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  • 1
    Electronic Resource
    Electronic Resource
    A new family of mixed finite elements in ℝ3 (1986)
    Springer
    Numerische Mathematik 50 (1986), S. 57-81 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65N30 ; CR: G1.8
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We introduce two families of mixed finite element on conforming inH(div) and one conforming inH(curl). These finite elements can be used to approximate the Stokes' system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389668
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  • 2
    Electronic Resource
    Electronic Resource
    Mixed finite elements in ℝ3 (1980)
    Springer
    Numerische Mathematik 35 (1980), S. 315-341 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS) ; 65N30 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We present here some new families of non conforming finite elements in ℝ3. These two families of finite elements, built on tetrahedrons or on cubes are respectively conforming in the spacesH(curl) andH(div). We give some applications of these elements for the approximation of Maxwell's equations and equations of elasticity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01396415
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Approximation numérique du cisaillement transverse dans les plaques minces en flexion (1986)
    Springer
    Numerische Mathematik 48 (1986), S. 281-302 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65 N 30 ; CR: G1.8
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary After a brief review of the main numerical methods for approximating the bending of plates, we discuss the difficulties met in the computation of the transverse shearing stress. Introducing mixed variational formulations, we propose several numerical schemes leading to a good approximation of this quantity. Finally, the opportunity of using such schemes is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389476
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Éléments finis mixtes incompressibles pour l'équation de Stokes dans ℝ3 (1982)
    Springer
    Numerische Mathematik 39 (1982), S. 97-112 
    Details
    ISSN: 0945-3245
    Keywords: AMS (MOS): 65N30 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We introduce some new families of finite element approximation for the stationary Stokes and Navier Stokes equations in a bounded domain in ℝ3. These elements can used tetahedrons or cubes. The approximation satisfie exactly the incompressibility condition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01399314
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Integral equations with non integrable kernels (1982)
    Springer
    Integral equations and operator theory 5 (1982), S. 562-572 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We study here some integral equations linked to the Laplace or the Helmholtz equation, or to the system of elasticity equations. These equations lead to non integrable kernels only defined as finite parts, so that they are quite difficult to approximate. In each case, we introduce a variational formulation which avoids this difficulty and allow us to use stable finite element approximations for these problems
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01694054
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Small chirality behaviour of solutions to electromagnetic scattering problems in chiral media (1998)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 21 (1998), S. 327-359 
    Details
    ISSN: 0170-4214
    Keywords: Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: The boundary integral equation method is used to prove the convergence of the Drude-Born-Fedorov equations with variable coefficients, possibly non-smooth, to Maxwell's equations as chirality admittance tends to zero. © 1998 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 7
    Electronic Resource
    Electronic Resource
    Sur l'Analyse Numérique des Equations de Hamilton-Jacobi-Bellman (1987)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 9 (1987), S. 198-209 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We show the convergence in the L∞ norm of the approximation by finite element of the Hamilton-Jacobi-Bellman equation.The proof uses the subsolution's method and the notion of discret regularity. Since the submission, the optimal result has been obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670090115
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    The effect of a thin inclusion of high rigidity in an elastic body (1980)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 2 (1980), S. 251-270 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We study an elastic body comprising an inclusion whose thickness is 2∊ and for which Lamé's constants are λ∊ and μ. We are interested in the limit behaviour of the inclusion, when ∊ → 0 and μ∊ → ∊; that is when the inclusion becomes thiner and more rigid. Different behaviours are possible, according to the rate at which μ∊ converges to infinity; the limit inclusion may “vanish” if it is not very rigid, but also it may be entirely solid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670020302
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    An integral equation of the first kind for a free boundary value problem of the stationary Stokes' equations (1987)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 9 (1987), S. 550-575 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We investigate a free boundary value problem of the stationary Stokes' equations. In a previous paper adapted hydrodynamical potentials have been constructed and their jump relations have been discussed. Here we study a direct method to obtain an equivalent boundary integral equations' system of the first kind. Its solution properties are investigated in the framework of strongly elliptic pseudodifferential operators. For numerical purposes a suitable representation formula for the variational equation is given in terms of integro-differential operators which avoids the evaluation of hypersingular integrals.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670090135
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  • 10
    Electronic Resource
    Electronic Resource
    Finite element solution for the transcritical shallow-water equations (1989)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 11 (1989), S. 503-524 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: A new solution of the two-dimensional shallow-water equations, using a finite element method is described. The formulation is based on the velocity and height variables and follows two steps. In the first step, the convective terms are solved by a characteristic method and in the second step the propagative and diffusion terms are taken into account. The close relation between the latter operator and a Stokes penalized problem is shown; an algorithm of Uzawa type is then used for its solution. Acceleration convergence is obtained by preconditioning, and new methods are presented, the quality of the convergence being shown on application to some sample tests. The overall method has revealed quite efficient and application to industrial cases is already planned.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670110407
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