Scalar Auxiliary Variable (SAV) Stabilization of Implicit‐Explicit (IMEX) Time Integration Schemes for Non‐Linear Structural Dynamics
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DOI: 10.1002/nme.7660
Abstract: Implicit‐explicit (IMEX) time integration schemes are well suited for non‐linear structural dynamics because of their low computational cost and high accuracy. However, the stability of IMEX schemes cannot be guaranteed for general non‐linear problems. In… read more here.
Keywords: non linear; sav; time integration; imex time ... See more keywords
Novel explicit time integration schemes for efficient transient analyses of structural problems
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DOI: 10.1016/j.ijmecsci.2020.105429
Abstract: Abstract In this study, four sets of novel and enhanced two-stage explicit time integration schemes are developed based on a unified set of unconventional approximations. For the development of explicit schemes, truncated Taylor’s series expansions… read more here.
Keywords: time integration; explicit time; algorithmic parameters; integration schemes ... See more keywords
Symplectic Integration Schemes for Systems With Nonlinear Dissipation
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DOI: 10.1109/tac.2023.3235908
Abstract: In previous work a variational integration scheme for mechanical systems containing linear dissipation was developed (Limebeer et al., 2020). The key idea is to use a transmission line as the solution to a power-balancing control… read more here.
Keywords: nonlinear dissipation; symplectic integration; integration schemes; integration ... See more keywords
A critical assessment of two-stage composite time integration schemes with a unified set of time approximations
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DOI: 10.1590/1679-78256470
Abstract: A SIMPLE UNIFIED SET OF DISPLACEMENT AND VELOCITY APPROXIMATIONS IS PRESENTED TO EXPRESS VARIOUS TWO-STAGE COMPOSITE TIME INTEGRATION SCHEMES. BASED ON THE UNIFIED APPROXIMATIONS, TWO NOVEL SETS OF OPTIMIZED PARAMETERS ARE NEWLY PROPOSED FOR THE… read more here.
Keywords: time; integration schemes; time integration; composite time ... See more keywords