rates.

His research interests include the application of advanced finite element methodologies such as hybrid high-order (HHO) methods, virtual elements, and mixed formulations. He also explores eigenvalue problems, nonlinear partial differential equations, and plasticity models, with a particular attention to the interplay between mathematical theory and computational implementation. Recent studies highlight his efforts to unify error analysis frameworks and improve adaptivity in numerical simulations.

While no scientific awards are explicitly listed, his extensive publication record reflects a deep engagement with foundational and applied aspects of computational mathematics. His advising and grants activities are not detailed in the text, but his research spans collaborations on topics such as microstructure modeling and numerical algorithms for elastoplasticity. He is based at the Institute of Mathematics, contributing to its research on differential equations and computational engineering.