Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs

A class of second order, elliptic PDEs in divergence form with stochastic and anisotropic conductivity coefficients and n known, separated microscopic length scales εi, i = 1, …, n in a bounded domain D ⊂ ℝd is considered. Neither stationarity nor ergodicity of these coefficients is assumed. Suffici...

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Bibliographic Details
Main Authors: Schwab, Christoph., Hoang, Viet Ha.
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/98276
http://hdl.handle.net/10220/17848