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  • 1980-1984  (3)
  • 1
    Electronic Resource
    Electronic Resource
    A penalty method for the approximate solution of stationary Maxwell equations (1981)
    Springer
    Numerische Mathematik 36 (1981), S. 389-403 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65N 30 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The paper deals with nonconforming finite element methods for the approximate solution of the interior boundary value problem for Maxwell equations in the time-harmonic case. The methods are based on penalization in the boundary conditions of total reflexion. Qualitative convergence results are obtained by a-priori estimates which are proven in the first part of this paper. The main object is to establish estimates for the global discretization error in various norms of the underlying spaces of approximating vector fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01395954
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Interpolation of cosine operator functions (1984)
    Springer
    Annali di matematica pura ed applicata 136 (1984), S. 183-212 
    Details
    ISSN: 1618-1891
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Using basic techniques from the theory of interpolation spaces equivalence theorems are established for the intermediate spaces between a given Banach space A and the domain D(Λr) of the r-th power of the infinitesimal generator Λ of a strongly continuous cosine operator function C. The results are applied to the study of second order evolution equations including regularity, order reduction and approximation by finite difference methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01773383
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Crank-nicolsen-Galerkin approximation for Maxwell's equations (1982)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 4 (1982), S. 123-130 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: The Maxwell equations are formulated as an evolution equation in a suitable chosen Hilbert space involving a densely defined closed skew-Hermitian operator which generates a unitary group. A Crank-Nicolsen-Galerkin approximation is then established and convergence is shown by arguments from the theory of approximation of groups of operators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670040109
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    Paper (German National Licenses)
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