Multiscale Coarsening for Linear Elasticity by Energy Minimization
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Publication:2847761
DOI10.1007/978-1-4614-7172-1_2zbMath1408.74014OpenAlexW2186959012MaRDI QIDQ2847761
Marco Buck, O. P. Iliev, Heiko Andrä
Publication date: 11 September 2013
Published in: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4614-7172-1_2
domain decompositionfinite element discretizationenergy-minimizing shape functionrobust coarse space
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65)
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Cites Work
- Unnamed Item
- Algebraic multigrid based on computational molecules. 1: Scalar elliptic problems
- Energy optimization of algebraic multigrid bases
- Algebraic domain decomposition solver for linear elasticity.
- On an energy minimizing basis for algebraic multigrid methods
- Multiscale finite element coarse spaces for the application to linear elasticity
- Domain decomposition for multiscale PDEs
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- Algebraic Multigrid Based on Element Interpolation (AMGe)
- AMGE Based on Element Agglomeration
- Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
- Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs
- General Constrained Energy Minimization Interpolation Mappings for AMG
- Improving algebraic multigrid interpolation operators for linear elasticity problems
- A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization
- Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge-matrices and two-level convergence
- A Family of Energy Minimizing Coarse Spaces for Overlapping Schwarz Preconditioners
- Multilevel Block Factorization Preconditioners
- Algebraic Multigrid Based on Computational Molecules, 2: Linear Elasticity Problems
- AMG by element agglomeration and constrained energy minimization interpolation
- Multiplicative Schwarz Methods for Parabolic Problems
- An Energy-minimizing Interpolation for Robust Multigrid Methods
- Two-grid Method for Linear Elasticity on Unstructured Meshes
- Robust Multilevel Methods for General Symmetric Positive Definite Operators
- Finite Elements
