Numerical bounds

Part 2 of ebook "Applied partial differential equations (Third edition)" provides readers with contents including: Chapter 4 - Partial differential equations on bounded domains; Chapter 5 - Applications in the life sciences; Chapter 6 - Numerical computation of solutions;...

131p daonhiennhien 03-07-2024 1 1   Download

This article presents two methods to determine pressing forces to the M1 copper plate. The first approach employs the upper-bound method, and the second method combines numerical simulation with a central composite design. The upper-bound method uses physical analysis to determine the deformation zone and establish the division of the rigid block model. The findings were identical to the slip-line solution method.

12p viambani 18-06-2024 3 1   Download

This enables the use of straightforward methods for isogeometric analysis in conventional finite element systems. A SOCP problem is created from the limit analysis problem, which may then be solved using Mosek optimization software. The numerical results indicate the correctness and effectiveness of the current technique by contrasting it with other approaches mentioned in the literature.

8p vijeff 27-11-2023 4 4   Download

One-loop contributions to the decay process \(H \to Z*\gamma \to {v_e}{v_e} \gamma \) in standard model are performed in the paper "One-loop contributions to in standard model \(H \to Z*\gamma \to {v_e}{v_e} \gamma \)". The detailed computations are carried out in unitary gauge. In physical results, we present numerical results for partial decay width and its distribution. We find that the partial decay width is given to 0.466 KeV. This result is in the upper bound of the current experimental data at the Large Hadron Collider.

9p runordie2 06-06-2022 12 2   Download

In this paper, a class of uncertain switching time-delay systems with nonlinear perturbations is considered. The system parameter uncertainties are time-varying and unknown with norm-bounded. The delay in the system states is also time-varying. By using an improved Lyapunov-Krasovskii functional, a state dependent switching rule for robust exponential stability is designed in terms of solution of Lyapunov-type equations and growth bound of perturbations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution.

9p thienlangso 15-12-2021 9 2   Download

The present paper derives numerical bounds of the elastic properties of polycrystals. The homogenized elastic coefficients are computed from Voronoi-type unit cells. The main result of the article detemines the upper and lower bounds for a case of polycrystals made up of cubic single crystals by using the fast Fourier transform method (FFT) based on the shape function.

14p cothumenhmong11 05-05-2021 20 1   Download

Numerical finite element simulations on the homogenization problem for large samples of particular 2D hexagonal-shape-geometry random orientation aggregates from the base crystals of orthorhombic symmetry have been performed. At sufficiently large random-aggregate samples, the scatter intervals of the macroscopic 2D bulk and shear elastic moduli converge toward the Voigt-Reuss-Hill bounds, and then our recently constructed theoretical estimates, which have been specified for the aggregates.

7p nguaconbaynhay11 07-04-2021 11 1   Download

In this paper, we show that in many case, this qualitative explanation can be expanded into a quantitative one, that enables us to explain the numerical characteristics of the corresponding behavior.

29p angicungduoc9 04-01-2021 13 1   Download

The ultimate stability of nonlinear time-varying systems with multiple delays and bounded disturbances are investigated in this paper. Based on some comparison techniques via differential inequalities, explicit delay-independent conditions are derived for determining an ultimate bound such that all state trajectories of the system converge exponentially within that bound. The obtained results also guarantee exponential stability of the system when the input disturbance vector is ignored. Numerical simulations are given to illustrate the effectiveness of the obtained results.

14p nguathienthan6 06-07-2020 12 1   Download

This paper presents an efficient and accurate numerical technique based upon the scaled boundary finite element method for the analysis of two-dimensional, linear, second-order, boundary value problems with the domain completely described by a circular defining curve. The scaled boundary finite element formulation is established in a general framework allowing single-field and multi-field problems, bounded and unbounded bodies, distributed body source, and general boundary conditions to be treated in a unified fashion.

11p elandorr 05-12-2019 14 0   Download

In this paper, a computational method based on a hybrid of parabolic and block-pulse functions is proposed to solve a system of linear and special nonlinear Fredholm integral equations of the second kind. The convergence and error bound are analyzed. Numerical examples are given to illustrate the efficiency of the method.

10p danhdanh27 07-01-2019 26 1   Download

We establish a generalization of a recent trapezoid inequality for functions of bounded variation. A number of special cases are considered. Applications are made to quadrature formulae, probability theory, special means and the estimation of the beta function.

17p tuongvidanh 06-01-2019 25 1   Download

The article is devoted to Circle covering problem for a bounded set in a two- dimensional metric space with a given amount of circles. Here we focus on a more complex problem of constructing reserve and multiply coverings. Besides that, we consider the case where covering set is a multiply-connected domain. The numerical algorithms based on fundamental physical principles, established by Fermat and Huygens, is suggested and implemented. It allows us to solve the problems for the cases of non-convex sets and non-Euclidean metrics.

11p danhnguyentuongvi27 19-12-2018 15 0   Download

This paper presents a numerical procedure for lower bound limit analysis of plane problems governed by von Mises yield criterion. The stress fields are calculated based on the Airy function which is approximated using the moving least squares technique.

13p thienthanquydu 23-10-2018 33 0   Download

Three-point correlation bounds are constructed on effective conductivity of unidirectional composites, which are isotropic in the transverse plane. The bounds contain, in addition to the properties and volume proportions of the component materials, three-point correlation parameters describing the micro-geometry of a composite, and are tighter those obtained in [1]. The bounds, applied to some disordered and periodic composites, keep inside the numerical homogenization results obtained by Fast Fourier method.

13p thienthanquydu 19-10-2018 22 0   Download

We study how the trapping time of an electron in a circular graphene quantum dot depends on the electron’s angular momentum and on the parameters of the external Gaussian potential used to induce the dot. The trapping times are calculated through a numerical determination of the quasi-bound states of electron from the two-dimensional Dirac-Weyl equation. It is shown that on increasing the angular momentum, not only the trapping time decreases but also the trend of how the trapping time depends on the effective radius of the dot changes.

10p thuyliebe 08-10-2018 27 0   Download

This paper deals with the problem of asymptotic stability for a class of nonlinear discrete-time systems with time-varying delay. The time-varying delay is assumed to be belong to a given interval, in which the lower bound of delay is not restricted to zero. A linear matrix inequality (LMI) approach to asymptotic stability of the system is presented. Based on constructing improved Lyapunov functionals, delay-depenent criteria for the asymptotic stability of the system are established via linear matrix inequalities. A numerical example is given to show the effectiveness of the result..

5p vision1234 30-06-2018 36 1   Download

Construction of bounds on the elastic moduli of isotropic multicomponent materials which involve three-point correlation parameters. We use numerical methods to study several representative material models. Construction of three-point correlation bounds on the effective elastic shear modulus of composite materials and applications of the bounds are given to some composites.

31p change04 08-06-2016 37 4   Download

A young Irish gentleman of the numerous clan O'Donnells, and a Patrick, hardly a distinction of him until we know him, had bound himself, by purchase of a railway-ticket, to travel direct to the borders of North Wales, on a visit to a notable landowner of those marches, the Squire Adister, whose family-seat was where the hills begin to lift and spy into the heart of black mountains. Examining his ticket with an apparent curiosity, the son of a greener island debated whether it would not be better for him to follow his inclinations, now that he had gone so far as to pay for...

120p nhokheo2 15-04-2013 42 3   Download

Some starch-degrading enzymes accommodate carbohydrates at sites situ-ated at a certain distance from the active site. In the crystal structure of barleya-amylase 1, oligosaccharide is thus bound to the ‘sugar tongs’ site. This site on the non-catalytic domain C in the C-terminal part of the mole-cule contains a key residue, Tyr380, which has numerous contacts with the oligosaccharide.

13p media19 04-03-2013 45 1   Download