A methodology for the generation of low-cost higher-order methods for linear dynamics

DOI10.1002/nme.637zbMath1031.65082OpenAlexW2151836939MaRDI QIDQ4434529

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Publication date: 10 November 2003

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.637

zbMATH Keywords

algorithmsstabilitycomparison of methodsnumerical examplesfinite elementPadé approximantscollocation methodssemidiscretizationstructural dynamicscontrollable dissipationhigher-order methodstime steppingNørsett approximants

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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A new exact, closed-form a priori global error estimator for second- and higher-order time-integration methods for linear elastodynamics ⋮ A simple and effective new family of time marching procedures for dynamics ⋮ Use of post-processing to increase the order of accuracy of the trapezoidal rule at time integration of linear elastodynamics problems ⋮ Explicit time-domain approaches based on numerical Green's functions computed by finite differences the ExGa family ⋮ A coupled lattice Boltzmann-finite element approach for two-dimensional fluid-structure interaction ⋮ A new high-order accurate continuous Galerkin method for linear elastodynamics problems ⋮ A novel family of explicit time marching techniques for structural dynamics and wave propagation models

Cites Work

• Solving Ordinary Differential Equations I
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