High order FEM for multigrid homogenization
From MaRDI portal
Publication:2006446
DOI10.1016/j.camwa.2015.06.024zbMath1443.65317OpenAlexW1929869898MaRDI QIDQ2006446
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.06.024
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
An improved multiscale FEM for the free vibrations of heterogeneous solids ⋮ Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium ⋮ Higher order meshless schemes applied to the finite element method in elliptic problems ⋮ Very high order discontinuous Galerkin method in elliptic problems ⋮ The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method ⋮ An energetically consistent concurrent multiscale method for heterogeneous heat transfer and phase transition applications ⋮ Application of discontinuous Galerkin method to mechanical 2D problem with arbitrary polygonal and very high-order finite elements ⋮ A geometric full multigrid method and fourth-order compact scheme for the 3D Helmholtz equation on nonuniform grid discretization
Cites Work
- Unnamed Item
- Application of \(hp\)-adaptive finite element method to two-scale computation
- The heterogeneous multiscale methods
- Composite finite elements for elliptic boundary value problems with discontinuous coefficients
- Multiscale finite element methods for porous media flows and their applications
- An introduction to computational micromechanics.
- Numerical homogenization of hardened cement paste
- Numerical homogenization techniques applied to growth and remodelling phenomena
- Adaptive FEM analysis of selected elastic-visco-plastic problems
- The black box multigrid numerical homogenization algorithm
- A multiscale finite element method for elliptic problems in composite materials and porous media
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
- Computational micro-to-macro transitions of discretized microstructures undergoing small strains
- Estimation of computational homogenization error by explicit residual method
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
- The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- Application of h‐adaptive FEM and Zarka's approach to analysis of shakedown problems
- Multiscale enrichment based on partition of unity
- Homogenization and multigrid
