Numerical methods for transient geometric partial
differential equations
Prof. Gerhard Dziuk
Uniwersytet we Freiburgu
Niemcy
The main geometric flow problems are gradient flows for geometric
energies. Mean curvature flow is the gradient flow for area, Willmore
flow appears as gradient flow of the Willmore functional, i. e. the
classical bending energy. Besides their mathematical beauty these flows
are of interest for a wide range of applications such as phase transition
problems and image processing.
These geometric flows lead to highly nonlinear parabolic
and degenerate partial differential equations of second
and fourth order. We give a survey over the discretization
by finite elements and discuss stability and convergence
of the algorithms.
Seminarium odbędzie się w dniu 24 listopada 2005 o godz. 14:00
w sali seminaryjnej w siedzibie ICM
na ul. Pawińskiego 5a, V piętro.
03.11.2005
