Johannes Kraus

Prof. Dr. Johannes Kraus is a faculty member at the University of Duisburg-Essen, affiliated with the Faculty of Mathematics. His research focuses on advanced numerical methods for partial differential equations and their applications across multiple disciplines.

• University: University of Duisburg-Essen
• Faculty: Faculty of Mathematics
• Contact: Thea-Leymann-Str. 9, 45127 Essen, Germany

Dr. Kraus specializes in numerical solution of partial differential equations, discretization techniques (including finite element and isogeometric analysis), numerical linear algebra, and subspace correction methods like domain decomposition and multigrid. His work extends to high-performance computing and machine learning applications in medicine, engineering, and sciences.

Recent publications highlight collaborations on nonlinear poroelasticity, space-time finite element methods, and preconditioning techniques for complex systems. Articles span domains such as biomechanics, biomolecular electrostatics, and multiscale modeling, demonstrating interdisciplinary impact.

Teaching responsibilities include Numerical Mathematics II (Summer 2025) and Numerical Mathematics I, with seminars on multiphysics finite element software. He leads the Numerical Mathematics group and has secured third-party funding from DFG and FWF grants.