Sentence examples for formulated boundary from inspiring English sources

To solve the formulated boundary value problem, the technique of Hankel's integral transformation is used.

The formulated boundary-value problem is solved by a nonhypersingular traction boundary integral equation method (BIEM).

The formulated boundary-value problem solved and the influence of magnetic field on the characteristics of vibration process of the examined magnetoelastic system is investigated.

Thus, a systematic way to formulate boundary value problem for general symmetric laminates containing many cracked and un-cracked plies has been derived, and appropriate mathematical tools can then be employed to solve them.

As the United States seeks to revive the peace negotiations and help formulate boundaries for an eventual Palestinian state, American officials say that Israel's settlement machine stands as one of their most formidable obstacles.

The extra gradient-induced boundary conditions are formulated as "boundary congruence conditions" on the microstructure's deformation relative to the continuum, which ultimately require that the normal derivative of the stresses must vanish at the boundary surface.

Moreover, they formulated the boundary value condition on this strongly degenerate boundary in a much weaker sense since the regularity of the solution is much weaker near this boundary.

Then the problems of bending of simply supported plates, membranes, heat conduction, and the irrotational flow of incompressible fluids are formulated as boundary value problems for the Laplace or Poisson equations and numerical results for several case studies are obtained using the BEM.

An initial stress formulation is used to formulate the boundary integral equations.

Modified Love-Timoshenko equations that model a shell forced by a longitudinal harmonic boundary condition at one end and grounded by a mechanical spring and damper at the other are used to formulate this boundary value problem.

To integrate the Navier Stokes equations on a finite subregion of an original domain only we supplement the numerical algorithm by special nonlocal artificial boundary conditions formulated on an external boundary of the finite computational domain.