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2003-12-10Buch DOI: 10.18452/2574
Numerical Analysis of DAEs from Coupled Circuit and Semiconductor Simulation
dc.contributor.authorSoto, Monica Selva
dc.contributor.authorTischendorf, Caren
dc.date.accessioned2017-06-15T17:36:03Z
dc.date.available2017-06-15T17:36:03Z
dc.date.created2005-11-02
dc.date.issued2003-12-10
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3226
dc.description.abstractIn this work we are interested in the numerical solution of a coupled model of differential algebraic equations (DAEs) and partial differential equations (PDEs). The DAEs describe the behavior of an electrical circuit that contains semiconductor devices and the partial differential equations constitute drift-diffusion equations modeling the semiconductor devices in the circuit. After space discretization using a finite element method, the coupled system results in a differential-algebraic system with a properly stated leading term. We investigate the structure and the properties of this DAE system. In particular, we develop structural criteria for the DAE index. This is of basic interest since DAE properties like stability, existence and uniqueness of solutions depend strongly on its index.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectdifferential algebraic equationeng
dc.subjectpartial differential equationeng
dc.subjecttractability indexeng
dc.subjectmodified nodal analysiseng
dc.subjectdrift-diffusion equationseng
dc.subject.ddc510 Mathematik
dc.titleNumerical Analysis of DAEs from Coupled Circuit and Semiconductor Simulation
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10051982
dc.identifier.doihttp://dx.doi.org/10.18452/2574
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages21
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2004
local.edoc.container-issue1
local.edoc.container-year2004
local.edoc.container-erstkatid2075199-0

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