Abstract:
The talk will deal mostly with the biharmonic operator on an interval and the optimal approximation of its eigenvalues.
To this end a suitable discrete elliptic calculus is presented , allowing the use of classical elliptic results (e.g., coercivity).
The fact that there is no "algorithm" for the first eigenvalue of the biharmonic operator in a square motivates this work.
Based in part on a joint work with Guy Katriel