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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 120 (1982), S. 348-364 
    ISSN: 1420-9136
    Keywords: Numerical modelling ; VLF and VLF-R methods ; Harmonic electromagnetic field
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract In the paper, the mathematical tools, used for the modelling of the electromagnetic field of the harmonic plane wave in the two-dimensional inhomogeneous medium (the case ofE-polarization), are presented. Further, the resolving power of some parameters, that are measured in the VLF and VLF-R methods, is compared in the case of two vertical conductive dykes. To this aim, all the usual parameters of the VLF method and the most important parameter of the VLF-R method (ρα) have been chosen. Two groups of models that differ in resistivities have been considered. In each of the groups the distance of the dykes is variable. The parameters |H y|, which has shown most promising in this respect, is examined also from the point of view of the sensibility to geological noise. The results of the modelling are illustrated by two examples of the results of field measurements.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Applications of mathematics 44 (1999), S. 469-479 
    ISSN: 1572-9109
    Keywords: numerical modeling ; rigid particle ; viscous flow ; equations of motion ; elliptic integrals
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Modeling the movement of a rigid particle in viscous fluid is a problem physicists and smathematicians have tried to solve since the beginning of this century. A general model for an ellipsoidal particle was first published by Jeffery in the twenties. We exploit the fact that Jeffery was concerned with formulae which can be used to compute numerically the velocity field in the neighborhood of the particle during his derivation of equations of motion of the particle. This is our principal contribution to the subject. After a thorough check of Jeffery's formulae, we coded software for modeling the flow around a rigid particle based on these equations. Examples of its applications are given in conclusion. A practical example is concerned with the simulation of sigmoidal inclusion trails in porphyroblast.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Studia geophysica et geodaetica 20 (1976), S. 366-377 
    ISSN: 1573-1626
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics
    Notes: Summary Formulae for the magnetic field intensity of a harmonic line source are derived on the basis of an integral formulation of the induction law. This approach made it possible — in a natural way — to give a mathematically exact description of the line source, as well as all the field properties. The most complicated case when the line source lies on the boundary between two media is examined in detail. The resultant formulae have been derived with regard to the fact that they make the effective computation of the field values in the whole space possible.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 18 (1986), S. 823-843 
    ISSN: 1573-8868
    Keywords: multivariate analysis ; linear filtering ; Fourier transform ; soil survey ; geochemical exploration methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Geochemical data obtained during mineral exploration often are biased by systematic as well as random errors; these may result in failures when usual methods of evaluation are used. This is true particularly in soil surveys carried out in regions where a long history of prospecting and mining activity has occurred and/or where aerial chemical pollution is likely to have occurred. A satisfactory evaluation of geochemical data even in such an unfavorable case requires sampling on a relatively dense grid and utilization of all available knowledge of types of mineralization. The evaluation procedure proposed consists of five consecutive phases: (1). Dividing the area of interest into subareas of a relatively homogeneous geological nature. (2). Processing by multivariate methods (factor analysis, in particular) without consideration of geographic relations. (3). A preliminary interpretation and search for a geochemical explanation of factors. (4). Processing of individual factors in two-dimensional geographic space by directional and frequency linear filtering methods. (5). Final interpretation and construction of a geochemical model. The procedure is illustrated by an example from a geochemical exploration survey in the vicinity of Příbram (Middle Bohemia).
    Type of Medium: Electronic Resource
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  • 5
    Book
    Book
    Boca Raton, FL :Chapman & Hall/CRC,
    Title: Higher-order finite element methods /
    Author: Solin, Pavel
    Contributer: Segeth, Karel , Dolezel, Ivo
    Publisher: Boca Raton, FL :Chapman & Hall/CRC,
    Year of publication: 2003
    Pages: XX, 382 S.
    Series Statement: Studies in advanced mathematics
    ISBN: 1-584-88438-X
    Type of Medium: Book
    Language: English
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  • 6
    Unknown
    Boca Raton, FL : Chapman & Hall/CRC
    Studies in advanced mathematics  
    Keywords: Finite element method
    Pages: xx, 382 p.
    ISBN: 0-203-48804-0
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