Because of the widespread use of the Method of Moments for simulation of radiation and
scattering problems, analysis and control of solution error is a significant concern in …

The potential of sparse grid discretizations for solving boundary integral equations is studied
for the screen problem on a square in R^3. Theoretical and numerical results on …

We study boundary element methods for time-harmonic scattering in R^ n R n (n= 2, 3 n= 2,
3) by a fractal planar screen, assumed to be a non-empty bounded subset Γ Γ of the …

The solution of the wave equation in a polyhedral domain in R^ 3 R 3 admits an asymptotic
singular expansion in a neighborhood of the corners and edges. In this article we formulate …

We give some estimates related to finite element multilevel splittings and Sobolev norms of
negative order. Basically, results for the positive order case are carried over by duality. In …

Preconditioning techniques for dense linear systems arising from singular boundary integral
equations are described and analyzed. A particular class of approximate inverse based …

We study the h-and p-versions of the Galerkin boundary element method for integral
equations of the first kind in 2D and 3D which result from the scattering of time harmonic …

We study the accuracy and convergence of the method of moments for numerical scattering
computations for an important benchmark geometry: the finite circular cylinder. From the …

We analyze the boundary element Galerkin method for weakly singular and hypersingular
integral equations of the first kind on open surfaces. We show that the hp-version of the …

We study the classical first-kind boundary integral equation reformulations of time-harmonic
acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens. We …