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  • Articles  (2)
  • Other Sources
  • CR5.17  (1)
  • CR: 5.15  (1)
  • 1980-1984  (2)
  • 1981  (2)
  • Mathematics  (2)
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  • Articles  (2)
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  • 1980-1984  (2)
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  • Mathematics  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    On mixed finite element methods for first order elliptic systems (1981)
    Springer
    Numerische Mathematik 37 (1981), S. 29-48 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65N30 ; CR5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A physically based duality theory for first order elliptic systems is shown to be of central importance in connection with the Galerkin finite element solution of these systems. Using this theory in conjunction with a certain hypothesis concerning approximation spaces, optimal error estimates for Galerkin type approximations are demonstrated. An example of a grid which satisfies the hypothesis is given and numerical examples which illustrate the theory are provided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01396185
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Global approximate Newton methods (1981)
    Springer
    Numerische Mathematik 37 (1981), S. 279-295 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65H 10 ; CR: 5.15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We derive a class of globally and quadratically converging algorithms for a system of nonlinear equations,g(u)=0, whereg is a sufficiently smooth homeomorphism. Particular attention is directed to key parameters which control the iteration. Several examples are given that have been successful in solving the coupled nonlinear PDEs which arise in semiconductor device modelling.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01398257
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    Paper (German National Licenses)
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