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  • 1
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Computer Physics Communications 5 (1973), S. 437-455 
    ISSN: 0010-4655
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Computer Physics Communications 9 (1975), S. 193-204 
    ISSN: 0010-4655
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Computer Physics Communications 35 (1984), S. C-198-C-200 
    ISSN: 0010-4655
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Computer Physics Communications 35 (1984), S. C-302-C-303 
    ISSN: 0010-4655
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Computer Physics Communications 35 (1984), S. C-353-C-354 
    ISSN: 0010-4655
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Computer Physics Communications 10 (1975), S. 421-433 
    ISSN: 0010-4655
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical prospecting 20 (1972), S. 0 
    ISSN: 1365-2478
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences , Physics
    Notes: The finite element method, here viewed as a special case of the Galerkin projective method, is applied to the modelling of magnetotelluric problems, and its adaptation to geological profiles is outlined. A novel method for obtaining surface field values, involving matrix representation of the normal derivative operator, is presented in detail.Results obtained by this method are compared with well-known infinite series solutions for the vertical fault and the outcropping dyke. Two profiles containing sulphide zones are also modelled, the results being compared with field data; satisfactory agreement is obtained.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 63 (1988), S. 3025-3027 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A single finite element formulation using the magnetic (H) field vector directly is proposed for analysis of electromagnetic fields throughout the frequency spectrum. Results for waveguide and cavity analysis, as well as recent solutions to benchmark low-frequency eddy current examples such as the "Bath cube,'' demonstrate the flexibility of the formulation. Applying earlier finite element methods to vector Helmholtz or diffusion equation problems, various workers have obtained incorrect solutions because the eigenmode spectra of the discrete (finite element) operators for such problems may contain eigenvalues and eigenmodes which do not correspond to modes of the underlying continuum (physical) problem. Such "spurious'' modes have long been documented in high-frequency modal analysis. They are clearly identified as the cause for error in deterministic problems. Error is avoided by employing finite element operators whose spectra contain no spurious components. Application of the formulation may be limited by computer round-off at matrix assembly which affects solenoidality of magnetic fields in the solutions. Furthermore, the extreme values encountered in low-frequency eddy current analyses lead to ill conditioning and information loss and subsequent unreliability of the solution. These numerical instabilities may be overcome by parametric adjustment of permittivities, or by increased computer word length.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 57 (1985), S. 3853-3855 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Preisach hysteresis model is implemented into the finite element method. It is demonstrated that this model is well suited to a scalar potential representation of the field, a fact that has not been fully appreciated so far. Although this clearly eliminates the possibility of dealing exactly with problems involving eddy currents in hysteretic subregions, the computation of the magnetic field when both hysteretic and nonmagnetic current-carrying subregions are present simultaneously can be handled by adopting a hybrid formulation. This allows complete field solutions in reactor or transformer problems. Finally, it is shown how position-dependent remanent magnetization can be dealt with in a straightforward manner, without the need to use both volume and surface elements simultaneously, and without any assumption on the order of the interpolation polynomials for the potential. The method is also applicable to permanent magnet problems for which an accurate representation of the spatial dependence of remanent magnetization is important.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 57 (1985), S. 3856-3856 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Problems of electrostatics and magnetostatics are usually formulated such that fields and force densities are related by some differential operator to a potential. Because of the necessity of finding potentials numerically, and difficulties inherent in numerical differentiation, fields forces and other expressions involving derivatives of the potential are seldom determined accurately. For the case of a particle situated in a field whose potential is a harmonic function, Bui avoided this difficulty by considering an analytic expression for the potential in a neighborhood of a point, and relating expressions involving the derivatives of the potential at that point to the potential in a neighborhood by an integral operator. In this paper, Bui's approach is extended to fields whose potentials are harmonic functions or vectors fields whose components in Cartesian coordinates are harmonic functions. In this way, field and force density vectors as well as other expressions involving derivatives of the potential can be estimated from finite element approximations to the potential. The paper contains a derivation of the method from the Green's function for a sphere, the justification of the particular choice of integral operator among possible variants, and a discussion of the fortran programs used to implement the method.
    Type of Medium: Electronic Resource
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