Oberseminar Numerische Mathematik / Scientific Computing
Charlie Elliott
University of Sussex
Computational methods for surface PDEs
Abstract:
Partial differential equations on and for evolving surfaces occur in many applications. For example, traditionally they arise naturally in fluid dynamics and materials science and more recently in the mathematics of images. In this talk we describe computational approaches to the formulation and approximation of transport and diffusion of a material quantity on an evolving surface. We also have in mind a surface which not only evolves in the normal direction so as to define the surface evolution but also has a tangential velocity associated with the motion of material points in the surface which advects material quantities such as heat or mass. We describe two approaches:-1)Evolving Surface Finite Element Method (ESFEM) is based on triangulated surfaces.
2)Eulerian aproach based on solving surface PDEs on all level sets of a prescribed level set function which can be done with a mesh independent of the level surfaces.
| Datum: | 04.05.07 | Zeit: | 14:15 Uhr | Ort: | FU Berlin, Institut für Mathematik II, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |