A method is presented which optimizes weights of general planar 1D and 2D symmetric full and sparse arrays. The objective is to nd a weighting of the array elements which gives the minimum sidelobe level of the array pattern in a speci ed region the stopband. The sidelobe level is controlled on a discrete set of points from this region. The method minimizes the Chebyshev norm of the sidelobe le...

This article presents an algorithm for finding exact and overlapping biclusters, all covered by the same discrete value. It can be very useful to analyse data where the key task is finding which objects (elements in rows) across subset of attributes (elements in columns) have the same value in case of discrete data or belong to this same discrete state in case of continuous data.

in the current study, an effort is made to determine three dimensional bearing capacity of rectangular foundations using discrete element method. the soil mass is modeled as discrete blocks connected with winkler springs. different factors affect the geometry of failure surface. six independent angles are used to define the failure surface. by trial and error, the optimum shape of failure surfa...

We consider the numerical simulation of nonlinear multi-body contact problems in elasticity on complex three-dimensional geometries. In the case of warped contact boundaries and non-matching finite element meshes, particular emphasis has to be put on the discretization of the transmission of forces and the non-penetration conditions at the contact interface. We enforce the discrete contact cons...

The finite element method can be viewed as a machine that automates the discretization of differential equations, taking as input a variational problem, a finite element and a mesh, and producing as output a system of discrete equations. However, the generality of the framework provided by the finite element method is seldom reflected in implementations (realizations), which are often specializ...

We consider an initial boundary value problem for a one-dimensional fractional-order parabolic equation with a space fractional derivative of Riemann–Liouville type and order α ∈ (1, 2). We study a spatial semidiscrete scheme using the standard Galerkin finite element method with piecewise linear finite elements, as well as fully discrete schemes based on the backward Euler method and the Crank...

A stable finite element scheme that avoids pressure oscillations for a three-field Biot’s model in poroelasticity is considered. The involved variables are the displacements, fluid flux (Darcy velocity), and the pore pressure, and they are discretized by using the lowest possible approximation order: Crouzeix-Raviart finite elements for the displacements, lowest order Raviart-Thomas-Nédélec ele...

A nonconvex optimal control problem is considered, for systems governed by a parabolic partial differential equation, nonlinear in the state and control variables, with control and state constraints. Since this problem may have no classical solutions, it is reformulated in the relaxed form. The relaxed problem is discretized by using a finite element method in space and an implicit theta-scheme...

Everyday actions invariably consist of a combination of discrete and rhythmic elements within or across joints. The study investigated constraints arising from the co-occurrence of the two actions in a two-joint task and how endpoint trajectories are shaped due to these action elements at the joint level. The task consisted of an elbow oscillation in the plane that was to be merged with a fast ...

In this study, the effect of earthquake frequency content and noise effects on damage detection has been investigated. For this purpose, the damage was defined as nonlinear behavior of beams and columns, and several ground motion records were scaled so that some elements yield under the applied excitation. Then the acceleration response data of each floor obtained using the nonlinear dynamic an...