TY - JOUR
T1 - The Method of Fundamental Solutions for the 3D Laplace Inverse Geometric Problem on an Annular Domain
AU - Sajjadmanesh, Mojtaba
AU - Aydi, Hassen
AU - Ameer, Eskandar
AU - Park, Choonkil
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/2
Y1 - 2022/2
N2 - 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.
AB - 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.
KW - Inverse geometric problem
KW - Laplace equation
KW - Least-square problem
KW - Method of fundamental solution
UR - http://www.scopus.com/inward/record.url?scp=85123794051&partnerID=8YFLogxK
U2 - 10.3390/fractalfract6020066
DO - 10.3390/fractalfract6020066
M3 - Article
AN - SCOPUS:85123794051
SN - 2504-3110
VL - 6
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 2
M1 - 66
ER -