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“…The discretization of the energy-transport equations has already been studied in many papers: extensions of Scharfetter-Gummel schemes in [15], ENO schemes in [16], finite element schemes in [17,18], high-order compact difference schemes in [19]. In [20], we proposed a finite volume scheme for the 1-D energy-transport system.…”
Section: The Energy-transport Modelmentioning
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rupbmjkragerfmgwileyiopcupepmcmbcthiemesagefrontiersapsiucrarxivemeralduhksmucshluniversity-of-gavle
“…The discretization of the energy-transport equations has already been studied in many papers: extensions of Scharfetter-Gummel schemes in [15], ENO schemes in [16], finite element schemes in [17,18], high-order compact difference schemes in [19]. In [20], we proposed a finite volume scheme for the 1-D energy-transport system.…”
Section: The Energy-transport Modelmentioning
“…Depending on the conditions on the microscopic relaxation time, various energy-transport models can be derived [13]. Here we employ the model of [12], which is also used in the simulations of [24,25].…”
Section: Semiconductor Device Modelingmentioning
“…Mathematicians started to pay attention to these models in the 1990s, using essentially nonoscillatory schemes [26], finite-difference methods [17,39], mixed finite-volume schemes [8], or mixed finiteelement methods [24,25,28,35] (also see [11] for an overview).…”
Section: Semiconductor Device Modelingmentioning
“…Finally, the "symmetrized" equations can be numerically discretized by mixed finite elements [15,28]. We will numerically explore this idea for a higher-order moment model in a future paper.…”
Section: Drift-diffusion Formulationmentioning