Higher-order accurate explicit time schemes with improved dissipation properties

DOI10.1142/S0219455423501663zbMATH Open1537.74335MaRDI QIDQ6538329

Wooram Kim, Hyunggyu Choi, Seongjin Kwon

Publication date: 14 May 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

higher-order accuracynumerical dissipation controlexplicit direct time integration methodrotating nonlinear platetotal energy-conserving time scheme

Mathematics Subject Classification ID

Free motions for nonlinear problems in mechanics (70K25) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• A collocatedC⁰finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics
• Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
• A new family of explicit time integration methods for linear and non‐linear structural dynamics
• UNCONDITIONALLY STABLE HIGHER-ORDER ACCURATE HERMITIAN TIME FINITE ELEMENTS
• A Comparative Study of Two Families of Higher-Order Accurate Time Integration Algorithms
• A simple explicit single step time integration algorithm for structural dynamics
• On Runge-Kutta processes of high order
• Implicit Runge-Kutta Processes
• An introduction to nonlinear finite element analysis. With applications to heat transfer, fluid mechanics, and solid mechanics
• A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics
• An improved time integration algorithm: a collocation time finite element approach
• An accurate two-stage explicit time integration scheme for structural dynamics and various dynamic problems

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