Preconditioning methods for very ill-conditioned three-dimensional linear elasticity problems

DOI<77::AID-NME493>3.0.CO;2-0 10.1002/(SICI)1097-0207(19990110)44:1<77::AID-NME493>3.0.CO;2-0zbMath0939.74065OpenAlexW2053981595MaRDI QIDQ4248810

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Publication date: 10 June 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990110)44:1<77::aid-nme493>3.0.co;2-0

zbMATH Keywords

structural analysisthree-dimensional linear elasticityhexahedral elementsconvergence of preconditioned systemManteuffel's method of perturbing stiffness matrixtriquadratic basis functions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Mixed constraint preconditioning in computational contact mechanics ⋮ Preconditioning Methods for the Penalty Function FEM Discretizations of 3D Nearly Incompressible Elasticity Problems ⋮ An algebraic multigrid method for isotropic linear elasticity problems on anisotropic meshes ⋮ Preconditioners in computational geomechanics: A survey

Cites Work

• Two-level hierarchically preconditioned conjugate gradient methods for solving linear elasticity finite element equations
• Conditioning analysis of positive definite matrices by approximate factorizations
• Towards a cost-effective ILU preconditioner with high level fill
• Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large and ill-conditioned problems
• A robust incomplete Choleski-conjugate gradient algorithm
• Modification of the minimum-degree algorithm by multiple elimination
• The hierarchical concept in finite element analysis
• Ordering Methods for Preconditioned Conjugate Gradient Methods Applied to Unstructured Grid Problems
• Partial Elimination
• Preconditioned conjugate gradient methods for three‐dimensional linear elasticity
• HIGH-PERFORMANCE PCG SOLVERS FOR FEM STRUCTURAL ANALYSIS
• ROBUST PRECONDITIONERS FOR LINEAR ELASTICITY FEM ANALYSES
• A robust incomplete factorization based on value and space constraints
• Coarse/fine mesh preconditioners for the iterative solution of finite element problems
• High‐performance multilevel iterative aggregation solver for large finite‐element structural analysis problems
• A coarse/fine preconditioner for very ill‐conditioned finite element problems

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