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  • 1
    Book
    Book
    Finite elements: ¬A¬ second course; Vol. 2 (1983)
    Englewood Cliffs, NJ :Prentice-Hall,
    Details
    Title: Finite elements: ¬A¬ second course; Vol. 2
    Author: Carey, Graham F.
    Contributer: Oden, J. Tinsley
    Publisher: Englewood Cliffs, NJ :Prentice-Hall,
    Year of publication: 1983
    Pages: 301 S.
    Series Statement: Texas finite element series Vol. 2
    Type of Medium: Book
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  • 2
    Book
    Book
    Finite elements: ¬An¬ introduction; Vol. 1 (1981)
    Englewood Cliffs, NJ :Prentice-Hall,
    Details
    Title: Finite elements: ¬An¬ introduction; Vol. 1
    Author: Becker, Eric B.
    Contributer: Carey, Graham F. , Oden, J. Tinsley
    Publisher: Englewood Cliffs, NJ :Prentice-Hall,
    Year of publication: 1981
    Pages: 258 S.
    Series Statement: Texas finite element series Vol. 1
    Type of Medium: Book
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  • 3
    Book
    Book
    Finite elements: Computational aspects; Vol. 3 (1984)
    Englewood Cliffs, NJ :Prentice-Hall,
    Details
    Title: Finite elements: Computational aspects; Vol. 3
    Author: Carey, Graham F.
    Contributer: Oden, J. Tinsley
    Publisher: Englewood Cliffs, NJ :Prentice-Hall,
    Year of publication: 1984
    Pages: 350 S.
    Series Statement: Texas finite element series Vol. 3
    Type of Medium: Book
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  • 4
    Book
    Book
    Finite elements: Mathematical aspects; Vol. 4 (1983)
    Englewood Cliffs, NJ :Prentice-Hall,
    Details
    Title: Finite elements: Mathematical aspects; Vol. 4
    Author: Oden, J. Tinsley
    Contributer: Carey, Graham F.
    Publisher: Englewood Cliffs, NJ :Prentice-Hall,
    Year of publication: 1983
    Pages: 195 S.
    Series Statement: Texas finite element series Vol. 4
    Type of Medium: Book
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  • 5
    Book
    Book
    Finite elements: Special problems in solid mechanics; Vol. 5 (1984)
    Englewood Cliffs, NJ :Prentice-Hall,
    Details
    Title: Finite elements: Special problems in solid mechanics; Vol. 5
    Author: Oden, J. Tinsley
    Contributer: Carey, Graham F.
    Publisher: Englewood Cliffs, NJ :Prentice-Hall,
    Year of publication: 1984
    Pages: 273 S.
    Series Statement: Texas finite element series Vol. 5
    Type of Medium: Book
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  • 6
    Book
    Book
    Computational grids : generation, adaption and solution strategies (1997)
    Washington, DC [u.a.] :Taylor & Francis,
    Details
    Title: Computational grids : generation, adaption and solution strategies
    Author: Carey, Graham F.
    Publisher: Washington, DC [u.a.] :Taylor & Francis,
    Year of publication: 1997
    Pages: XIII, 496 S. : graph. Darst.
    Series Statement: Series in computational and physical processes in mechanics and thermal sciences
    ISBN: 1-56032-635-2
    Type of Medium: Book
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  • 7
    Electronic Resource
    Electronic Resource
    Stochastic perturbation-based finite element approach to fluid flow problems (2005)
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 15 (2005), S. 671-697 
    Details
    ISSN: 0961-5539
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Purpose - To generalize the traditional 2nd order stochastic perturbation technique for input random variables and fields and to demonstrate for flow problems. Design/methodology/approach - The methodology is based on an n-th order expansion (perturbation) for input random parameters and state functions around their expected value to recover probabilistic moments of the response. A finite element formulation permits stochastic simulations on irregular meshes for practical applications. Findings - The methodology permits approximation of expected values and covariances of quantities such as the fluid pressure and flow velocity using both symbolic and discrete FEM computations. It is applied to inviscid irrotational flow, Poiseulle flow and viscous Couette flow with randomly perturbed boundary conditions, channel height and fluid viscosity to illustrate the scheme. Research limitations/implications - The focus of the present work is on the basic concepts as a foundation for extension to engineering applications. The formulation for the viscous incompressible problem can be implemented by extending a 3D viscous primitive variable finite element code as outlined in the paper. For the case where the physical parameters are temperature dependent this will necessitate solution of highly non-linear stochastic differential equations. Practical implications - Techniques presented here provide an efficient approach for numerical analyses of heat transfer and fluid flow problems, where input design parameters and/or physical quantities may have small random fluctuations. Such an analysis provides a basis for stochastic computational reliability analysis. Originality/value - The mathematical formulation and computational implementation of the generalized perturbation-based stochastic finite element method (SFEM) is the main contribution of the paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/09615530510613870
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  • 8
    Electronic Resource
    Electronic Resource
    Linear feedback control for convection-diffusion (2003)
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 13 (2003), S. 365-382 
    Details
    ISSN: 0961-5539
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This study is concerned with linear feedback control in finite element modeling of transient convection-diffusion in an incompressible fluid. Our aim is to introduce a linear feedback that solves the corresponding tracking problem for any sufficiently smooth target temperature field. The control aspects are discussed and we summarize convergence results. Numerical results for a test problem are included to illustrate the approach.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/09615530310464544
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  • 9
    Electronic Resource
    Electronic Resource
    A Least-Squares Mixed Scheme for the Simulation of Two-Phase Flow in Porous Media on Unstructured Grids (1998)
    Springer
    Transport in porous media 32 (1998), S. 75-95 
    Details
    ISSN: 1573-1634
    Keywords: least squares ; finite elements ; adaptive mesh ; conjugate-gradient scheme
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract A least-squares mixed formulation is developed for simulation of two-phase flow in porous media. Such problems arise in petroleum applications and ground-water flow. An adaptive strategy based on the element residual as an error indicator is developed in conjunction with unstructured remeshing and tested for the two-phase flow of oil and water. An element-by-element conjugate-gradient scheme (EBE-CG) is compared to a band solution algorithm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006551816131
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  • 10
    Electronic Resource
    Electronic Resource
    A stable least-squares finite element method for non-linear hyperbolic problems (1988)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 8 (1988), S. 933-942 
    Details
    ISSN: 0271-2091
    Keywords: Least squares ; Finite elements ; Non-linear ; Hyperbolic ; 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: A class of stable least-square finite element methods for non-linear hyperbolic problems is developed and some exploratory studies made. The methods are based on modifying the L2-norm of the. residual and a related approximation to the H1-norm of the residual. The effect of the additional terms in these residual functionals is to introduce a dissipative effect proportional to the solution gradient. This acts to stabilize the solution for non-linear hyperbolic problems which generate shocks. Numerical results for a one-dimensional nozzle and shock tube problem demonstrate the accuracy and stability of the method. Results are for an implicit scheme and calculations for linear, quadratic and cubic elements are given.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650080805
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