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  • 1995-1999  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Numerische Mathematik 72 (1996), S. 523-540 
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 73C50, 65K10, 65M50, 65N50, 49M07
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. A variational approach for the optimization of triangular or tetrahedral meshes is presented. Starting from some very basic assumptions we will rigorously demonstrate that the functional controlling optimality is of a certain type related to energy functionals in non linear elasticity. It will be proved that these functionals attain their minima over admissible sets of mesh deformations which respect boundary conditions. In addition the injectivity of the deformed mesh is discussed. Thereby it is possible to construct suitable meshes for various numerical applications.
    Type of Medium: Electronic Resource
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