Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Edge distribution method for solving elliptic boundary value problems with boundary singularities.

James A Given1, Chi-Ok Hwang

  • 1Naval Research Laboratory, MS5720, 4555 Overlook Avenue, SW Washington, DC 20375, USA. JAGiven1370@yahoo.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
Summary

This study presents a fast, accurate method for solving elliptic boundary value problems near singularities using Monte Carlo diffusion. The approach effectively models electrical charge distribution on conductor edges and corners.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Walk-on-Hemispheres first-passage algorithm.

Scientific reports·2023
Same author

Six-state clock model on the square lattice: fisher zero approach with Wang-Landau sampling.

Physical review. E, Statistical, nonlinear, and soft matter physics·2009
Same author

Self-diffusion constants in silicon: ab initio calculations in combination with classical rate theory.

The Journal of chemical physics·2006
Same author

Last-passage Monte Carlo algorithm for mutual capacitance.

Physical review. E, Statistical, nonlinear, and soft matter physics·2006
Same author

Generalized ISAR--part I: an optimal method for imaging large naval vessels.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2005
Same author

Generalized ISAR--part II: interferometric techniques for three-dimensional location of scatterers.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2005

Area of Science:

  • Computational physics
  • Applied mathematics
  • Numerical analysis

Background:

  • Elliptic boundary value problems are challenging near boundary singularities like edges and corners.
  • Electrical charge concentration on conductor edges/corners exemplifies these difficult problems.

Purpose of the Study:

  • To develop a rapid and accurate method for solving elliptic boundary value problems with boundary singularities.
  • To accurately model electrical charge distribution near geometric discontinuities.

Main Methods:

  • Implementation of a Green's-function-based last-passage Monte Carlo diffusion method.
  • Integration with a diffusion algorithm for scaling Laplace equation solutions near corner singularities.

Main Results:

Related Experiment Videos

  • The method provides an accurate solution for charge distribution near the edge and corner of a conducting cube.
  • Demonstrates a computationally efficient approach for handling boundary singularities.

Conclusions:

  • The developed Green's-function-based Monte Carlo diffusion method offers an effective solution for problems involving boundary singularities.
  • This approach is applicable to accurately calculating charge distributions in complex geometries.