Numerical Experiments for Multiscale Problems in Linear Elasticity

DOI10.1007/978-3-319-39929-4_13zbMath1388.74099OpenAlexW2341446564MaRDI QIDQ3179653

Assyr Abdulle, Orane Jecker

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/218144

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

An Optimization Based Coupling Method for Multiscale Problems ⋮ From image data towards microstructure information – Accuracy analysis at the digital core of materials ⋮ Finite element heterogeneous multiscale method for elastic waves in heterogeneous media ⋮ Convergence and error analysis of FE-HMM/FE\(^2\) for energetically consistent micro-coupling conditions in linear elastic solids

Cites Work

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• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales
• ANALYSIS OF A HETEROGENEOUS MULTISCALE FEM FOR PROBLEMS IN ELASTICITY
• Shape optimization by the homogenization method

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