Numerical calculation of beams of charged particles by the method of iterations over subdomains
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1675-1688

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An algorithm for iterations over subregions is constructed for calculating non-relativistic two-dimensional electrostatic beams of space-charge limited charged particles. The emission current density is determined from the distribution of the electric-field strength at the “collector” using antiparaxial expansions, which describe the region near the emitter.
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     author = {V. M. Sveshnikov and V. A. Syrovoi},
     title = {Numerical calculation of beams of charged particles by the method of iterations over subdomains},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1675--1688},
     publisher = {mathdoc},
     volume = {30},
     number = {11},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a6/}
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V. M. Sveshnikov; V. A. Syrovoi. Numerical calculation of beams of charged particles by the method of iterations over subdomains. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1675-1688. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a6/