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The Robin Hood method- A novel numerical method for electrostatic problems based on a non-local charge transfer (CROSBI ID 125177)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Lazić, Predrag ; Štefančić, Hrvoje ; Abraham, Hrvoje The Robin Hood method- A novel numerical method for electrostatic problems based on a non-local charge transfer // Journal of computational physics, 213 (2006), 117-140-x

Podaci o odgovornosti

Lazić, Predrag ; Štefančić, Hrvoje ; Abraham, Hrvoje

engleski

The Robin Hood method- A novel numerical method for electrostatic problems based on a non-local charge transfer

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 N&#945; , where &#945; < 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.

Electrostatics; Robin Hood; Non-local charge transfer; Equipotentiality; Critical Slowing Down; Real space DFT; Numerical methods

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Podaci o izdanju

213

2006.

117-140-x

objavljeno

0021-9991

Povezanost rada

Fizika

Indeksiranost