University of Cambridge > Talks.cam > Applied and Computational Analysis > On an optimal biharmonic solver

On an optimal biharmonic solver

Add to your list(s) Download to your calendar using vCal

  • UserShaun Lui (University of Manitoba)
  • ClockThursday 24 May 2012, 15:00-16:00
  • HouseMR9, CMS.

If you have a question about this talk, please contact ai10.

The Dirichlet biharmonic equation occurs in many areas of science and engineering, including fluid mechanics, elasticity, material science, etc. It is a fourth order partial differential equation (PDE) which means that the numerical solution of this equation is far more difficult than second order PDEs such as the Poisson equation. We shall use the preconditioned conjugate gradient method, which solves the finite element problem in a complexity proportional to the number of unknowns. The crucial step is to find a preconditioned based on the Poincare–Steklov operator (or Dirichlet to Neumann map) for a pseudodifferential operator. This method works for smooth domains in any number of space dimensions. It builds upon the fundamental work by Glowinski and Pironneau.

This talk is part of the Applied and Computational Analysis series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity