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  • 1
    Electronic Resource
    Electronic Resource
    Numerical solutions of a viscous-hydrodynamic model for semiconductors: the supersonic case (2003)
    Bradford : Emerald
    Compel 22 (2003), S. 205-230 
    Details
    ISSN: 0332-1649
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Electrical Engineering, Measurement and Control Technology , Mathematics
    Notes: In this paper, we solve by a finite difference upwinded method an extended hydrodynamic model for semiconductors, with viscous terms in the momentum equation. In particular, we consider the simulation of a one-dimensional n+-n?-n+ diode, whose solution exhibits at low temperatures strong discontinuities, and investigate the effect of the momentum viscosity on the shock waves. Numerical experiments, performed also on a two-dimensional test case, demonstrate that the numerical scheme, working on non-uniform grids, is suitable to describe solutions with strong variations in time and space. Well-posedness for the boundary conditions is discussed, and a linear stability estimate is established for the one-dimensional n+-n?-n+ diode benchmark problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/03321640310459171
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  • 2
    Electronic Resource
    Electronic Resource
    Mixed finite volume methods for semiconductor device simulation (1997)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 13 (1997), S. 215-236 
    Details
    ISSN: 0749-159X
    Keywords: Mathematics and Statistics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We deal with the two-dimensional numerical solution of the Van Roosbroeck system, widely employed in modern semiconductor device simulation. Using the well-known Gummel's decoupled algorithm leads to the iterative solution of a nonlinear Poisson equation for the electric potential and two linearized continuity equations for the electron and hole current densities. The numerical approximation is based on the dual mixed formulation for a self-adjoint second-order elliptic operator by using the Raviart-Thomas (RT) finite elements of lowest degree on a triangular partition of the device domain. In this article, we propose a suitable variant of the RT method, based on the diagonalization of the element mass matrix. This is achieved by use of an appropriate numerical integration that eliminates the fluxes and gives rise to a cell-centered finite volume scheme for the scalar unknown with the same approximation properties of the mixed approach, but at a reduced computational cost. The above procedure suggests also a natural way to introduce in the frame of the classical Box Method (BM) suitable vector basis functions (edge elements) to represent the current field over each mesh triangle. This issue may be profitably employed both as a postprocessing tool, as well as a technique for solving the current continuity equations when source terms depending on the current itself are included in the mathematical model. Simulations of realistic semiconductor devices are then included to demonstrate the accuracy and stability of the new method. © 1997 John Wiley & Sons, Inc.
    Additional Material: 18 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Book
    Book
    Scientific computing with MATLAB /; 2 (2003)
    Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Paris ; Tokyo :Springer,
    Details
    Title: Scientific computing with MATLAB /; 2
    Author: Quarteroni, Alfio
    Contributer: Saleri, Fausto
    Edition: 1
    Publisher: Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Paris ; Tokyo :Springer,
    Year of publication: 2003
    Pages: IX, 257 S. : graph. Darst. ; 24 cm
    Series Statement: Texts in computational science and engineering 2
    ISBN: 3-540-44363-0
    Type of Medium: Book
    Language: English
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  • 4
    Book
    Book
    Scientific computing with MATLAB and Octave /; 2 (2010)
    Berlin [u.a.] :Springer,
    Details
    Title: Scientific computing with MATLAB and Octave /; 2
    Author: Quarteroni, Alfio
    Contributer: Saleri, Fausto , Gervasio, Paola
    Edition: 3. ed.
    Publisher: Berlin [u.a.] :Springer,
    Year of publication: 2010
    Pages: XVI, 360 S. : , graph. Darst. ; , 235 mm x 155 mm
    Series Statement: Texts in computational science and engineering 2
    ISBN: 978-3-642-12429-7 , 978-3-642-12430-3
    Type of Medium: Book
    Language: English
    URL: http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:pre05757721&format=complete
    URL: 01 Inhaltstext
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  • 5
    Book
    Book
    Numerische Mathematik /
    Berlin [u.a.] :Springer
    Details
    Title: Numerische Mathematik /
    Author: Quarteroni, Alfio
    Contributer: Sacco, Riccardo , Saleri, Fausto
    Uniform Title: Numerical mathematics 〈dt.〉
    Publisher: Berlin [u.a.] :Springer
    Series Statement: Springer-Lehrbuch
    Type of Medium: Book
    Language: German
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  • 6
    Book
    Book
    Solving numerical PDE's : problems, applications, exercises (2012)
    Milan :Springer,
    Details
    Title: Solving numerical PDE's : problems, applications, exercises
    Author: Formaggia, Luca
    Contributer: Saleri, Fausto , Veneziani, Alessandro
    Publisher: Milan :Springer,
    Year of publication: 2012
    Pages: VIII, 395 S.
    ISBN: 978-88-470-2411-3
    Type of Medium: Book
    Language: English
    URL: http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:pre05964156&format=complete
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  • 7
    Book
    Book
    Numerical mathematics; 37 (2000)
    New York u. a. :Springer,
    Details
    Title: Numerical mathematics; 37
    Author: Quarteroni, Alfio
    Contributer: Sacco, Riccardo , Saleri, Fausto
    Publisher: New York u. a. :Springer,
    Year of publication: 2000
    Pages: 654 S.
    Series Statement: Texts in applied mathematics 37
    Type of Medium: Book
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