A Boundary Element Analysis of Space Charge Fields
This paper presents a boundary element analysis of space charge fields which are governed by the Poisson equation and the equation of current continuity. The equation of current continuity is solved by the method of characteristics (MOC), in which the charge density is calculated from the values of the electric field on characteristic lines. On the other hand, BEM is used to solve the Poisson equation because, in general, space charge problems include open boundaries. In MOC, in order to reduce computing times, the electric fields on characteristic lines are linearly interpolated in cells in solution region. The above mentioned solution procedure is carried out by turns until a self-consistent solution is obtained.
KeywordsSpace Charge Boundary Element Method Characteristic Line Solution Region Current Continuity
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