Investigation of the interactions between the numerical and the modeling errors in the homogenized Dirichlet projection method

DOI10.1016/S0045-7825(98)80104-7zbMath0952.74072OpenAlexW2060268675MaRDI QIDQ1817833

Nicolas Moës, Tarek I. Zohdi, J. Tinsley Oden

Publication date: 11 January 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)80104-7

zbMATH Keywords

boundary value problemscomposite materialsfinite element approximationsadaptive strategynumerical errorsubdomain partitioncoarse meshesfine mesheshighly-heterogeneous elastic structureshomogenized Dirichlet projection method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Error bounds for boundary value problems involving PDEs (65N15) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (5)

A computational approach to handle complex microstructure geometries. ⋮ Constrained inverse formulations in random material design. ⋮ Hierarchical modeling of heterogeneous solids ⋮ Simplified methods and a posteriori error estimation for the homogenization of representative volume elements (RVE) ⋮ Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales

Cites Work

• Hierarchical modeling of heterogeneous bodies
• Analysis and adaptive modeling of highly heterogeneous elastic structures
• Error Estimate Procedure in the Finite Element Method and Applications
• Approximations in elasticity based on the concept of function space

This page was built for publication: Investigation of the interactions between the numerical and the modeling errors in the homogenized Dirichlet projection method