An efficient multigrid poisson solver for device simulations

Marco Saraniti, Achim Rein, Günther Zandler, Peter Vogl, Paolo Lugli

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The aim of this paper is to show that the multigrid approach can provide an efficient twodimensional Poisson solver used in the analysis of realistic semiconductor devices based on particle simulators. Our robust implementation of the multigrid method is faster by one or two orders of magnitudes than standard successive overrelaxation solvers and is capable, at the same time, of efficiently handling highly inhomogeneous grids and irregular boundary conditions relevant for realistic devices. All essential parts of the algorithm, such as coarsening, prolongation, restriction, and relaxation, have been adapted and optimized to deal with these complex geometries and large variations in the charge density. In particular, a new variant of the GaußSeideltype relaxation scheme is introduced that is particularly suited for grids that lack globally dominant directions. As an example, the multigrid Poisson solver has been applied to two different electronic devices, a GaAs High Electron Mobility Transistor and a Si Metal Oxide Semiconductor Field Effect Transistor.

Original languageEnglish
Pages (from-to)141150
Number of pages1
JournalIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Issue number2
StatePublished - 1996


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