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
 
Abstract:
 
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
 <http://www.tau.ac.il/~adid/AM_seminar_2010-201/AM_seminar_2010-2011.html>
 
______________________________________________________________________
 
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:   <adid@post.tau.ac.il>  |
______________________________________________________________________
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Adi Ditkowski   <adid@post.tau.ac.il>