The paper is devoted to the problem of propagation elastic waves in composites with initial stresses. We suppose stresses are well within regime. deal long-wave case and use asymptotic homogenization technique based on two-scale approach. main lies solving local (cell) problem, i.e., boundary value a periodically repeating fragment composite. In general, cannot be solved explicitly. our work, i...

This paper presents a new methodology, called AFSSEN, to simultaneously select significant predictors and produce smooth estimates in high-dimensional function-on-scalar linear model with sub-Gaussian errors. Outcomes are assumed lie general real separable Hilbert space, H, while parameters subspace known as Cameron–Martin K, which closely related Reproducing Kernel Spaces, so that the paramete...

Asymptotic homogenization method is often used in multiscale analysis of periodic structures instead conducting a full field heterogeneous analysis, order to achieve computational feasibility and efficiency. When completed with relocalization process, this may provide relevant estimates microscale fields within the material. Nevertheless, construction solution near boundaries remains beyond cap...

This article addresses some asymptotic and numerical issues related to the solution of Burgers’ equation, −εuxx+ut+uux = 0 on (−1, 1), subject to the boundary conditions u(−1) = 1+δ, u(1) = −1, and its generalization to two dimensions, −ε∆u+ut+uux+uuy = 0 on (−1, 1)×(−π, π), subject to the boundary conditions u|x=1 = 1 + δ, u|x=−1 = −1, with 2π periodicity in y. The perturbation parameters δ an...