Parallel multilevel solution of nonlinear shell structures

DOI10.1016/j.cma.2004.07.043zbMath1097.74057OpenAlexW2019861110MaRDI QIDQ817316

Ekkehard Ramm, Wolfgang A. Wall, Michael W. Gee

Publication date: 8 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cma.2004.07.043

zbMATH Keywords

preconditioningiterative solversscaled director conditioning

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Parallel numerical computation (65Y05)

Related Items

Large Deformation Fluid-Structure Interaction – Advances in ALE Methods and New Fixed Grid Approaches, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures, Selective mass scaling for distorted solid-shell elements in explicit dynamics: optimal scaling factor and stable time step estimate, Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis, A scaled thickness conditioning for solid- and solid-shell discretizations of thin-walled structures, Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures, An algebraic variational multiscale-multigrid method based on plain aggregation for convection-diffusion problems, Pseudo-transient continuation for nonlinear transient elasticity, Truly monolithic algebraic multigrid for fluid-structure interaction, Nonlinear localization strategies for domain decomposition methods: application to post-buckling analyses, Two-field formulations for isogeometric Reissner-Mindlin plates and shells with global and local condensation

Uses Software

• AztecOO
• Aztec

Cites Work

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• Nonlinear finite element analysis of shells. I. Three-dimensional shells
• Nonlinear finite element analysis of shells. II. Two-dimensional shells
• On a stress resultant geometrically exact shell model. IV: Variable thickness shells with through-the-thickness stretching
• Energy optimization of algebraic multigrid bases
• Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates
• On the physical significance of higher-order kinematic and static variables in a three-dimensional shell formulation
• Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
• A black-box iterative solver based on a two-level Schwarz method
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
• Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
• Domain Decomposition Algorithms with Small Overlap
• Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
• Generalized Aggregation Multilevel solver
• A class of mixed assumed strain methods and the method of incompatible modes
• Convergence of algebraic multigrid based on smoothed aggregation