An improved time integration algorithm: a collocation time finite element approach

DOI10.1142/S0219455417500249MaRDI QIDQ6492855

Wooram Kim, J. N. Reddy

Publication date: 26 April 2024

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

zbMATH Keywords

dissipation controlgeneralized-\(\alpha\) methodimplicit time integration schemelinear and nonlinear structural dynamicsBaig and Bathe methodcomposite time integration scheme

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items (1)

Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods

Cites Work

• A new high-order accurate continuous Galerkin method for linear elastodynamics problems
• Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
• Least-squares finite element schemes in the time domain
• A unified set of single-step asymptotic annihilation algorithms for structural dynamics
• Evaluation of numerical integration methods in elastodynamics
• Solving initial value problems by differential quadrature method?part 1: first-order equations
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• An alpha modification of Newmark's method
• UNCONDITIONALLY STABLE HIGHER-ORDER ACCURATE HERMITIAN TIME FINITE ELEMENTS
• A general theory of finite elements. II. Applications
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