4 citations · 5 across the 5 of their papers we have counts for
8 papers
Trace estimates for harmonic functions along circular arcs with applications to domain decomposition on overlapping disks
Thiago Carvalho Corso, Muhammad Hassan, Abhinav Jha +1
In this paper we derive several (and in many cases sharp) estimates for the -trace norm of harmonic functions along circular arcs. More precisely, we obtain geometry-…
Modified-operator method for the calculation of band diagrams of crystalline materials
Eric Cancès, Muhammad Hassan, Laurent Vidal
In solid state physics, electronic properties of crystalline materials are often inferred from the spectrum of periodic Schrödinger operators. As a consequence of Bloch's theorem,…
Continuity estimates for Riesz potentials on polygonal boundaries
Xavier Claeys, Muhammad Hassan, Benjamin Stamm
Riesz potentials are well known objects of study in the theory of singular integrals that have been the subject of recent, increased interest from the numerical analysis community…
A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the -Body Dielectric Spheres Problem
Muhammad Hassan, Benjamin Stamm
This article deals with the efficient and accurate computation of the electrostatic forces between charged, spherical dielectric particles undergoing mutual polarisation. We use th…
On the Scalability of the Parallel Schwarz Method in One-Dimension
Gabriele Ciaramella, Muhammad Hassan, Benjamin Stamm
In contrast with classical Schwarz theory, recent results in computational chemistry have shown that for special domain geometries, the one-level parallel Schwarz method can be sca…
An Integral Equation Formulation of the -body Dielectric Spheres Problem. Part II: Complexity Analysis
Bérenger Bramas, Muhammad Hassan, Benjamin Stamm
This article is the second in a series of two papers concerning the mathematical study of a boundary integral equation of the second kind that describes the interaction of diel…
On the Scalability of the Schwarz Method
Gabriele Ciaramella, Muhammad Hassan, Benjamin Stamm
In this article, we analyse the convergence behaviour and scalability properties of the one-level Parallel Schwarz method (PSM) for domain decomposition problems in which the bound…
An Integral Equation Formulation of the -Body Dielectric Spheres Problem. Part I: Numerical Analysis
Muhammad Hassan, Benjamin Stamm
In this article, we analyse an integral equation of the second kind that represents the solution of interacting dielectric spherical particles undergoing mutual polarisation. A…