Numerical methods of solving extremal problems

Ilinskii, A. S.; Iskenderov, A. D.

doi:10.1016/0041-5553(82)90118-5

Cited by 27 publications

(2 citation statements)

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“…with boundary F1 =g( F2 (4) and initial rt=O = r0 v=0 = V0 , (5) conditions. Here accordingly , E -potential and an electric intensity, r, v, -radius-vector, velocity and the relation of a charge to mass of the charged particle, ro, vo -coordinates and velocity of a particle in the initial moment of time, j -current density, g(r) -known function, F1 , '2 -pieces of boundary F , and F1 U F2 = F , n -a normal to F2 , t -time, e -a dielectric constant.…”

Section: Statement Of Tile Problemmentioning

confidence: 99%

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<title>Calculation of the intensive charged particle beams with increased accuracy</title>

Sveshnikov

2004

SPIE Proceedings

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ABSTARCT Numerical algorithms of the intensive charged particle beams calculation with the increased accuracy, based on the nearcathode singularity isolation are suggested and realized by decomposition of the computational domain to the nearcathode and the basic subdomains. Calculations in nearcathode subdomam are carried out on a basis of the antiparaxial V.A. Syrovoy's theory, which provides adequate behavior of the solution. and in the basic subdomain the numerical algorithms are used. The examples ofnumerical test problems calculations are given.

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Section: Statement Of Tile Problemmentioning

confidence: 99%

“…The problem of the charged particle beams analysis in a mode of restriction of a current by a space charge is known 4 to have singularity near to the cathode of a kind , where r -distance from the current point up to the cathode.…”

Section: Introductionmentioning

confidence: 99%