Fast Multipole Method and Its Multilevel Implementation

Fast Multipole Method and Its Multilevel Implementation

For access to this article, please select a purchase option:

Buy chapter PDF
(plus tax if applicable)
Buy Knowledge Pack
10 chapters for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
Integral Equation Methods for Electromagnetics — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

As noted in the previous chapter, standard method of moments (MoM) implementations quickly reach the limits of computer time and memory resources. Even though better geometry modeling methods can enable solutions of the same problem using less computer resources, fast and low-memory solution methods must be employed in connection with iterative solvers to tackle electrically large real-life problems. In this chapter, we outline the FMM and its multilevel version. We will particularly focus on curvilinear elements and conformal basis functions.

Chapter Contents:

  • 7.1 Fast Multipole Method
  • 7.2 Multilevel Fast Multipole Method
  • 7.3 MLFMM Formulation
  • 7.4 Radiation and Scattering Examples
  • 7.5 MLFMM for Volume Integral Equations
  • Bibliography

Inspec keywords: electromagnetic field theory; method of moments; computational electromagnetics; iterative methods

Other keywords: curvilinear element; method of moments; fast multipole method; conformal basis function; geometry modeling method; iterative solver; MoM; FMM

Subjects: Electromagnetic waves: theory; Numerical approximation and analysis; Interpolation and function approximation (numerical analysis); Electric and magnetic fields

Preview this chapter:
Zoom in

Fast Multipole Method and Its Multilevel Implementation, Page 1 of 2

| /docserver/preview/fulltext/books/ew/sbew045e/SBEW045E_ch7-1.gif /docserver/preview/fulltext/books/ew/sbew045e/SBEW045E_ch7-2.gif

Related content

This is a required field
Please enter a valid email address