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  • 1
    Electronic Resource
    Electronic Resource
    The influence of a magnetic field on free convection in a finite vertical channel (1977)
    Springer
    Flow, turbulence and combustion 33 (1977), S. 459-469 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract An approximate analytical solution is presented for developing free convection flows of electrically conducting fluids between finite vertical channels which are subjected to a uniformly applied transverse magnetic field. Specifically, the basic approximation lies in the linearization of the governing boundary layer type of equations. It is demonstrated that the application of a transverse magnetic field reduces the induced flow rate in the channel and the heat transfer to the fluid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00411825
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical studies of steady, viscous incompressible flow in a quasi two-dimensional problem (1974)
    Springer
    Journal of engineering mathematics 8 (1974), S. 273-280 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary A quasi two-dimensional fluid flow problem, a channel with a cavity, is solved by finite-difference techniques. The numerical method used gives convergent results for all Reynolds numbers studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02353492
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Lateral squeezing of horizontally stratified viscous layers (1975)
    Springer
    Flow, turbulence and combustion 31 (1975), S. 241-252 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A fluid mechanics model for the slow deformations of layered geophysical materials is adopted. The problem consists of the slow viscous flow of two horizantally stratified fluid layers of different viscosities as being laterally squeezed between two frictionless planes. For solution a perturbation scheme is applied and the resulting approximation equations are solved numerically. The interface and free surface shapes, and the streamline patterns within the fluid layers are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00389217
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Load sensitivity analyses of elastic structures by differential and boundary integral equation formulations (1991)
    Springer
    Structural and multidisciplinary optimization 3 (1991), S. 240-246 
    Details
    ISSN: 1615-1488
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A direct unification of the boundary integral equations (BIE) of elasticity and load sensitivity analysis procedures is proposed in a novel approach. In the so-called BIE formulation, it is found that more than one type of adjoint functions are necessary, which are defined by different integral equations at complementary points of the structural boundary. The presence of double volume/surface integrals and the switching of the source and field points in the fundamental solutions are further interesting characteristics of the proposed formulation. An analytical example is solved by using the standard differential equation formulation, as well as the new BIE formulation of load sensitivity analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01744058
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Finite element methods for an optimal steady-state control problem (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 1375-1382 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An optimal steady-state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical solution. It is sated that, for minimum computational effort and high accuracy, ‘mixed’ finite elements requiring only C° continuity, and approximating the control and state functions simultaneously are better suited to similar ‘fourth order’ problems.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620120906
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Finite elements for an optimal control problem governed by a parabolic equation (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 624-628 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A stationary variational formulation of the necessary conditions for optimality is derived for an optimal control problem governed by a parabolic equation and mixed boundary conditions. Then a mixed finite element model with elements in space and time is utilized to solve a simple numerical example whose analytical and finite difference solutions are given elsewhere. Numerical results show that the proposed method with C° continuity elements constitutes a powerful numerical technique for solution of optimal control problems of distributed parameter systems.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620140413
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  • 7
    Electronic Resource
    Electronic Resource
    Shape design sensitivity analysis for non-linear anisotropic heat conducting solids and shape optimization by the BEM (1988)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 26 (1988), S. 109-120 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Shape design sensitivity analysis (SDSA) expressions have been derived for non-linear anisotropic heat conducting solid bodies by following the material derivative concept and adjoint variable method of optimal shape design given in the literature. The variation of a general integral functional has been described in terms of primary and adjoint quantities evaluated at the varying boundaries. As an example problem in shape optimization, optimal outer boundary profiles of an orthotropic solid body are obtained by the boundary element method (BEM), after reformulating the SDSA equations in a form which is most suitable for the BEM.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620260108
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Finite element and conjugate gradient methods for a nonlinear optimal heat transfer control problem (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1851-1863 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The boundary control problem of optimal heating of an infinitely long slab with tempertue-dependent thermal conductivity, subjected to a convection and radiation boundary condition, is analysed by numerical methods.In order to reformulate the optimal control problem of distributed parameter systems as a mathematical programming problem of finite dimension, a space, co-ordinate is discretized by use of the finite element method, while the Runge-Kutta method is utilized for time integrations. Finally, the performance index of the optimal control problem is minimized by the conjugate gradient method of optimization.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620141207
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    Boundary element methods for optimization of distributed parameter systems (1984)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1291-1306 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A numerical method of solution is proposed for optimization problems of distributed parameter systems. Two model problems from continuum mechanics are investigated by means of constructing the problems as the steady-state optimal control problems governed by elliptic partial differential equations.The basis of the suggested method of solution lies in the space discretization of the necessary conditions for optimality by the boundary element method, and the minimization of the performance indices by the conjugate gradient method of optimization.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620200709
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    Paper (German National Licenses)
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