TY - JOUR
T1 - On the composite discontinuous Galerkin method for simulations of electric properties of semiconductor devices∗
AU - Sakowski, Konrad
AU - Marcinkowski, Leszek
AU - Strak, Pawel
AU - Kempisty, Pawel
AU - Krukowski, Stanislaw
N1 - Funding Information:
The authors acknowledge the support of the National Science Centre, Poland by Grant No. DEC-2016/21/B/ST1/00350 and the support of the Polish National Agency for Academic Exchange.
Funding Information:
Acknowledgements. The authors acknowledge the support of the National Science Centre, Poland by Grant No. DEC-2016/21/B/ST1/00350 and the support of the Polish National Agency for Academic Exchange.
Publisher Copyright:
Copyright © 2019, Kent State University.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
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U2 - 10.1553/etna_vol51s75
DO - 10.1553/etna_vol51s75
M3 - Article
AN - SCOPUS:85065902583
SN - 1068-9613
VL - 51
SP - 75
EP - 98
JO - Electronic Transactions on Numerical Analysis
JF - Electronic Transactions on Numerical Analysis
ER -