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

Abstract

In the present contribution, we consider symmetric positive definite operators stemming from boundary integral equation (BIE), and we study 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.