Tel Aviv University
  School of Mathematical Sciences
    Applied Mathematics Seminar
Date:          Tuesday March 1st, 2011, 15:10
Place:             Schreiber Bldg, Room 309
Speaker:     Dalia Fishelov
         Afeka-Tel-Aviv Academic College of Engineering
Title: Optimal convergence of a fourth-order compact scheme for the
biharmonic problem
We present a fourth-order approximation of the biharmonic problem in the
one-dimensional case and prove its optimal (fourth-order) convergence to
the exact solution for non-periodic boundary conditions. The discrete
set of eigenfunctions and eigenvalues are calculated and presented.
We also present a high-order compact scheme for the biharmonic equation
and study its accuracy and stability properties.
Similar such approximations are derived for the two-dimensional
Navier-Stokes equations. Numerical results indicate the existence of
periodic solutions for high Reynolds number.
Joint work with M. Ben-Artzi and J.-P. Croisille
For information about future seminars, see
Dr. Adi Ditkowski                                                     |
Department of Applied Mathematics                                     |
School of Mathematical Sciences          phone:  972-3-640-5987       |
Tel Aviv University,                     fax  :  972-3-640-9357       |
Tel Aviv, 69978 Israel                   email:   <>  |
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from: Adi Ditkowski   <>