Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics

zbMath1171.65417MaRDI QIDQ836670

Dan Negrut, Laurent O. Jay

Publication date: 8 September 2009

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/130674

zbMATH Keywords

numerical experimentserror analysisdifferential-algebraic equationsvariable stepsizeHHT-\(\alpha\) methodHilbert-Hughes-Taylor-\(\alpha\) method

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (11)

On the numerical damping of time integrators for coupled mechatronic systems ⋮ Convergence of generalized-\(\alpha\) time integration for nonlinear systems with stiff potential forces ⋮ DAE Aspects of Multibody System Dynamics ⋮ A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics ⋮ Energy conservation and dissipation properties of time‐integration methods for nonsmooth elastodynamics with contact ⋮ Input optimization for flexible multibody systems using the adjoint variable method and the flexible natural coordinates formulation ⋮ A non-damped stabilization algorithm for multibody dynamics ⋮ Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems ⋮ A geometrically exact isogeometric beam for large displacements and contacts ⋮ Error analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systems ⋮ The Reverse Method of Lines in Flexible Multibody Dynamics

This page was built for publication: Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics