Sentence examples for solution of classical from inspiring English sources

While in the interface away from the crack tip, the obtained stress is consistent with the solution of classical interfacial fracture mechanics.

For this type of problems, we generalize well-known approaches for the heuristic solution of classical problems and propose constructive algorithms based on job insertion techniques and iterative algorithms based on local search.

A series of two papers is devoted to develop a new kind of numerical method for vibration analysis of structure, called Composite Element Method (CEM), by combining the conventional finite element method and classical analytical theory, aiming at utilizing both the versatility of the traditional FEM and the closed analytical solution of classical theory.

The first one expresses that the fluid fluid surface tension is equilibrated by the two surface stresses (and not by the volume stresses of the body) and suggests a finite displacement at this line (contrary to the infinite-displacement solution of classical elasticity, in which the surface properties are not taken into account).

Parvizi et al. [14] presented a Jacobi collocation method for numerical solution of classical fractional advection diffusion equation with a nonlinear source term.

(2) If g = : I (: the identity operator), then the problem (1.2) is reduced to the problem of finding the common element of the solution of classical variational inequality problem and the set S, which has been studied by many authors (see [23 25] for examples).  .

The simplification algorithm is fed with the steady-solutions of classical flamelet equations, these being representative of the non-premixed nature of the combustion processes characterizing a hybrid rocket combustion chamber.

We present numerical solutions of classical test cases computed with linear, quadratic, and cubic elements which illustrate the versatility of the method and the importance of the boundary condition.

Many important problems have reformulations which require finding solutions of classical variational inequalities, for instance, image recovery, inverse problems, transportation problems, fixed point problems and optimization problems; see [1 11] and the references therein.

Figure 1 Solution surface of classical C-N scheme.

It had been proved that the numerical solution of the classical explicit scheme (theta=0) is greater than the analytical solution, and the numerical solution of the classical implicit scheme (theta=1) is less than the analytical solution.