1 code implementation • 23 Mar 2019 • Samuel P. Groth, Athanasios G. Polimeridis, Jacob K. White
In particular, we approximate the system matrix by a block-circulant circulant-block matrix which can be inverted rapidly using the FFT.
Computational Physics
no code implementations • 6 Feb 2019 • Ioannis P. Georgakis, Ilias I. Giannakopoulos, Mikhail S. Litsarev, Athanasios G. Polimeridis
A stable volume integral equation (VIE) solver based on polarization/magnetization currents is presented, for the accurate and efficient computation of the electromagnetic scattering from highly inhomogeneous and high contrast objects. We employ the Galerkin Method of Moments to discretize the formulation with discontinuous piecewise linear basis functions on uniform voxelized grids, allowing for the acceleration of the associated matrix-vector products in an iterative solver, with the help of FFT.
Numerical Analysis Computational Engineering, Finance, and Science
1 code implementation • 23 Mar 2017 • Alexandra Tambova, Mikhail Litsarev, Georgy Guryev, Athanasios G. Polimeridis
A set of fully numerical algorithms for evaluating the four-dimensional singular integrals arising from Galerkin surface integral equation methods over conforming quadrilateral meshes is presented.
Computational Physics
