A one-level FETI method for the drift–diffusion-Poisson system with discontinuities at an interface

Handle URI:
http://hdl.handle.net/10754/597364
Title:
A one-level FETI method for the drift–diffusion-Poisson system with discontinuities at an interface
Authors:
Baumgartner, Stefan; Heitzinger, Clemens
Abstract:
A 3d feti method for the drift-diffusion-Poisson system including discontinuities at a 2d interface is developed. The motivation for this work is to provide a parallel numerical algorithm for a system of PDEs that are the basic model equations for the simulation of semiconductor devices such as transistors and sensors. Moreover, discontinuities or jumps in the potential and its normal derivative at a 2d surface are included for the simulation of nanowire sensors based on a homogenized model. Using the feti method, these jump conditions can be included with the usual numerical properties and the original Farhat-Roux feti method is extended to the drift-diffusion-Poisson equations including discontinuities. We show two numerical examples. The first example verifies the correct implementation including the discontinuities on a 2d grid divided into eight subdomains. The second example is 3d and shows the application of the algorithm to the simulation of nanowire sensors with high aspect ratios. The Poisson-Boltzmann equation and the drift-diffusion-Poisson system with jump conditions are solved on a 3d grid with real-world boundary conditions. © 2013 Elsevier Inc..
Citation:
Baumgartner S, Heitzinger C (2013) A one-level FETI method for the drift–diffusion-Poisson system with discontinuities at an interface. Journal of Computational Physics 243: 74–86. Available: http://dx.doi.org/10.1016/j.jcp.2013.02.043.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
Issue Date:
Jun-2013
DOI:
10.1016/j.jcp.2013.02.043
Type:
Article
ISSN:
0021-9991
Sponsors:
The authors acknowledge support by the FWF (Austrian Science Fund) project No. P20871-N13 and by the WWTF (Viennese Science and Technology Fund) project No. MA09-028. This publication is based on work supported by Award No. KUK-I1- 007-43, funded by the King Abdullah University of Science and Technology (KAUST).
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Full metadata record

DC FieldValue Language
dc.contributor.authorBaumgartner, Stefanen
dc.contributor.authorHeitzinger, Clemensen
dc.date.accessioned2016-02-25T12:31:39Zen
dc.date.available2016-02-25T12:31:39Zen
dc.date.issued2013-06en
dc.identifier.citationBaumgartner S, Heitzinger C (2013) A one-level FETI method for the drift–diffusion-Poisson system with discontinuities at an interface. Journal of Computational Physics 243: 74–86. Available: http://dx.doi.org/10.1016/j.jcp.2013.02.043.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2013.02.043en
dc.identifier.urihttp://hdl.handle.net/10754/597364en
dc.description.abstractA 3d feti method for the drift-diffusion-Poisson system including discontinuities at a 2d interface is developed. The motivation for this work is to provide a parallel numerical algorithm for a system of PDEs that are the basic model equations for the simulation of semiconductor devices such as transistors and sensors. Moreover, discontinuities or jumps in the potential and its normal derivative at a 2d surface are included for the simulation of nanowire sensors based on a homogenized model. Using the feti method, these jump conditions can be included with the usual numerical properties and the original Farhat-Roux feti method is extended to the drift-diffusion-Poisson equations including discontinuities. We show two numerical examples. The first example verifies the correct implementation including the discontinuities on a 2d grid divided into eight subdomains. The second example is 3d and shows the application of the algorithm to the simulation of nanowire sensors with high aspect ratios. The Poisson-Boltzmann equation and the drift-diffusion-Poisson system with jump conditions are solved on a 3d grid with real-world boundary conditions. © 2013 Elsevier Inc..en
dc.description.sponsorshipThe authors acknowledge support by the FWF (Austrian Science Fund) project No. P20871-N13 and by the WWTF (Viennese Science and Technology Fund) project No. MA09-028. This publication is based on work supported by Award No. KUK-I1- 007-43, funded by the King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectDiscontinuitiesen
dc.subjectDrift-diffusion-Poisson systemen
dc.subjectFetien
dc.subjectNanowire sensorsen
dc.subjectParallelizationen
dc.subjectSemiconductor equationsen
dc.titleA one-level FETI method for the drift–diffusion-Poisson system with discontinuities at an interfaceen
dc.typeArticleen
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionUniversitat Wien, Vienna, Austriaen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
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