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

Stochastic finite elements: A spectral approach Pol D. Spanos, Roger G. Ghanem ebook
ISBN: 0486428184, 9780486428185
Publisher: Dover
Format: djvu
Page: 233

Invariant Theory Lecture Notes in Mathematics F. This includes an extensive chapter on the finite element method. A couple of weeks ago, though, I started working with stochastic collocation for partial differential equations and there they were, Karhunen-Loève expansions. Stochastic Finite Elements: A Spectral Approach Author: Pol D. Spanos 2003 Dover Publications ISBN13:9780486428185;ISBN10:0486428184. 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. This is a reprint, with a brief new preface, of a 1991 book published by Springer-Verlag. In other words, spectral methods take on a global approach while finite element methods use a local approach. 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. The spectral stochastic approach SSA) and the Bayesian inference approach, for uncertainty quantification of inverse problems. Of the regularization parameter in Tikhonov regularization. Stochastic Finite Elements: A Spectral Approach Roger G. Part II studies two promising methodologies, i.e.