Asymptotic Analysis of Periodic Structures
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This article is published in Journal of Applied Mechanics.The article was published on 1979-06-01 and is currently open access. It has received 5038 citations till now. The article focuses on the topics: Asymptotic analysis.read more
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Dissertation
Mixed finite element methods for flow in porous media
TL;DR: Mixed nite element discretizations for problems arising in ow in porous medium applications are considered and an analysis of a mixed method on non-matching grids for the saturation equation of degenerate parabolic type is presented.
Journal ArticleDOI
Maximum likelihood drift estimation for multiscale diffusions
TL;DR: In this paper, the problem of parameter estimation using maximum likelihood for fast/slow systems of stochastic differential equations is studied, and it is shown that the maximum likelihood estimator is asymptotically unbiased for the averaging problem, whereas for the homogenization problem maximum likelihood fails unless we subsample the data at an appropriate rate.
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Cuttlebone: Characterisation, application and development of biomimetic materials
TL;DR: In this paper, a finite element-based homogenization method is used to verify that morphological variations within individual cuttlebone samples have minimal impact on the effective mechanical properties.
A Dynamically Bi-Orthogonal Method for Time-Dependent Stochastic Partial Differential Equations
TL;DR: Session MS3: Uncertainty Quantification for Hyperbolic and Kinetic Equations - Part I of II
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Reduced-Basis approach for homogenization beyond the periodic setting
TL;DR: The purpose of this work is to show how the reduced-basis approach allows one to speed up the computation of a large number of cell problems without any loss of precision.
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An Introduction To Probability Theory And Its Applications
TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
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Théorie des distributions
TL;DR: The merite as discussed by the authors is a date marque une date dans le progres des mathematiques and de la physique en levant l'ambiguite que constituait le succes des methodes de calcul symbolique aupres des physiciens and l'inacceptabilite de leurs formules au regard de la rigueur mathematiques.