5 papers
A Fast Volume Integral Equation Solver with Linear Basis Functions for the Accurate Computation of Electromagnetic Fields in MRI
Ioannis P. Georgakis, Ilias I. Giannakopoulos, Mikhail S. Litsarev +1
A stable volume integral equation (VIE) solver based on polarization/magnetization currents is presented, for the accurate and efficient computation of the electromagnetic scatteri…
Memory footprint reduction for the FFT-based volume integral equation method via tensor decompositions
Ilias I. Giannakopoulos, Mikhail S. Litsarev, Athanasios G. Polimeridis
We present a method of memory footprint reduction for FFT-based, electromagnetic (EM) volume integral equation (VIE) formulations. The arising Green's function tensors have low mul…
On the Generalization of DIRECTFN for Singular Integrals Over Quadrilateral Patches
Alexandra Tambova, Mikhail Litsarev, Georgy Guryev +1
A set of fully numerical algorithms for evaluating the four-dimensional singular integrals arising from Galerkin surface integral equation methods over conforming quadrilateral mes…
What Lies Beneath the Surface: Topological-Shape Optimization With the Kernel-Independent Fast Multipole Method
Igor Ostanin, Ivan Tsybulin, Mikhail Litsarev +2
The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our appro…
The valence and spectral properties of rare-earth clusters
L. Peters, I. Di Marco, M. S. Litsarev +5
The rare-earths are known to have intriguing changes of the valence, depending on chemical surrounding or geometry. Here we make predictions from theory that combines density funct…