Results 251 to 260 of about 14,155,825 (292)

A Finite Element Method for Random Differential Equations with Random Coefficients

SIAM Journal on Numerical Analysis, 1979
A finite element method is derived for solving equations of the following type \[ - (p(x)u'(x,\omega ))' + (q(x) + r(x)\lambda (\omega ))^2 u(x,\omega ) = f(x,\omega ),\quad 0 \leqq x \leqq l,\] with boundary conditions $u(0,\omega ) \equiv u(l,\omega ) \equiv 0$ where (i) $0 < p \in C^1 [0,l]$; (ii) $q,r \in C[0,l]$; (iii) $f(x,\omega ) = B'(x,\omega )
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Random Set Finite Element Method Application to Tunnelling

Proceedings of the 4th International Workshop on Reliable Engineering Computing Robust Design – Coping with Hazards, Risk and Uncertainty – REC 2010, 2010
A real tunnel project is used to demonstrate the validity of Random Set Finite Element Method (RS-FEM) framework in geomechanics where engineers have to face not only imprecise data but also lack of information at the beginning of the project. The objective of this paper is to illustrate the RS-FEM approach, which in the authors' view is an appealing ...
Schweige H. F., Nasekhian A.
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A finite element method for the statistics of non-linear random vibration

Journal of Sound and Vibration, 1985
Summary: The transitional probability density function for the random response of a certain class of nonlinear system satisfies the Fokker-Planck- Kolmogorov equation. This paper concerns the numerical solution of the stationary form of this equation, yielding the stationary probability density function of response.
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Application of the generalized multiscale finite element method in an inverse random source problem

Journal of Computational Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shubin Fu, Zhidong Zhang
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Finite element/difference methods in random vibration

Computers & Structures, 1986
Summary: Finite element and finite difference analyses of a class of random vibration problem are presented. The random field equations are discretized using the standard finite element/difference techniques. Recursive algorithms for the moments of the response in terms of the moments of the random loading and random initial condition are derived based
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Finite-element method for calculation of the effective permittivity of random inhomogeneous media

Physical Review E, 2005
The challenge of designing new solid-state materials from calculations performed with the help of computers applied to models of spatial randomness has attracted an increasing amount of interest in recent years. In particular, dispersions of particles in a host matrix are scientifically and technologically important for a variety of reasons. Herein, we
Viktor, Myroshnychenko, Christian, Brosseau   +1 more
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Edge finite element method for periodic structures using random meshes

Waves in Random and Complex Media, 2021
This paper introduces a new method to impose the periodic boundary conditions on the arbitrary mesh when we use the edge finite element method.
Ouail Ouchetto, Brahim Essakhi, Said Jai-Andaloussi, Saad Zaamoun   +3 more
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Efficient Implementation of Random Pressure Fields with the Finite Element Method

SAE Technical Paper Series, 1987
<div class="htmlview paragraph">An efficient technique is developed for use with the finite element method for the vibration prediction of structures subjected to random, spatially distributed excitation pressure fields. User input to the finite element code and computation time are minimized by taking advantage of reciprocity within the finite ...
Philip J. Hipol, Allan G. Piersol
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Probabilistic Settlement Analysis by Stochastic and Random Finite-Element Methods

Journal of Geotechnical and Geoenvironmental Engineering, 2009
The paper discusses finite element models for predicting the elastic settlement of a strip footing on a variable soil. The paper then goes on to compare results obtained in a probabilistic settlement analysis using a stochastic finite element method based on first order second moment approximations, with the random finite element method based on ...
D. V. Griffiths, Gordon A. Fenton
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The Random Finite Element Method (RFEM) in Settlement Analyses

2007
In order to control serviceability problems arising from excessive settlement of shallow footings, geotechnical design codes generally include specifications regarding maximum settlement which often govern the footing design. Once the footing has been designed and constructed, the actual settlement it experiences on a real three-dimensional soil mass ...
Gordon A. Fenton, D.V. Griffiths, W. Cavers   +2 more
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