Numerical computation of a Cauchy problem for Laplace's equation

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

88 Scopus Citations
Scopus Metrics
View graph of relations

Author(s)

  • J. Cheng
  • Y. C. Hon
  • T. Wei
  • M. Yamamoto

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)665-674
Journal / PublicationZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume81
Issue number10
Publication statusPublished - 2001

Link(s)

Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-23044529471&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(b91e37c4-aeb3-46cc-a725-2c9c9696f76e).html

Abstract

This paper investigates the numerical computation of a Cauchy problem for Laplace's equation which is a typical ill-posed problem. By using Green's formula, the problem is transformed to a moment problem. For numerical computation of the moment problem, an error estimation and several numerical examples for verification are presented. Necessary and sufficient conditions for the existence of the solution of the Cauchy problems for Laplace's equation in two-dimension are also given. © Wiley-VCH Verlag Berlin GmbH, 2001.

Research Area(s)

  • Cauchy problem, Error estimation, Ill-posedness, Numerical computation

Fingerprint

Publication fingerprints text

100
Numerical Computati... Mathematics
100
Laplaces Equation Mathematics
100
Cauchy Problem for ... Keyphrases
100
calculation methods INIS
100
laplace equation INIS
100
cauchy problem INIS
66
Moment Problem Mathematics
33
Numerical Example Mathematics
33
Necessary and Suffi... Mathematics
33
Two Dimensions Mathematics
Full Fingerprint ›

Citation Format(s)

[ RIS ] [ BibTeX ]
Numerical computation of a Cauchy problem for Laplace's equation. / Cheng, J.; Hon, Y. C.; Wei, T. et al.
In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 81, No. 10, 2001, p. 665-674.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review