Iterative methods for \(p\)-version finite elements: Preconditioning thin solids

DOI10.1016/0045-7825(95)00943-4zbMath0891.73065OpenAlexW2149724088MaRDI QIDQ1371906

Jan Mandel

Publication date: 13 November 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00943-4

zbMATH Keywords

28 ply laminated fiber plateadaptive preconditionermicrostructure of composite materialssking of aircraft

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Membranes (74K15)

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Cites Work

• Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature
• A domain decomposition algorithm for elliptic problems in three dimensions
• Spectral element multigrid. I: Formulation and numerical results
• Iterative solvers by substructuring for the \(p\)-version finite element method
• Domain decomposition preconditioning for \(p\)-version finite elements with high aspect ratios
• The problem of membrane locking in finite element analysis of cylindrical shells
• Additive Schwarz methods for the \(p\)-version finite element method
• Multilevel solution method for the \(p\)-version of finite elements
• An iterative solver for \(p\)-version finite elements in three dimensions
• On the spectra of sums of orthogonal projections with applications to parallel computing
• Two-level domain decomposition preconditioning for thep-version finite element method in three dimensions
• The problem of selecting the shape functions for ap-type finite element
• Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
• Optimal Multilevel Iterative Methods for Adaptive Grids
• Adaptive solution strategy for solving large systems ofp-type finite element equations
• Iterative Methods by Space Decomposition and Subspace Correction
• Domain Decomposition Algorithms with Small Overlap
• Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Methods of conjugate gradients for solving linear systems
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