English

Multidomain spectral approach with Sommerfeld condition for the Maxwell equations

Numerical Analysis 2021-04-07 v2 Numerical Analysis

Abstract

We present a multidomain spectral approach with an exterior compactified domain for the Maxwell equations for monochromatic fields. The Sommerfeld radiation condition is imposed exactly at infinity being a finite point on the numerical grid. As an example, axisymmetric situations in spherical and prolate spheroidal coordinates are discussed.

Cite

@article{arxiv.2009.09865,
  title  = {Multidomain spectral approach with Sommerfeld condition for the Maxwell equations},
  author = {C Klein and N. Stoilov},
  journal= {arXiv preprint arXiv:2009.09865},
  year   = {2021}
}

Comments

Examples added

R2 v1 2026-06-23T18:41:23.786Z