Multiscale finite element coarse spaces for the application to linear elasticity
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Publication:1945343
DOI10.2478/s11533-012-0166-8zbMath1352.74331OpenAlexW2078328989MaRDI QIDQ1945343
Heiko Andrä, Marco Buck, O. P. Iliev
Publication date: 8 April 2013
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s11533-012-0166-8
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) PDEs with low regular coefficients and/or low regular data (35R05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Algebraic multigrid based on computational molecules. 1: Scalar elliptic problems
- Robust algebraic multilevel methods and algorithms.
- Acceleration of convergence of a two-level algorithm by smoothing transfer operators
- Energy optimization of algebraic multigrid bases
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Algebraic domain decomposition solver for linear elasticity.
- On an energy minimizing basis for algebraic multigrid methods
- Fast multigrid solver
- Domain decomposition for multiscale PDEs
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
- Variational Multiscale Finite Element Method for Flows in Highly Porous Media
- Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs
- Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
- Improving algebraic multigrid interpolation operators for linear elasticity problems
- A new multiscale finite element method for high-contrast elliptic interface problems
- Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge-matrices and two-level convergence
- Multilevel Block Factorization Preconditioners
- Multiscale Finite Element Methods
- Robust domain decomposition algorithms for multiscale PDEs
- Algebraic Multigrid Based on Computational Molecules, 2: Linear Elasticity Problems
- Nonconforming Finite Element Methods for the Equations of Linear Elasticity
- Mixed and Hybrid Finite Element Methods
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- An Energy-minimizing Interpolation for Robust Multigrid Methods
- Two-grid Method for Linear Elasticity on Unstructured Meshes
- Finite Elemente
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