Numerical method of identification for small circular openings in the domain of integration of an elliptic equation is presented. The method combines the asymptotic analysis of PDE’s with an application of neural networks. The asymptotic analysis is performed in singularly perturbed geometrical domains with the imperfections in form of small voids and results in the form of the so-called topolo...

We study analytically and numerically the effects of various imperfections in a quantum computation of a simple dynamical model based on the quantum wavelet transform. The results for fidelity time scales, obtained for a large range of error amplitudes and number of qubits, imply that for static imperfections the threshold for fault-tolerant quantum computation is decreased by a few orders of m...

Filigree lattice structures are sensible to geometrical imperfections and the scatter of material parameters which all depend on stability manufacturing process. The aim this study is analyze these effects for polymer incorporate them in a finite element model robust design. Micrographs structure slices show smaller diameter vertical struts. Basic mechanical tests bulk exhibit tension–compressi...

A unified and comprehensive treatment of shape sensitivity that includes variations in the nodal coordinates, member cross-section properties, and global shape parameters of inelastic frame structures is presented. A novelty is the consideration of geometric uncertainty in both the displacementand force-based finite element formulations of nonlinear beam-column behavior. The shape sensitivity e...

With the exploitation of offshore oil and gas gradually moving to deep water, higher temperature differences and pressure differences are applied to the pipeline system, making the global buckling of the pipeline more serious. For unburied deep-water pipelines, the lateral buckling is the major buckling form. The initial imperfections widely exist in the pipeline system due to manufacture defec...

In this work, we provide a numerical/experimental investigation of the micromechanics-induced scattered response of a polysilicon on-chip MEMS testing device, whose moving structure is constituted by a slender cantilever supporting a massive perforated plate. The geometry of the cantilever was specifically designed to emphasize the micromechanical effects, in compliance with the process constra...

Surface and volume imperfections can significantly affect the performance of nanoscale or microscale devices used in photonics, optoelectronics scientific instrumentation. In this article we present an open source software package for Finite-Difference Time-Domain electromagnetic field calculations suitable on graphics cards. Its special features include handling realistic models imperfect obje...

Considering the geometric nonlinearity and imperfection of stiffened cylinders, generalized similitude conditions scaling laws for axial compression post-buckling are established by applying transformation to total energy structure. The similarity cylinders is numerically analyzed, scale laws, through innovative application stiffness formulas deformation factor. Based on three type geometrical ...