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> | ______________________________________________________________________ --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Adi Ditkowski <adid@post.tau.ac.il>