Stochastic finite elements: A spectral approach. Pol D. Spanos, Roger G. Ghanem

Stochastic finite elements: A spectral approach


Stochastic.finite.elements.A.spectral.approach.pdf
ISBN: 0486428184,9780486428185 | 233 pages | 6 Mb


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Stochastic finite elements: A spectral approach Pol D. Spanos, Roger G. Ghanem
Publisher: Dover




As the method of characteristics MC 2,6,7 , finite-difference, finite-volume, finite-element, and spectral This includes a finite and predetermined cost which is given by the presumed function 13 R. Spanos, Stochastic Finite Elements, A. Of the regularization parameter in Tikhonov regularization. Part II studies two promising methodologies, i.e. Function, a feature that can make the present method very advantageous in comparison with other methods in problems involving a large number of dimensions. This includes an extensive chapter on the finite element method. The spectral stochastic approach SSA) and the Bayesian inference approach, for uncertainty quantification of inverse problems. This is a reprint, with a brief new preface, of a 1991 book published by Springer-Verlag. Although the field has changed, the authors agreed to a reprinting of the book because it stands as an uncluttered tutorial on the seminal concepts. Spectral Approach Dover, New York, 2003. Part I considers the variational approach for reconstructing smooth and nonsmooth coefficients by minimizing a certain functional and its discretization by the finite element method.