Sentence examples for using an integral formulation from inspiring English sources

The boundary conditions of traction free laminate edges are satisfied in an average sense by using an integral formulation.

Contrary to exact methods, instead of solving rigorously the EM problem, only first harmonic terms of currents are here considered using an integral formulation of Maxwell's equations.

It is shown that for displacement dependent dampers, the damper force estimated using an integral formulation is the correct and accurate approach for simulation purposes.

This method is based on the transformation of the displacement sensitivity characteristic of the damper into a velocity sensitivity characteristic, and then using an integral formulation to obtain the damping force over the velocity range.

The material microstructure is explicitly represented through Voronoi tessellations, of either convex or non-convex domains, and the mechanics of individual grains is modelled using a boundary integral formulation.

After an integral formulation, a discretization using the method of moments (MoM) is applied.

We use a boundary integral formulation for the fluid that results in a set of nonlinear integro-differential equations for the vesicle dynamics.

We show how the delayed response can be accounted for using a path-integral formulation of the stochastic dynamics and provide an expression for the rate of the ratchet that is accurate across a broad range of parameters.

The idea is to pose an integral formulation of the equation in terms of the underlying Green's function of the fractional operator to subsequently use numerical quadrature to obtain a set of ordinary differential equations.

Then, problem (2.2), (2.5) to (2.7) provides an integral formulation for the problem (1.1) to (1.4).

Now, in order to obtain an integral formulation of (1.1), we need the following results.