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Numerical methods for transient geometrical PDEs - Streszczenie
ICM Wydarzenia Seminaria
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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