Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Inverse problem – determining unknown distribution of charge density using the dual reciprocity method

Inverse problem – determining unknown distribution of charge density using the dual reciprocity... Presents the use of the dual reciprocity method (DRM) for solving inverse problems described by Poisson's equation. DRM provides a technique for taking the domain integrals associated with the inhomogeneous term to the boundary. For that reason, the DRM is supposed to be ideal for solving inverse problems. Solving inverse problems, a linear system is produced which is usually predetermined and ill‐posed. To solve that kind of problem, implements the Tikhonov algorithm and compares it with the analytical solution. In the end, tests the whole algorithm on different problems with analytical solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

Inverse problem – determining unknown distribution of charge density using the dual reciprocity method

Download PDF
6 pages

Loading next page...
 
/lp/emerald-publishing/inverse-problem-determining-unknown-distribution-of-charge-density-WijR09fMMf
Publisher
Emerald Publishing
Copyright
Copyright © 2004 Emerald Group Publishing Limited. All rights reserved.
ISSN
0332-1649
DOI
10.1108/03321640410540629
Publisher site
See Article on Publisher Site

Abstract

Presents the use of the dual reciprocity method (DRM) for solving inverse problems described by Poisson's equation. DRM provides a technique for taking the domain integrals associated with the inhomogeneous term to the boundary. For that reason, the DRM is supposed to be ideal for solving inverse problems. Solving inverse problems, a linear system is produced which is usually predetermined and ill‐posed. To solve that kind of problem, implements the Tikhonov algorithm and compares it with the analytical solution. In the end, tests the whole algorithm on different problems with analytical solutions.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing

Published: Sep 1, 2004

Keywords: Density measurement; Reciprocating engines; Algorithmic languages

References

  • The L‐curve and its use in the numerical treatment of inverse problems
    Hansen, P.C.
  • The use of the L‐curve in the regularization of discrete ill‐posed problems
    Hansen, P.C.; O'Leary, D.P.
  • The Dual Reciprocity Boundary Element Method
    Partridge, P.W.; Brebbia, C.A.; Wrobel, L.C.