Numerical source identification for Poisson equation

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review

2 Scopus Citations
View graph of relations

Author(s)

  • Takemi Shigeta
  • Yiu-Chung Hon

Related Research Unit(s)

Detail(s)

Original languageEnglish
Title of host publicationInverse Problems in Engineering Mechanics IV
PublisherElsevier Ltd.
Pages137-145
ISBN (Print)9780080442686
Publication statusPublished - Nov 2003

Abstract

A new numerical computational method is developed for identifying the unknown strengths at distinct sources from observed boundary data in 2D Poisson problem. The total number, positions, and shapes of the sources are assumed to be known. Under some conditions on the sources, the exact potential for the poisson problem can be analytically derived. The computational method is developed based on the use of radial basis functions and the method of the least squares. The method minimizes the differences between the observed boundary data and the boundary values of the exact potential and identifies the unknown strengths of the sources. Numerical results indicate that the proposed computational method is accurate and efficient. © 2003 Elsevier B.V. All rights reserved.

Citation Format(s)

Numerical source identification for Poisson equation. / Shigeta, Takemi; Hon, Yiu-Chung.
Inverse Problems in Engineering Mechanics IV. Elsevier Ltd., 2003. p. 137-145.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review