Explicit high-order generalized-\(\alpha\) methods for isogeometric analysis of structural dynamics

DOI10.1016/j.cma.2021.114344OpenAlexW3130453921MaRDI QIDQ2072458

Gabriele Loli, Pouria Behnoudfar, Victor Manuel Calo, Giancarlo Sangalli, Alessandro Reali

Publication date: 26 January 2022

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

Full work available at URL: https://arxiv.org/abs/2102.11536

zbMATH Keywords

structural dynamicspreconditionerhyperbolicisogeometric analysisdissipation controlhigh-order explicit generalized-\(\alpha\) method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (4)

Time discretization in the solution of parabolic PDEs with ANNs ⋮ Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems ⋮ Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems ⋮ On the significance of basis interpolation for accurate lumped mass isogeometric formulation

Uses Software

• RODAS
• GeoPDEs

Cites Work

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• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Isogeometric Analysis
• Mathematical analysis of variational isogeometric methods
• An Introduction to Numerical Analysis
• Solving Ordinary Differential Equations II
• Numerical Methods for Ordinary Differential Equations
• A practical guide to splines.

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