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A robust meshless method with QR-decomposed radial basis functions

  • Dalhousie University
  • University of Electronic Science and Technology of China

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Ill-condition of the interpolation matrix has presented a hurdle for applying a node-based methless method to practical modeling and simulation of electromagnetic structures. In this paper, a robust meshless method is proposed that does not have the problem. It employs the QR method to decompose the Gaussian radial basis function; as a result, the matrix ill-condition that persists with a mesheless method with a small shape parameter is theoretically removed. In other words, unlike the conventional meshless method, the proposed method is insensitive to the shape parameters and can work well even when the radial basis functions becomes extremely flat.

Original languageEnglish
Title of host publication2015 IEEE MTT-S International Microwave Symposium, IMS 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479982752
DOIs
StatePublished - 24 Jul 2015
Externally publishedYes
EventIEEE MTT-S International Microwave Symposium, IMS 2015 - Phoenix, United States
Duration: 17 May 201522 May 2015

Publication series

Name2015 IEEE MTT-S International Microwave Symposium, IMS 2015

Conference

ConferenceIEEE MTT-S International Microwave Symposium, IMS 2015
Country/TerritoryUnited States
CityPhoenix
Period17/05/1522/05/15

Keywords

  • Meshless
  • QR-Decomposition
  • Radial basis function (RBF)

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