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  • 1
    Electronic Resource
    Electronic Resource
    Regularization in 3D for anisotropic elastodynamic crack and obstacle problems (1993)
    Springer
    Journal of elasticity 31 (1993), S. 25-46 
    Details
    ISSN: 1573-2681
    Keywords: 45F15 ; 73D25 ; 73C30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract We propose, in this paper, a unified method of generating a regularized integral equation in the double layer potential approach for 3D anisotropic elastodynamics. Our regularization preserves the causality in the time-domain. The method is based on a special decomposition of the hypersingular kernel which appears in the integral representation of the stress tensor.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00041622
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Finite elements for exterior problems using integral equations (1987)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 7 (1987), S. 1229-1234 
    Details
    ISSN: 0271-2091
    Keywords: Finite element method ; Integral equations ; Coupling ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We present some integral methods for exterior problems for the Laplace equation. Then we give finite element approximations for these equations and some errors estimates. Finally, we indicate how these integral equations can be coupled with a usual finite element method on a bounded domain to solve an exterior non-linear problem which is linear far away.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650071106
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A new system of boundary integral equations for plates with free edges (1995)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 18 (1995), S. 755-772 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We present a new system of boundary integral equations for the free-edge plate. This system expresses an abstract symmetric variational problem posed on the boundary of the plate. In order to obtain this abstract problem, we must set the exterior boundary value problem corresponding to the free-edge plate in a framework of weighted Sobolev spaces. Finally, we take care of the hypersingular kernels appearing in our system of BIEs, by using an abstract technique of integration by parts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670181002
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    Paper (German National Licenses)
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  • 4
    Book
    Book
    Acoustic and electromagnetic equations : integral representations for harmonic problems; 144 (2001)
    New York u. a. :Springer,
    Details
    Title: Acoustic and electromagnetic equations : integral representations for harmonic problems; 144
    Author: Nedelec, Jean-Claude
    Publisher: New York u. a. :Springer,
    Year of publication: 2001
    Pages: 316 S.
    Series Statement: Applied mathematical sciences 144
    Type of Medium: Book
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