Partial homogenization of discrete models

DOI10.1080/00036810802378638zbMath1173.35334OpenAlexW2088055129WikidataQ58295425 ScholiaQ58295425MaRDI QIDQ3603831

M. Betoue Etoughe, Gregory P. Panasenko

Publication date: 19 February 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802378638

zbMATH Keywords

finite element methodquasicontinuum methodpartial asymptotic domain decompositionsemi-discrete modelsstrongly oscillating coefficients

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic expansions of solutions to PDEs (35C20) Finite difference methods for boundary value problems involving PDEs (65N06) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Asymptotic numerical analysis of the diffusion-discrete absorption equation ⋮ Partial asymptotic decomposition of the domain for the diffusion-discrete absorption equation

Cites Work

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• An adaptive finite element approach to atomic-scale mechanics. -- The quasicontinuum method
• Discrete homogenization in graphene sheet modeling
• Homogenization of Elliptic Difference Operators
• THE PARTIAL HOMOGENIZATION: CONTINUOUS AND SEMI-DISCRETIZED VERSIONS
• AVERAGING OF DIFFERENCE SCHEMES
• Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics
• An analysis of the quasicontinuum method

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