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  • 1
    Electronic Resource
    Electronic Resource
    Analysis of a combined barycentric finite volume—nonconforming finite element method for nonlinear convection-diffusion problems (1998)
    Springer
    Applications of mathematics 43 (1998), S. 263-310 
    Details
    ISSN: 1572-9109
    Keywords: nonlinear convection-diffusion problem ; barycentric finite volumes ; Crouzeix-Raviart nonconforming piecewise linear finite elements ; monotone finite volume scheme ; discrete maximum principle ; a priori estimates ; convergence of the method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We present the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Nonlinear convective terms are approximated with the aid of a monotone finite volume scheme considered over the finite volume barycentric mesh, whereas the diffusion term is discretized by piecewise linear nonconforming triangular finite elements. Under the assumption that the triangulations are of weakly acute type, with the aid of the discrete maximum principle, a priori estimates and some compactness arguments based on the use of the Fourier transform with respect to time, the convergence of the approximate solutions to the exact solution is proved, provided the mesh size tends to zero.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1023217905340
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems (1997)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 13 (1997), S. 163-190 
    Details
    ISSN: 0749-159X
    Keywords: Mathematics and Statistics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We present the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Nonlinear convective terms are approximated with the aid of a monotone finite volume scheme considered over the finite volume mesh dual to a triangular grid, whereas the diffusion term is discretized by piecewise linear conforming triangular elements. Under the assumption that the triangulations are of weakly acute type, with the aid of the discrete maximum principle, a priori estimates, and some compactness arguments based on the use of the Fourier transform with respect to time, the convergence of the approximate solutions to the exact solution is proved, provided that the mesh size tends to zero. © 1997 John Wiley & Sons, Inc.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 3
    Book
    Book
    Mathematical and computational methods for compressible flow / (2003)
    Oxford [u.a.] :Clarendon Press,
    Details
    Title: Mathematical and computational methods for compressible flow /
    Author: Feistauer, Miloslav
    Contributer: Felcman, Jiří , Straškraba, Ivan
    Publisher: Oxford [u.a.] :Clarendon Press,
    Year of publication: 2003
    Pages: XIII, 535 S. : , graph. Darst. ; , 24 cm
    Series Statement: Numerical mathematics and scientific computation
    ISBN: 0-19-850588-4
    Type of Medium: Book
    Language: English
    URL: lizenzfrei
    URL: lizenzfrei
    URL: lizenzfrei
    URL: 01  (lizenzfrei)
    URL: 04
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