A novel sub-step explicit time integration method based on cubic B-spline interpolation for linear and nonlinear dynamics

DOI10.1016/J.CAMWA.2022.10.001OpenAlexW4306182257MaRDI QIDQ2107165

Tianhao Liu, Shengyu Duan, Weibin Wen

Publication date: 1 December 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.10.001

zbMATH Keywords

stabilitytime integrationstructural dynamicsnumerical dissipationexplicit

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods applied to problems in solid mechanics (74S20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element modeling of linear elastodynamics problems with explicit time-integration methods and linear elements with the reduced dispersion error
• Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
• Numerical damping of spurious oscillations: a comparison between the bulk viscosity method and the explicit dissipative Tchamwa-Wielgosz scheme
• An adaptive semi-explicit/explicit time marching technique for nonlinear dynamics
• A family of second-order fully explicit time integration schemes
• A novel time-marching formulation for wave propagation analysis: the adaptive hybrid explicit method
• An improved higher-order explicit time integration method with momentum corrector for linear and nonlinear dynamics
• A quartic B-spline based explicit time integration scheme for structural dynamics with controllable numerical dissipation
• Advances in Computational Dynamics of Particles, Materials and Structures
• An explicit time integration method for structural dynamics using septuple B-spline functions
• A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods
• A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
• Stability properties of some algorithms for the solution of nonlinear dynamic vibration equations
• A new family of explicit time integration methods for linear and non‐linear structural dynamics

This page was built for publication: A novel sub-step explicit time integration method based on cubic B-spline interpolation for linear and nonlinear dynamics