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  • 1
    Electronic Resource
    Electronic Resource
    Dual reciprocity boundary element analysis of transient advection-diffusion (2003)
    Bradford : Emerald
    International journal of numerical methods for heat & fluid flow 13 (2003), S. 633-646 
    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 paper presents an application of the dual reciprocity boundary element method (DRBEM) to transient advection-diffusion problems. Radial basis functions and augmented thin plate splines (TPS) have been used as coordinate functions in DRBEM approximation in addition to the ones previously used in the literature. Linear multistep methods have been used for time integration of differential algebraic boundary element system. Numerical results are presented for the standard test problem of advection-diffusion of a sharp front. Use of TPS yields the most accurate results. Further, considerable damping is seen in the results with one step backward difference method, whereas higher order methods produce perceptible numerical dispersion for advection-dominated problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/09615530310482481
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A boundary element formulation in linear piezoelectric problems (1980)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 31 (1980), S. 568-580 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Eine neue Randelement-Formulierung wird für piezoelektrische Probleme vorgeschlagen. Dabei wird eine elektrodynamische quasistatische Näherung angenommen. Das Gebiet, der Rand und der Zeitbereich werden in eine endliche Zahl von Rand-Volumen-Zeit-Elementen diskretisiert, und dann wird aus den beherrschenden Integralgleichungen eine Reihe linearer Gleichungen hergeleitet. Das Lösungsverfahren für die diskretisierten linearen Gleichungen, in denen der Verschiebungsvektor, das elektrische Potential und die zugehörigen Flüsse als Unbekannte eingehen, wird diskutiert.
    Notes: Abstract A new boundary element formulation is presented for linear piezoelectric problems under the assumption of electrodynamic quasi-static approximation. The domain, its boundary and the time region are fully discretized into a finite number of boundary-volume-time elements, and then a set of linear equations are derived from the governing integral equations. The solving scheme for the discretized linear equations in which the displacement vector, the electric potential and the corresponding fluxes are included as unknowns, is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01596157
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A boundary element formulation for natural convection problems (1988)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 8 (1988), S. 139-149 
    Details
    ISSN: 0271-2091
    Keywords: Integral equations ; Boundary elements ; Natural convection ; Penalty function ; Navier-Stokes equations ; 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: This paper presents a boundary element formulation employing a penalty function technique for two-dimensional steady thermal convection problems. By regarding the convective and buoyancy force terms in Navier-Stokes equations as body forces, the standard elastostatics analysis can be extended to solve the Navier-Stokes equations. In a similar manner, the standard potential analysis is extended to solve the energy transport equation. Finally, some numerical results are included, for typical natural convection problems, in order to demonstrate the efficiency of the present method.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650080203
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Boundary stress calculation using regularized boundary integral equation for displacement gradients (1993)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 36 (1993), S. 783-797 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Accurate computation of boundary stress components is important in stress-base shape optimization. The boundary element method usually gives us more accurate solutions of them compared with those obtained by the finite element method. In the present paper we propose a new approach to calculate the boundary stress components by using the regularized boundary integral equation relating the boundary displacement gradients to the tractions. Although the original integral equation must be evaluated in the sense of the Cauchy principal value, it can be regularized by subtracting and adding the displacement gradients at the source point from and to the original integral equation. When the displacement gradients satisfy the Hölder continuity at the source point, the regularized integral equation becomes non-singular and can be evaluated numerically by using the standard Gaussian quadrature formula. The numerical implementation of the proposed integral equation is presented and the effectiveness of the approach is also discussed through some numerical demonstrations.
    Additional Material: 18 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620360505
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    Paper (German National Licenses)
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