Asymptotic expansions for high-contrast linear elasticity

Leonardo A. Poveda; Sebastian Huepo; Victor M. Calo; Juan Galvis

doi:10.1016/j.cam.2015.03.021

Asymptotic expansions for high-contrast linear elasticity

Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo, Juan Galvis

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.

Original language	English (US)
Pages (from-to)	25-34
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	295
DOIs	https://doi.org/10.1016/j.cam.2015.03.021
State	Published - Apr 11 2015

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2015.03.021

https://repository.kaust.edu.sa/bitstream/10754/566074/1/Articlefile1.pdf

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@article{c41bdcee26ca4a3f89197c4f59ad7fa3,

title = "Asymptotic expansions for high-contrast linear elasticity",

abstract = "We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.",

author = "Poveda, {Leonardo A.} and Sebastian Huepo and Calo, {Victor M.} and Juan Galvis",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2015",

month = apr,

day = "11",

doi = "10.1016/j.cam.2015.03.021",

language = "English (US)",

volume = "295",

pages = "25--34",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

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T1 - Asymptotic expansions for high-contrast linear elasticity

AU - Poveda, Leonardo A.

AU - Huepo, Sebastian

AU - Calo, Victor M.

AU - Galvis, Juan

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2015/4/11

Y1 - 2015/4/11

N2 - We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.

AB - We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.

UR - http://hdl.handle.net/10754/566074

UR - http://arxiv.org/pdf/1410.0299.pdf

UR - http://www.scopus.com/inward/record.url?scp=84960485960&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2015.03.021

DO - 10.1016/j.cam.2015.03.021

M3 - Article

SN - 0377-0427

VL - 295

SP - 25

EP - 34

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

Asymptotic expansions for high-contrast linear elasticity

Abstract

ASJC Scopus subject areas

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