Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Vladimir S. Rabinovich
Abstract
We propose a new class of fundamental solutions for the numerical analysis of boundary value problems for the Maxwell equations. We prove completeness of systems of such fundamental solutions in appropriate Sobolev spaces on a smooth boundary and support the relevancy of our approach by numerical results.
Create a lesson
Related papers
Almost invariant subspaces in the topologically non-trivial setting: a pedestrian approach
Horia Cornean, Gabriele Peluso, Mikkel Hviid Thorn
Nested polynomial algebras and the exact spectrum of a three-dimensional two-spin oscillator
Ian Marquette, O. Ogulcan Tuncer, I. Yurdusen
Geometric bulk conductances in even dimensions
Alexis Drouot
Superintegrable systems in curved spaces via coalgebras and deformed Racah algebras
Samuel Jimenez-Swain, Ian Marquette, Yao-Zhong Zhang
Using the Renormalized Energy from Ginzburg-Landau Theory to Compute Solution Landscapes in the Reduced Landau-de Gennes Theory
Yucen Han, Apala Majumdar
The Fröhlich Polaron at large total momentum in d=3
Tobias Schmidt