Sentence examples for using the classical finite from inspiring English sources

The transient coupled problem is numerically studied using the classical finite element method.

It makes possible the accurate solution of engineering problems in complex domains, which may be practically impossible to solve using the classical finite element method.

Using the classical finite difference method theory, we claim our numerical scheme is the second-order algorithm which will be justified by the numerical examples in Sect. 5. We will propose a time-splitting finite difference (TSFD) method for computing the dynamics of a dipolar BEC based on the nonlocal NLS equation (3).

Though the researches of numerical solutions of viscoelastic wave equation have made a great progress (see, e.g., [3 5]), most of the existing papers either used the classical finite element (FE) methods or used finite difference (FD) schemes as discretization tools (see [6, 7]).

We use the version where fluxes are expanded to third-order accuracy in time, and for the fluid variables space is discretized using the classical fifth-order finite difference WENO discretization.

The viscous stress can be formulated using the classical tube model (Doi and Edwards, 1986); however, it cannot be used to capture the energy dissipation during finite deformation.

and by using the classical inequality (7.23).

We use the numerical approximations obtained by the classical finite element method as a benchmark for the capabilities of the new concept.

The results are compared to those found by the Dynamic Stiffness Matrix and the classical Finite Elements Method, using "Hermite" beam elements.

In our paper, we use the nonstandard finite difference methods rather than the classical finite difference methods to approximate the Lagrangian function.

However, a tremendous reduction of the number of degrees of freedom (d.o.f.) needed is achieved using the homogenized finite element beam (63 d.o.f.), compared to the classical finite element model (1500 d.o.f.o.f