Numerical solution of transient geometric differential equations

• Applicant: Professor Dr. Gerhard Dziuk
• Subject Area: Mathematics
• Term: from 2002 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5469304

This project deals with numerical methods for evolutionary geometric differential equations with mathematical or physical background. The aim is to design and implement algorithms for Willmore Flow, Surface Diffusion and for minimal surfaces in the Minkowski space in order to gain insight into the dynamic behaviour of solutions of these problems. Plan is, to prove stability, convergence and error estimates. The common feature of all the equations is that the motion of a surface or an interface is driven by curvature effects.

• DFG Programme: Research Units
• Subproject of: FOR 469: Nonlinear Partial Differential Equations: Theoretical and Numerical Analysis