We propose an operator preconditioner for general elliptic pseudodifferential equations in a
domain\varOmega Ω, where\varOmega Ω is either in R^ n R n or in a Riemannian manifold …

We establish new explicit expressions and variational forms of boundary integral operators
that provide the exact inverses of the weakly singular and hypersingular operators for-Δ-Δ …

We solve first-kind Fredholm boundary integral equations arising from Helmholtz and
Laplace problems on bounded, smooth screens in three dimensions with either Dirichlet or …

In the present contribution, we consider symmetric positive definite operators stemming from
boundary integral equation, and we study a two-level preconditioner where the coarse …

We introduce four integral operators related to the Laplace equation in three dimensions on
the circular unit disk. Two of them are related to the weakly singular operator and the other …

This work is concerned with boundary element methods on singular geometries, specifically,
those falling in the framework of``multi-screens" by Claeys and Hiptmair. We construct a …

A preconditioner is proposed for Laplace exterior boundary value problems on multi-
screens. To achieve this, the quotient-space boundary element method and operator …

Calderón multiplicative preconditioners are an effective way to improve the condition
number of first kind boundary integral equations yielding provable mesh independent …

We propose a preconditioner for the Helmholtz exterior problems on multi-screens. For this,
we combine quotient-space BEM and operator preconditioning. For a class of multi-screens …

We propose preconditioners for the Helmholtz scattering problems by a planar, disk-shaped
screen in ℝ 3. Those preconditioners are approximations of the square-roots of some partial …