On the composite discontinuous Galerkin method for simulations of electric properties of semiconductor devices

Konrad Sakowski, Leszek Marcinkowski, Pawel Strak, Pawel Kempisty, Stanislaw Krukowski

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, a variant of the discretization of the van Roosbroeck equations in the equilibrium state with the composite discontinuous Galerkin method for the rectangular domain is discussed. It is based on the symmetric interior penalty Galerkin (SIPG) method. The proposed method accounts for lower regularity of the solution at the interfaces of the layers of the device. It is shown that the discrete problem is well defined and that the discrete solution is unique. Error estimates are derived. Finally, numerical simulations are presented.

Original languageEnglish
Pages (from-to)75-98
Number of pages24
JournalElectronic Transactions on Numerical Analysis
Volume51
DOIs
Publication statusPublished - 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis

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