English

Dual scattering channel schemes and transmission line methods

Numerical Analysis 2007-05-23 v2

Abstract

Dual scattering channel (DSC) schemes naturally extend the transmission line matrix (TLM) numerical method beyond the lines set up by P.B.JOHNS and coworkers. Conceptually, DSC schemes retain from TLM the typical formal splitting of the computed fields into incident and reflected components, interchanged and scattered between adjacent cells, without yet a need for transmission lines. They generally admit non trivial cell interface scattering and so release from a set of modeling limitations to that the classical TLM method is subject. The elements characterizing DSC schemes are outlined and illustrated by coupling within a non-orthogonal mesh a model of heat propagation to a lossy Maxwell field.

Cite

@article{arxiv.math/0406516,
  title  = {Dual scattering channel schemes and transmission line methods},
  author = {Steffen Hein},
  journal= {arXiv preprint arXiv:math/0406516},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T17:07:10.510Z