3,735 research outputs found
Generating matrix of the bi-periodic Lucas numbers
In this paper, firstly, we introduce the Q_{l}-Generating matrix for the
bi-periodic Lucas numbers. Then, by taking into account this matrix
representation, we obtain some properties for the bi-periodic Fibonacci and
Lucas numbers
Space/time global/local noninvasive coupling strategy: Application to viscoplastic structures
The purpose of this paper is to extend the non-invasive global/local
iterative coupling technique [15] to the case of large structures undergoing
nonlinear time-dependent evolutions at all scales. It appears that, due to the
use of legacy codes, the use of different time grids at the global and local
levels is mandatory in order to reach a satisfying level of precision. In this
paper two strategies are proposed and compared for elastoviscoplastic models.
The questions of the precision and performance of those schemes with respect to
a monolithic approach is addressed. The methods are first exposed on a 2D
example and then applied on a 3D part of industrial complexity
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