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20102025
most citedInterior error estimate for periodic homogenization

119 citations · 303 across the 16 of their papers we have counts for

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math.NA2013

Error estimates in periodic homogenization with a non-homogeneous Dirichlet condition

Georges Griso

In this paper we investigate the homogenization problem with a non-homogeneous Dirichlet condition. Our aim is to give error estimates with boundary data in . T…

math.NA2012

Junction between a plate and a rod of comparable thickness in nonlinear elasticity. Part II

Dominique Blanchard, Georges Griso

We analyze the asymptotic behavior of a junction problem between a plate and a perpendicular rod made of a nonlinear elastic material. The two parts of this multi-structure have sm…

math.NA2011★ 29 cited

Decomposition of deformations of thin rods. Application to nonlinear elasticity

Dominique Blanchard, Georges Griso

This paper deals with the introduction of a decomposition of the deformations of curved thin beams, with section of order , which takes into account the specific geometry of suc…

math.NA2011★ 119 cited

Interior error estimate for periodic homogenization

Georges Griso

In a previous article about the homogenization of the classical problem of diff usion in a bounded domain with su ciently smooth boundary we proved that the error is of order $ε^{1…

math.NA2011★ 33 cited

Asymptotic behavior of structures made of curved rods

Georges Griso

In this paper we study the asymptotic behavior of a structure made of curved rods of thickness 2δwhen δrightarrow 0. This study is carried on within the frame of linear elasticity…

math.NA2011★ 77 cited

Error estimate and unfolding for periodic homogenization

Georges Griso

This paper deals with the error estimate in problems of periodic homogenization. The methods used are those of the periodic unfolding. We give the upper bound of the distance betwe…