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Boundary element method for analyzing flow through a random semiconfined aquifer (1992)

Xiang, Y. ; Satish, M. G. ; Jaeger, L. G.

Springer

Stochastic environmental research and risk assessment 6 (1992), S. 81-88

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ISSN: 1436-3259

Keywords: Helmholtz equation ; random parameter ; semiconfined aquifer ; groundwater flow ; boundary element method ; perturbation

Source: Springer Online Journal Archives 1860-2000

Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences

Notes: Abstract With the aid of perturbation technique a boundary element procedure is developed for solution of two-dimensional Helmholtz equation with a random parameter of small variability. The perturbation boundary element method does not require specification of probability density function of the parameter but only its mean and standard deviation. The method is used to analyze steady-state groundwater flows in a horizontal shallow semiconfined aquifer (homogeneous and isotropic) of probabilistic properties. To illustrate the applicability of the method, a simple numerical example is presented. As the nature of perturbation method suggests, the developed method is valid only when the perturbed value of the parameter is of a small order.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01591331

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Band-schemes vs. frontal-routines in nonlinear structural analysis (1980)

Agrawal, A. B. ; Mufti, A. A. ; Jaeger, L. G.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 15 (1980), S. 753-766

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: This paper evaluates the relative merits of the band-schemes over the frontal-routines in the solution of the linearized algebraic equations resulting from a nonlinear structural analysis. Through examples it is shown that the use of the former in the nonlinear analysis programs results in considerable savings in computer time. This is especially so when the structure under consideration is subject to dynamic loads due to earthquakes or simulated ground motions.

Additional Material: 4 Ill.