Sentence examples for by exact solution of from inspiring English sources

The pre-stresses due to the thermal and mechanical loadings are obtained by exact solution of the equilibrium equations.

The residual is equal to zero only by exact solution of the problem.

The paper is concerned with nonlinear spatial deformations of nanorods, described by exact solutions of the equilibrium equations of a rod theory based on the kinematics of Kirchhoff's inextensible rods and the constitutive equation of Eringen's nonlocal materials.

The approximation is verified by the exact solution of Nernst Planck Poisson set of equations.

An independent solution has also been obtained by means of a finite element code in order to ascertain the validity and accuracy of the results predicted by the exact solution of Timoshenko's dynamic differential system.

The effects of the shear modulus, permeability and porosity of the soil medium and the velocity of the moving load on the dynamic response of the soil layer are numerically evaluated and compared with those obtained by the exact solution of the problem.

The inviscid numerical fluxes both in the continuity and in the momentum equation are computed using the values of velocity and pressure provided by the (exact) solution of the Riemann problem associated with a local artificial compressibility perturbation of the equations.

The first kind of dismissal should clearly be minimized by the exact solution of the optimization problem.

The existence of curve veering in continuous models is illustrated by presenting the exact solution of an elementary eigenvalue problem.

We investigate the nonlinear tunneling of optical solitons through both dispersion and nonlinear barriers by employing the exact solution of the generalized nonlinear Schrödinger equation with variable coefficients.

The minimum norm least squares solution can be described by the unique exact solution of the other discrete problem.