Gregor Gantner

Gregor Gantner is a researcher at TU Wien's Department of Numerical Analysis and Partial Differential Equations, part of the Faculty of Mathematics and Geoinformation. He holds a Dipl.-Ing. and Dr.techn. in technical mathematics. His primary research focuses on adaptive numerical methods for partial differential equations (PDEs), particularly boundary element methods (BEM), isogeometric analysis (IGA), and finite element methods (FEM). He investigates topics such as a posteriori error estimation, optimal computational complexity, and convergence analysis of adaptive algorithms.

Key research themes include:

• Design and implementation of adaptive algorithms for BEM and FEM systems
• Integration of isogeometric analysis with hierarchical B-splines
• Development of optimal convergence frameworks for nonlinear PDEs
• Analysis of computational costs and efficiency in adaptive methods

Notable contributions include:

• Establishing rate optimality of adaptive FEM with respect to computational costs
• Stable MATLAB implementations of adaptive IGABEM techniques
• Advancements in (h-h/2)-type error estimators for FEM

He has advised master's candidates Juliana Kainz (2019) and Stefan Schimanko (2016) on isogeometric BEM applications. His work bridges theoretical foundations with practical implementation, emphasizing algorithmic efficiency and mathematical rigor.