Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary
Yves Achdou, Christophe Sabot, Nicoletta Anna Tchou · Comptes Rendus Mathématique · 2006
We consider some boundary value problems in self-similar ramified domains, with Laplace and Helmholtz equations. We discuss transparent boundary conditions. These conditions permit computing the restriction of the solutions to domains obtained by stopping the geometric construction after a finite number of steps.