A reliable estimation method of a dipole for three-dimensional Poisson equation

We discuss an inverse source problem for three-dimensional Poisson equation. The source term is expressed as a dipole that consists of two contiguous point sources. Our problem is estimating the dipole moment and its location under the condition that the potential and flux can be observed on the bou...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational and applied mathematics 1998-08, Vol.95 (1), p.139-151
Main Authors: Yamatani, Katsu, Ohnaka, Kohzaburo
Format: Article
Language:English
Subjects:
Dipole
Exact sciences and technology
Inverse source problem
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, miscellaneous problems
Reliable estimation method
Sciences and techniques of general use
Three-dimensional Poisson equation
Weighted residual approach
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We discuss an inverse source problem for three-dimensional Poisson equation. The source term is expressed as a dipole that consists of two contiguous point sources. Our problem is estimating the dipole moment and its location under the condition that the potential and flux can be observed on the boundary. We propose a numerical method based on a weighted residual approach, which need not use direct analysis for the governing equation. The method should be reliable since the error caused by the numerical integration and observation noise can be evaluated theoretically. The effectiveness of the method is shown by numerical examples.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(98)00082-X