Thumbnail
Access Restriction
Subscribed

Author Pellegrini, Marco
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1998
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Boundary elements method ♦ Electrostatic field
Abstract The following problems that arise in the computation of electrostatic forces and in the Boundary Element Method are considered. Given two convex interior-disjoint polyhedra in 3-space endowed with a volume charge density which is a polynomial in the Cartesian coordinates of $\textit{R}3,$ compute the Coulomb force acting on them. Given two interior-disjoint polygons in 3-space endowed with a surface charge density which is polynomial in the Cartesian coordinates of $\textit{R}3,$ compute the normal component of the Coulomb force acting on them. For both problems adaptive Gaussian approximation algorithms are given, which, for $\textit{n}$ Gaussian points, in time $O(\textit{n}),$ achieve absolute error O<fen $lp="par">c^{-n}<rp$ post="par"> 1. Such a result improves upon previously known best asymptotic bounds. This result is achieved by blending techniques from integral geometry, computational geometry and numerical analysis. In particular, integral geometry is used in order to represent the forces as integrals whose kernal is free from singularities.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1998-11-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 45
Issue Number 6
Page Count 41
Starting Page 924
Ending Page 964


Open content in new tab

   Open content in new tab
Source: ACM Digital Library