Simulating the dynamics of discretized interacting structures whose relationship is dictated
by a kernel function gives rise to a large dense matrix. We propose a multigrid solver for …

For general symmetric positive definite (SPD) matrices, we present a framework for
designing effective and robust black-box preconditioners via structured incomplete …

We investigate an efficient preconditioning of iterative methods (such as GMRES) for solving
dense linear systems A x= b that follow from a boundary element method (BEM) for the 3D …

We develop numerical methods to simulate the fluid-mechanical erosion of many bodies in
two-dimensional Stokes flow. The broad aim is to simulate the erosion of a porous medium …

We present an algorithm to parallelize the inverse fast multipole method (IFMM), which is an
approximate direct solver for dense linear systems. The parallel scheme is based on a …

In the framework of the second-order concurrent computation homogenization method for
saturated granular material, meso-structured RVE (Representative Volume Element) is …

Boundary value problems involving elliptic PDEs such as the Laplace and the Helmholtz
equations are ubiquitous in physics and engineering. Many such problems have alternative …

We consider suspensions of rigid bodies in a two‐dimensional viscous fluid. Even with high‐
fidelity numerical methods, unphysical contact between particles occurs because of spatial …

The finite-difference time-domain (FDTD) method is a popular technique for solving the
Maxwell equations. The method works by updating unknowns in a leap-frog manner, starting …

Lineare zeit-harmonische akustische Problemstellungen lassen sich effizient mit der
Randelementmethode (BEM) lösen. Für Außenraumprobleme erweist sich die BEM als …