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- W4287668879 abstract "We present and analyze a new iterative solver for implicit discretizations of a simplified Boltzmann-Poisson system. The algorithm builds on recent work that incorporated a sweeping algorithm for the Vlasov-Poisson equations as part of nested inner-outer iterative solvers for the Boltzmann-Poisson equations. The new method eliminates the need for nesting and requires only one transport sweep per iteration. It arises as a new fixed-point formulation of the discretized system which we prove to be contractive for a given electric potential. We also derive an accelerator to improve the convergence rate for systems in the drift-diffusion regime. We numerically compare the efficiency of the new solver, with and without acceleration, with a recently developed nested iterative solver." @default.
- W4287668879 created "2022-07-25" @default.
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- W4287668879 date "2020-09-11" @default.
- W4287668879 modified "2023-09-23" @default.
- W4287668879 title "Analysis of a new implicit solver for a semiconductor model" @default.
- W4287668879 doi "https://doi.org/10.48550/arxiv.2009.05626" @default.
- W4287668879 hasPublicationYear "2020" @default.
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