Section: New Results

Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO

We consider symmetric positive definite operators stemming from boundary integral equation (BIE), and we analysed a two-level preconditioner where the coarse space is built using local generalized eigenproblems in the overlap. We will refer to this coarse space as the GenEO coarse space. We obtained bounds on the condition number of the preconditionned system. In this work package, we also performed large scale numerical experiments for testing the scalability of our approach. We relied on parallel implementation of our algorithm.