Estimation of computational homogenization error by explicit residual method
From MaRDI portal
Publication:2013790
DOI10.1016/j.camwa.2013.09.019zbMath1368.65235OpenAlexW2073577862MaRDI QIDQ2013790
Publication date: 9 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2013.09.019
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (5)
Application of \(hp\)-adaptive finite element method to two-scale computation ⋮ An improved multiscale FEM for the free vibrations of heterogeneous solids ⋮ An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients ⋮ High order FEM for multigrid homogenization ⋮ The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method
Cites Work
- Unnamed Item
- An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures
- Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
- Electromagnetic properties of multiphase dielectrics. A primer on modeling, theory and computation
- An optimal Poincaré inequality for convex domains
- An introduction to computational micromechanics.
- A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator
- A domain decomposition method for bodies with heterogeneous microstructure based on material regularization
- Hierarchical modeling of heterogeneous bodies
- Analysis and adaptive modeling of highly heterogeneous elastic structures
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
- A fully automatic \(hp\)-adaptivity
- A review of a posteriori error estimation techniques for elasticity problems
- Estimation of modeling error in computational mechanics.
- Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
- Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
- Modelling error estimation and adaptive modelling of perforated materials
- Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization
- A‐posteriori error estimates for the finite element method
- Error estimates for some quasi-interpolation operators
- Multiscale enrichment based on partition of unity
- A method of substructuring large-scale computational micromechanical problems
- Estimation of local model error and goal-oriented adaptive modeling of heterogeneous materials. II: A computational environment for adaptive modeling of heterogeneous elastic solids
- Modeling error and adapticity in nonlinear continuum mechanics
This page was built for publication: Estimation of computational homogenization error by explicit residual method