17 citations · 121 across the 30 of their papers we have counts for
7 papers · 1 filter
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…
A Discontinuous Galerkin method for Shock Capturing using a mixed high-order and sub-grid low-order approximation space
Per-Olof Persson, Benjamin Stamm
This article considers a new discretization scheme for conservation laws. The discretization setting is based on a discontinuous Galerkin scheme in combination with an approximatio…
Gradient Flow Finite Element Discretizations with Energy-Based Adaptivity for the Gross-Pitaevskii Equation
Pascal Heid, Benjamin Stamm, Thomas P. Wihler
We present an effective adaptive procedure for the numerical approximation of the steady-state Gross-Pitaevskii equation. Our approach is solely based on energy minimization, and c…
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…
Boundary integral equations for isotropic linear elasticity
Benjamin Stamm, Shuyang Xiang
This articles first investigates boundary integral operators for the three-dimensional isotropic linear elasticity of a biphasic model with piecewise constant Lamé coefficients in…
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…