Department of Mathematics

CIM CoSy Seminar

  • Date: 5/24/2017 at 12:15 PM 1:00 PM
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å11167
  • Lecturer: Dr Natasha Flyer, Institute for Mathematics Applied to Geosciences, National Center for Atmospheric Research. Prof. Bengt Fornberg Department of Applied Mathematics, University of Colorado.
  • Contact person: Joel Dahne
  • Phone: 0762020507
  • Seminarium

Radial Basis Function-generated Finite Differences(RBF-FD): Freedom from meshes in scientific computing; Dr Natasha Flyer, Institute for Mathematics Applied to Geosciences, National Center for Atmospheric Research. Prof. Bengt Fornberg Department of Applied Mathematics, University of Colorado.

24 May
Speaker: Dr Natasha Flyer, Institute for Mathematics Applied to Geosciences, National Center for Atmospheric Research. Prof. Bengt Fornberg Department of Applied Mathematics, University of Colorado.
Title: Radial Basis Function-generated Finite Differences(RBF-FD): Freedom from meshes in scientific computing
Place: Å11167
Time: 12:15 -- 13:00
Abstract: Finite difference (FD) methods were first used for solving PDEs over a century ago. Ever since then, FD stencils have typically been based on Cartesian grids, requiring the results to be exact for polynomials of as high degree as permitted by the stencil size. When the polynomials are either supplemented with or altogether replaced by radial basis functions (RBFs), grids become unnecessary and the node points can be scattered as needed. Such RBF-FD approximations combine high levels of accuracy with much improved geometric flexibility, essential both for local refinement and to accurately handle irregular boundaries and material interfaces. Additional benefits include high computational efficiency, short and simple codes, and excellent opportunities for scalability on high performance computing architectures. We will in this presentation highlight some recent RBF-FD calculations, mostly from the geosciences.