Markus Faustmann

Markus Faustmann is a Senior Scientist at the Institute of Analysis and Scientific Computing (E 101) at TU Wien. He holds a Dipl.-Ing. Dr.techn. degree in Technical Mathematics. His research focuses on numerical methods for partial differential equations (PDEs), finite element methods (FEM), boundary element methods (BEM), hierarchical matrices, elliptic regularity, and fractional differential operators. Faustmann has been recognized with the TU Best Teacher Award (2022) and TU Best Paper Award (2022) from TU Wien's Faculty of Mathematics and Geoinformation.

Education: PhD in Mathematics from TU Wien (2015), supervised by J.M. Melenk; Diploma in Technical Mathematics (2011) and Bachelor of Science in Mathematics (2009), both from TU Wien.

Research Interests: Development and analysis of numerical methods for non-local operators, including fractional Laplacian problems, hp-FEM, matrix compression techniques, and error estimation. His work emphasizes efficient discretization strategies and theoretical foundations for complex PDE systems.

Teaching: Current courses include Numerical Methods for PDEs (Summer 2025), Non-local Operators (Winter 2024/25), and Scientific Programming for Interdisciplinary Mathematics. He has also supervised numerous bachelor's and master's theses in numerical analysis and computational mathematics.

Awards: His research contributions have been highlighted through prestigious awards, reflecting his expertise in both teaching and applied numerical analysis.