Oberseminar Numerical Mathematics / Scientific Computing
Marco Picasso
École Polytechnique Fédérale de Lausanne (EPFL)
Adaptive finite elements with large aspect ratio: theory and practice
Abstract:
Adaptive finite elements with large aspect ratio aim to reduce the number of vertices, given a prescribed level of accuracy. Adaptive finite elements with large aspect ratio have proved to be very efficient in the presence of internal or boundary layers: free surface flows, flows around aircrafts, microfluidics.
The classical, isotropic, finite element theory needs to be revisited to account for finite elements with large aspect ratio. I will focus on residual based, anisotropic a posteriori error estimates for the Laplace equation. Extension to evolution problems, parabolic and hyperbolic, will also be discussed.
| Date: | 24.10.11 | Time: | 17:00 Uhr | Location: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Room: | 031 Basement |