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  • Engineering General  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Axisymmetric triangular finite elements for the scalar helmholtz equation (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 5 (1973), S. 481-497 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element method for solving Laplace's, Poisson's and Helmholtz's equations in the axisymmetric case is developed. Complete polynomial functions of arbitrarily high order are used as basis functions. Each triangular element is described by a matrix equation involving cotangents of the vertex angles, the vertex co-ordinates and the triangle area, as well as certain universal numeric matrices. The method of obtaining these matrices is given in detail. The matrices depend only on the polynomial order; values of all matrices to sixth order inclusive have been computed. Important properties of the matrices are discussed and simple example problems are presented.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620050405
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Triangular finite elements for the generalized Bessel equation of order m (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 7 (1973), S. 43-55 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new family of triangular finite elements is described, useful for solving the axisymmetric vector Helmholtz equation, and a variety of scalar Helmholtz equation problems which lead to generalized Bessel equations of some order m. This family is similar in principle to the scalar axisymmetric Helmholtz elements derived earlier, but requires both reformulation of its describing equations and corresponding new universal element matrices, for successful computational implementation. The necessary formulation is given in this paper. Matrix elements to the sixth-order inclusive have been calculated and extensively tested computationally.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620070104
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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