The Method of Fundamental Solutions for the 3D Laplace Inverse Geometric Problem on an Annular Domain

Mojtaba Sajjadmanesh, Hassen Aydi*, Eskandar Ameer, Choonkil Park

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we are interested in an inverse geometric problem for the three-dimensional Laplace equation to recover an inner boundary of an annular domain. This work is based on the method of fundamental solutions (MFS) by imposing the boundary Cauchy data in a least-square sense and minimisation of the objective function. This approach can also be considered with noisy boundary Cauchy data. The simplicity and efficiency of this method is illustrated in several numerical examples.

Original languageEnglish
Article number66
JournalFractal and Fractional
Volume6
Issue number2
DOIs
Publication statusPublished - Feb 2022
Externally publishedYes

Keywords

  • Inverse geometric problem
  • Laplace equation
  • Least-square problem
  • Method of fundamental solution

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