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X-ray tomography of damage dynamics in advanced materials using a laser wakefield accelerator. [PDF]
Senthilkumaran V +11 more
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Practical Application of the Stochastic Finite Element Method [PDF]
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JOSÉ David Arregui-Mena +2 more
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Computational aspects of the stochastic finite element method [PDF]
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Oliver G Ernst, Elisabeth Ullmann
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A stochastic finite element method for real eigenvalue problems
Probabilistic Engineering Mechanics, 1991A stochastic finite element method (SFEM) based on local averages of a random vector field is developed for both distinct and repeated eigenvalues. Formulae for the variances and covariances of the eigenvalues and eigenvectors are derived. It is shown in a numerical example that, as the number of elements increases, solutions obtained from the present ...
W Q Zhu
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Gaussian process emulators for the stochastic finite element method [PDF]
This paper explores a method to reduce the computational cost of stochastic finite element codes. The method, known as Gaussian process emulation, consists of building a statistical approximation to the output of such codes based on few training runs ...
S Adhikari
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The stochastic finite-element method
Computers & Structures, 1980Abstract A generic stochastic finite-element method for modeling structures is proposed as a means to analyze and design structures in a probabilistic framework. Stochastic differential and difference equation theory is applied in structures discretized with the finite-element methodology.Transient structural loads, idealized as stochastic processes,
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Nonlinear Stochastic Finite Element Method
2022Considering the influence of random factors on the structure, three stochastic finite element methods for general nonlinear problems are proposed. They are Taylor expansion method, perturbation method and Neumann expansion method. The mean value of displacement is obtained by the tangent stiffness method or the initial stress method of nonlinear ...
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