An algebraic multigrid method with interpolation reproducing rigid body modes for semi-definite problems in two-dimensional linear elasticity
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Publication:869503
DOI10.1016/j.cam.2006.01.021zbMath1203.74152OpenAlexW2030450115MaRDI QIDQ869503
Ping Zhang, Shi Shu, Ying-Xiong Xiao
Publication date: 8 March 2007
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.021
Classical linear elasticity (74B05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
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- Iterative techniques for time dependent Stokes problems
- Elimination of rigid body modes from discretized boundary integral equations
- Energy optimization of algebraic multigrid bases
- A direct flexibility method
- Parallel solution techniques in computational structural mechanics
- Algebraic Schwarz methods for the numerical solution of Markov chains
- The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems
- On the algebraic multigrid method
- Algebraic Multigrid Based on Element Interpolation (AMGe)
- AMGE Based on Element Agglomeration
- Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG
- Balancing domain decomposition
- Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
- An Algebraic Theory for Multigrid Methods for Variational Problems
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Iterative Methods by Space Decomposition and Subspace Correction
- The construction of free–free flexibility matrices as generalized stiffness inverses
- An Algebraic Multigrid Method for Linear Elasticity
- A scalable Lagrange multiplier based domain decomposition method for time‐dependent problems
- A sharp convergence estimate for the method of subspace corrections for singular systems of equations
- Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid
- On the Solution of Singular and Semidefinite Linear Systems by Iteration
- Convergence of algebraic multigrid based on smoothed aggregation
- An integrated geometric-algebraic method for solving semi-definite problems in structural mechanics.
