Michael Innerberger

Michael Innerberger is a researcher at TU Wien's Faculty of Mathematics and Geoinformation, affiliated with the Research Group Numerics of PDEs. He holds a Dr.techn. (PhD) and Dipl.-Ing. in engineering. His work focuses on adaptive finite element methods (FEM), numerical analysis, and multigrid solvers for partial differential equations (PDEs), with an emphasis on achieving optimal computational complexity and robust error estimation. Recent contributions include the development of hp-robust multigrid solvers and the MooAFEM MATLAB framework for higher-order adaptive FEM. His research addresses both symmetric and nonsymmetric PDEs, including semilinear and nonlinear cases.

• Education: Dipl.-Ing. (TU Wien), Dr.techn. (2022, TU Wien)
• Key Areas: Adaptive mesh refinement, goal-oriented error control, iterative linearization, and numerical software development.

Publications highlight advancements in rate-optimal and cost-optimal adaptive algorithms for elliptic PDEs, demonstrating rigorous complexity analysis and practical implementation strategies. Collaborations include Dirk Praetorius, Roland Becker, and Jens Markus Melenk.

Labs/Teams: Core member of the Numerics of PDEs research group, contributing to theoretical and computational advancements in scientific computing.