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Bibliographic record number: 257077

Journal

Authors: Lazić, Predrag; Štefančić, Hrvoje; Abraham, Hrvoje
Title: The Robin Hood method- A novel numerical method for electrostatic problems based on a non-local charge transfer
( The Robin Hood method- A novel numerical method for electrostatic problems based on a non-local charge transfer )
Source: Journal of Computational Physics (0021-9991) 213 (2006); 117-140
Paper type: article
Keywords: Electrostatics; Robin Hood; Non-local charge transfer; Equipotentiality; Critical Slowing Down; Real space DFT; Numerical methods
( Electrostatics; Robin Hood; Non-local charge transfer; Equipotentiality; Critical Slowing Down; Real space DFT; Numerical methods )
Abstract:
We introduce a novel numerical method, named the Robin Hood method, of solving electrostatic problems. The approach of the method is closest to the boundary element methods, although significant conceptual differences exist with respect to this class of methods. The method achieves equipotentiality of conducting surfaces by iterative non-local charge transfer. For each of the conducting surfaces, non-local charge transfers are performed between surface elements, which differ the most from the targeted equipotentiality of the surface. The method is tested against analytical solutions and its wide range of application is demonstrated. The method has appealing technical characteristics. For the problem with N surface elements, the computational complexity of the method essentially scales with Nα , where α < 2, the required computer memory scales with N, while the error of the potential decreases exponentially with the number of iterations for many orders of magnitude of the error, without the presence of the Critical Slowing Down. The Robin Hood method could prove useful in other classical or even quantum problems. Some future development ideas for possible applications outside electrostatics are addressed.
Project / theme: 0098002, 0098001
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 cjelovitog rada:
Google Scholar: The Robin Hood method- A novel numerical method for electrostatic problems based on a non-local charge transfer



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