Several structures need their response to blast loads be investigated grant an acceptable survivability level. To this purpose, experimental campaigns are complex, but some numerical methods commonly exploited. The explosion pressure-time history is typically estimated characterizing the detonation of energetically equivalent involving a specific amount TNT. at point, fixed in space, involved b...

We propose a new algorithmic framework for constrained compressed sensing models that admit nonconvex sparsity-inducing regularizers including the log-penalty function as objectives, and loss functions such Cauchy Tukey biweight in constraint. Our employs iteratively reweighted $$\ell _1$$ _2$$ schemes to construct subproblems can be efficiently solved by well-developed solvers basis pursuit de...

In the current research the maximum deflection of circular plates made of AA5010 and AA1100 alloys under blast load was investigated. Shock waves were produced by exploding a spherical charge in different distances from the center of plates. The ABAQUS software uses conwep equation for blast loading analysis. It was found the results of these simulations have about 30% to 40% inaccuracy in comp...

This is a continuation of the paper [3]. We consider the Dirichlet Laplacian in a family of unbounded domains {x ∈ R, 0 < y < ǫh(x)}. The main assumption is that x = 0 is the only point of global maximum of the positive, continuous function h(x). We show that the number of eigenvalues lying below the essential spectrum indefinitely grows as ǫ → 0, and find the twoterm asymptotics in ǫ → 0 of ea...

Abstract Let $\pi $ be a Hecke–Maass cusp form for $\textrm{SL}_3(\mathbb{Z})$ with normalized Hecke eigenvalues $\lambda _{\pi }(n,r)$. $f$ holomorphic or Maass $\textrm{SL}_2(\mathbb{Z})$ _f(n)$. In this paper, we are concerned obtaining nontrivial estimates the sum $$\begin{align*}&amp; \sum_{r,n\geq 1}\lambda_{\pi}(n,r)\lambda_f(n)e\left(t\,\varphi(r^2n/N)\right)V\left(r^2n/N\right), \end{a...

Abstract Analogously to primes in arithmetic progressions large moduli, we can study that are totally split extensions of ${\mathbb {Q}}$ high degree. Motivated by a question Kowalski focus on the {Q}}(E[d])$ obtained adjoining coordinates $d$-torsion points non-CM elliptic curve $E/{\mathbb {Q}}$. We show for almost all integers $d$ there exists and prime $p&amp;lt;|\text {Gal}({\mathbb {Q}}(E...