Numerical computation for inverse boundary determination problem

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • Y. C. Hon
  • Zongmin Wu

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)599-606
Journal / PublicationEngineering Analysis with Boundary Elements
Volume24
Issue number7-8
Publication statusPublished - Sept 2000

Abstract

Based on the idea of radial basis interpolation for Hermite-Birkhoff data and the shift invariability of harmonic function space, a new computational method is developed to determine an unknown boundary of a domain from given values of the solution and its derivatives on only a part of the other boundary. This is a well-known inverse boundary determination problem that arises from using non-destructive evaluation techniques in the engineering industry. Error estimation of the computational method is also given and the numerical results indicate that the method provides an accurate approximation of the unknown boundary.

Citation Format(s)

Numerical computation for inverse boundary determination problem. / Hon, Y. C.; Wu, Zongmin.
In: Engineering Analysis with Boundary Elements, Vol. 24, No. 7-8, 09.2000, p. 599-606.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review