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  • 1
    Electronic Resource
    Electronic Resource
    Progress on adaptive hp-finite element methods for the incompressible Navier-Stokes equations (1993)
    Springer
    Computational mechanics 11 (1993), S. 421-432 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper outlines recent results obtained in the development and application of hp-adaptive finite element methods to three-dimensional problems in incompressible viscous flow simulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00350097
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  • 2
    Electronic Resource
    Electronic Resource
    Finite element approximation of a two-point boundary-value problem in nonlinear elasticity (1977)
    Springer
    Journal of elasticity 7 (1977), S. 243-263 
    Details
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Résumé On considère ici l'approximation par éléments finis pour le problème à limite, non linéare, à une dimension, d'élasticité finie. Sous les conditions raisonnables sur la forme des équations constitutives, c'est montré que l'on peut obtenir les taux optimaux de convergence dansW 2 1. On établit un critère pour la monotonicité de l'opérateur constraint. D'ailleurs, on conduit aussiL p -estimations. Un exemple numérique qui confirme quelques des estimations théoriques est inclus comme résultat.
    Notes: Abstract In this paper finite element approximations of a one-dimensional nonlinear boundary-value problem in finite elasticity are considered. Under reasonable conditions on the form of the constitutive equations, it is shown that optimal rates of convergence can be obtained inW 2 1. A criterion for the monotonicity of the stress operator is established. In addition,L p -estimates are also derived. A numerical example is included in which results are obtained that confirm some of the theoretical estimates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00041072
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  • 3
    Electronic Resource
    Electronic Resource
    Existence and characterization of hydrostatic pressure in finite deformations of incompressible elastic bodies (1981)
    Springer
    Journal of elasticity 11 (1981), S. 341-357 
    Details
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00058078
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  • 4
    Electronic Resource
    Electronic Resource
    Adaptive finite element methods for high-speed compressible flows (1987)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 7 (1987), S. 1211-1228 
    Details
    ISSN: 0271-2091
    Keywords: Adaptive Methods ; Finite Elements ; Compressible Flow ; Turbomachinery ; 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 describe an adaptive finite element algorithm for solving the unsteady Euler equations. The finite element algorithm is based on a Taylor/Galerkin formulation and uses a very fast and efficient data structure to refine and unrefine the grid in order to optimize the approximation. We give a general version of the method which can be applied to moving grids with sliding interfaces and we present the results for a transient supersonic calculation of rotor-stator interaction.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650071105
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  • 5
    Electronic Resource
    Electronic Resource
    Finite element formulation of general electrothermoelasticity problems (1971)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 161-179 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper is concerned with the development of consistent discrete models, via the concept of finite elements, of linear and non-linear electrothermomechanical behaviour of continuous bodies. In the development, general energy balances are utilized to derive equations governing electromagnetic fields over an element and coupled equations of motion and heat conduction of a typical element of the continuum. These equations make it possible to study a general class of field problems involving arbitrary geometries and boundary conditions. Sample problems are included.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620030204
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  • 6
    Electronic Resource
    Electronic Resource
    A note on accuracy and convergence of finite element approximations (1971)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 291-292 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620030212
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  • 7
    Electronic Resource
    Electronic Resource
    On the calculation of consistent stress distributions in finite element approximations (1971)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 3 (1971), S. 317-325 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The theory of conjugate approximations1 is used to obtain consistent approximations of stress fields in finite element approximations based on displacement assumptions. These consistent stresses are continuous across interelement boundaries and involve less mean error than those computed by the conventional approach.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620030303
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  • 8
    Electronic Resource
    Electronic Resource
    Convergence, accuracy and stability of finite element approximations of a class of non-linear hyperbolic equations (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 6 (1973), S. 357-365 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Numerical stability criteria and rates of convergence are derived for finite element approximations of the non- linear wave equation utt-F(ux) = f(x, t), where F(ux) possesses properties generally encountered in non-linear elasticity. Piecewise linear finite element approximations in x and central difference approximations in t are studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620060307
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  • 9
    Electronic Resource
    Electronic Resource
    Finite element technique applied to heat conduction in solids with temperature dependent thermal conductivity (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 7 (1973), S. 345-355 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Consider a solid heat conductor with a non-linear constitutive equation for the heat flux. If the material is anisotropic and inhomogeneous, the heat conduction equation to be satisfied by the temperature field θ(x, t) is, \documentclass{article}\pagestyle{empty}\begin{document}$$ \rho c\frac{{\partial \theta }}{{\partial t}} = {\rm div}({\rm L}(\theta,{\rm x})[{\rm grad}\theta]) + q $$\end{document} Here L(θ, x) [grad θ] is a vector-valued function of θ, x, grad θ which is linear in grad θ, In the present paper, the application of the finite element method to the solution of this class of problems is demonstrated. General discrete models are developed which enable approximate solutions to be obtained for arbitrary three-dimensional regions and the following boundary and initial conditions: (a) prescribed surface temperature, (b) prescribed heat flux at the surface and (c) linear heat transfer at the surface. Numerical examples involve a homogeneous solid with a dimensionless temperature-diffusivity curve of the form κ = κ0(l + σT). The resulting system of non-linear differential equations is integrated numerically.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620070311
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  • 10
    Electronic Resource
    Electronic Resource
    Note on an approximate method for computing consistent conjugate stresses in elastic finite elements (1973)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 6 (1973), S. 55-61 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A technique is described wherein improved stresses can be computed in finite element models based on displacement approximations. The method is based on the idea of consistent stress approximations and it approximates such stresses using the notion of a domain of influence of the stress intensity at a nodal point. Considerable improvement in accuracy of the stresses is obtained with little difficulty.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620060107
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