Multi-time-step explicit–implicit method for non-linear structural dynamics

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A bridging domain method for coupling continua with molecular dynamics (2004, unknown): “This algorithm is based on [24,25].”
Improvement of reduction method combined with sub‐domain scheme in large‐scale problem (2007, methodology): “Gravouil and Combescure [37] presented the method with domain decomposition to solve the non-linear dynamic problem.”
Model Order Reduction and domain decomposition strategies for the solution of the dynamic elastic–plastic structural problem (2015, unknown): “2, due to the adopted explicit time integration scheme featuring a smaller time step size ∆ t ex p , according to the interpolation proposed in [18,19], the transition operator (cid:51) and a displacement vector U read: Moving now to the definition of the operator (cid:51) itself, reference is made…”
An explicit dynamics extended finite element method. Part 2: Element-by-element stable-explicit/explicit dynamic scheme (2009, background): “Generalizations of explicit strategies were also proposed, such as subcycling algorithms (see for example Smolinski et al. [37, 38] and Daniel [15]), mixed multi-time algorithms (see Belytschko et al. [5, 7, 8] and Sotelino [39]), or dual mixed multi-time algorithms (see Gravouil and Combescure [12,”