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  • 1
    Electronic Resource
    Electronic Resource
    On the numerical analysis of the Von Karman equations: Mixed finite element approximation and continuation techniques (1982)
    Springer
    Numerische Mathematik 39 (1982), S. 371-404 
    Details
    ISSN: 0945-3245
    Keywords: AMS (MOS): 65 N 30 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The purpose of this paper is to study the approximation of the Von Karman equations by the mixed finite element scheme of Miyoshi and to follow the solutions arcs at a neighbourhood of the first eigenvalue of the linearized problem. This last problem is solved by a continuation method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01407870
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Further numerical methods for the Falkner-Skan equations: Shooting and continuation techniques (1984)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 4 (1984), S. 833-852 
    Details
    ISSN: 0271-2091
    Keywords: Falkner Skan ; Shooting Method ; Continuation Technique ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We consider in this paper the numerical solution of the Falkner-Skan differential equation, modelling under some similarity assumptions the boundary layer equation. We look for the extremal solution of this third order differential equation. The methods we use are basically the Newton method with a shooting process, which is coupled with a continuation method: they allow us to follow the solution arcs which contain regular and turning point solutions.
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650040904
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    Paper (German National Licenses)
    Fulltext
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