Gerhard Starke

Gerhard Starke is a Professor of Numerical Mathematics at the Faculty of Mathematics, University of Duisburg-Essen. He leads the Numerical Mathematics workgroup, focusing on the development and analysis of finite element methods for solving complex mathematical and mechanical problems. His research spans multiple areas of computational mathematics with applications in solid mechanics and optimization.

Professor Starke's research interests center around numerical analysis of finite element methods, reconstruction-based a posteriori error estimators, and mixed finite element methods. His work has significant applications in shape optimization, solid mechanics, hyperelasticity, plasticity, and frictional contact problems. His research combines theoretical mathematical analysis with practical computational approaches to solve challenging engineering problems.

Analysis of Professor Starke's recent publications (2017-2025) reveals a strong focus on stress-based methods, shape optimization, and advanced finite element formulations. His work demonstrates a consistent progression from fundamental numerical analysis to increasingly complex applications in solid mechanics. Key trends include the development of constrained first-order system least mean approximation for shape optimization, superconvergent DPG approximations in linear elasticity, and stress-based methods for variational inequalities in contact mechanics.

Professor Starke has secured significant third-party funding for his research, including current projects funded by the German Research Foundation (DFG) within Priority Programs 1748 and 1962. These projects focus on stress approximation in hyperelastic material models and stress-based methods for variational inequalities in solid mechanics. His research collaborations span multiple institutions including Humboldt University Berlin, University of Duisburg-Essen's Institute of Mechanics, and international partners in Switzerland.

• Head of Numerical Mathematics workgroup at University of Duisburg-Essen
• Principal investigator for multiple DFG-funded projects since 1999
• Supervisor for numerous doctoral students including Laura Hetzel, Henrik Schneider, and Kemal Suntay
• Extensive international collaborations with researchers across Europe

The Numerical Mathematics workgroup led by Professor Starke maintains active collaborations with mechanics researchers at the University of Duisburg-Essen and international institutions. The group has participated in significant research initiatives including the DFG Research Training Group 615 and multiple Priority Programs. Current work focuses on applying advanced numerical methods to challenging problems in computational solid mechanics and shape optimization.