An improved implicit method with dissipation control capability: the simple generalized composite time integration algorithm

DOI10.1016/j.apm.2020.01.043zbMath1481.70075OpenAlexW3001844546WikidataQ126314081 ScholiaQ126314081MaRDI QIDQ821745

Wooram Kim

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.01.043

zbMATH Keywords

structural dynamicsimplicit time integrationnonlinear pendulumBathe methodgeneralized composite time integration algorithmwave propagation and impact problems

Mathematics Subject Classification ID

Forced motions in linear vibration theory (70J35) Modal analysis in linear vibration theory (70J10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

A two-step time integration method with desirable stability for nonlinear structural dynamics, A hybrid self-adjustable explicit-explicit-implicit time marching formulation for wave propagation analyses, High-order composite implicit time integration schemes based on rational approximations for elastodynamics, Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework, Development of composite sub-step explicit dissipative algorithms with truly self-starting property, Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods, A Novel Family of Two-Stage Implicit Time Integration Schemes for Structural Dynamics, Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics, A dual-explicit model-based integration algorithm with higher-order accuracy for structural dynamics

Cites Work

• Unnamed Item
• Benchmark problems for wave propagation in elastic materials
• Isogeometric analysis for explicit elastodynamics using a dual-basis diagonal mass formulation
• Critical assessment of different mass lumping schemes for higher order serendipity finite elements
• A novel family of explicit time marching techniques for structural dynamics and wave propagation models
• An alternative to the Bathe algorithm
• A collocatedC⁰finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• 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
• A simple explicit single step time integration algorithm for structural dynamics
• Novel Superfluids