Higher-order generalized-\( \alpha\) methods for hyperbolic problems

DOI10.1016/J.CMA.2021.113725zbMath1506.65101arXiv1906.06081OpenAlexW2954689867WikidataQ115578457 ScholiaQ115578457MaRDI QIDQ2021860

Quanling Deng, Pouria Behnoudfar, Victor Manuel Calo

Publication date: 27 April 2021

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

Full work available at URL: https://arxiv.org/abs/1906.06081

zbMATH Keywords

stability analysishyperbolic equationspectrum analysisdissipation controlgeneralized-\( \alpha\) methodhigh-order time integration

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

Time discretization in the solution of parabolic PDEs with ANNs ⋮ High-order composite implicit time integration schemes based on rational approximations for elastodynamics ⋮ Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems ⋮ A Kronecker product linear-cost solver for the high-order generalized-\(\alpha\) method for multi-dimensional hyperbolic systems ⋮ RI-IGABEM based on generalized-\(\alpha\) method in 2D and 3D elastodynamic problems ⋮ Explicit high-order generalized-\(\alpha\) methods for isogeometric analysis of structural dynamics ⋮ High-order implicit time integration scheme based on Padé expansions ⋮ An explicit predictor/multicorrector time marching with automatic adaptivity for finite-strain elastodynamics

Uses Software

• RODAS

Cites Work

• Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
• A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
• Split generalized-\( \alpha\) method: a linear-cost solver for multi-dimensional second-order hyperbolic systems
• A NURBS-based finite element model applied to geometrically nonlinear elastodynamics using a corotational approach
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• An alpha modification of Newmark's method
• Solving Ordinary Differential Equations II
• Numerical Methods for Ordinary Differential Equations

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