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On regional optimization of grid and relaxation parameter for finite difference solution of Poisson’s equation in reverse biased planar type p-n junctions. (English) Zbl 0703.65056
Authors’ summary: The optimization of grid structure and relaxation parameter is considered in connection with two-dimensional finite difference solution of Poisson’s equation for determining the field profile in a reverse biased planar type p-n junction. By dividing the planar junction into regions with rectangular and circular symmetry, regional optimizations are carried out using small area test sites. Having obtained the optimal grid size and relaxation parameter for each region, the complete solution is obtained easily with very fast convergences. The method involved in this kind of regional optimization is presented in detail with discussions on its comparative usefulness with other known techniques.
Reviewer: C.L.Koul

MSC:
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
65N15 Error bounds for boundary value problems involving PDEs
65N06 Finite difference methods for boundary value problems involving PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
78A55 Technical applications of optics and electromagnetic theory
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