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Bibliographic record number: 313516

Journal

Authors: Lazić, Predrag; Štefančić, Hrvoje; Abraham, Hrvoje
Title: The Robin Hood method - A new view on differential equations
( The Robin Hood method - A new view on differential equations )
Source: Engineering analysis with boundary elements (0955-7997) 32 (2008), 1; 76-89
Paper type: article
Keywords: Robin Hood method; nonlocal charge transfer; electrostatics; equipotentiality
( Robin Hood method; nonlocal charge transfer; electrostatics; equipotentiality )
Abstract:
A novel, efficient and numerically cheap approach to problems in electrostatics is presented. The core principle of this approach, named the Robin Hood (RH) method, is achieving equipotentiality of the conducting surfaces by the iterative nonlocal charge transfer. At the fundamental level the RH method is significantly different approach from the current more standard approaches in boundary element methods or various approaches in finite difference methods the most prominent one being relaxation technique with multigrid implementation. The important elements of the implementation of the method, together with the relevant details, are described. The efficiency of the method is exemplified in a number of nontrivial and realistic configurations. The attractive technical characteristics of the RH method, such as linear scaling of the required computer memory with the number of elements, the geometrical convergence and absence of the critical slowing down, as well as the efficient parallelisation, are demonstrated. As an example of the overall performance of the RH method, the capacitance of the metal cube is calculated with the greatest accuracy up to date. A possible extension of the method to other problems beyond electrostatics is outlined.
Project / theme: 098-0352828-2863
Original language: eng
Citation databases: Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Category: Znanstveni
Research fields:
Physics
URL: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V2N-4PGH4BD-1-6P&_cdi=5707&_user=3875467&_orig=browse&_coverDate=01%2F31%2F2008&_sk=999679998&view=c&wchp=dGLzVlz-zSkzk&md5=cede7ebddcb9d7291d1ba1573804af49&ie=/sdarticle.pdf
URL cjelovitog rada:
Google Scholar: The Robin Hood method - A new view on differential equations
Contrib. to CROSBI by: Damir Šokčević (sokcevic@irb.hr), 7. Pro. 2007. u 17:15 sati



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