Sentence examples for formulate the boundary from inspiring English sources

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

For this, we formulate the boundary value problem as the fixed point problem.

We formulate the boundary conditions for Maxwell's equations to satisfy Poisson's equation throughout the domain by solving it only on the boundary.

On the basis of the general linearized statement of the problem on motion of prestressed elastic anisotropic body, we formulate the boundary value problem on steady-state radial vibration of elastic isotropic pipe.

We formulate the boundary value problem of traction for inhomogeneous anisotropic elastic materials in terms of stresses following the method introduced by Pobedria and apply it to spherically anisotropic materials.

An extended r-minimum algorithm is proposed to formulate the boundary condition, such as the yield of element, maximum allowable strain increment, maximum allowable rotation increment, maximum allowable equivalent stress increment, and tolerance for nodes getting out of contact with tool.

To formulate the boundary-snapping procedure as dynamic programming, we must define an evaluation function that embodies a notion of the "best boundary".

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.

We formulate the complete boundary value problem (BVP) for the geometrically non-linear theory of thin elastic shells expressed entirely in terms of intrinsic field variables––the stress resultants and bendings of the shell reference surface.

We formulate the Picard boundary value problem - x"(t) = fbigl t,x t),x'(t),x t) bigr),quad mbox{where } x 0) = x(1) = 0 (1) as a fixed point equation of the operator (T:overline{K}_{r} to K), (K_{r} = { x in K Vert x Vert < r }), Ty(t) = fbiggl t,L^{ - 1}y,frac{d}{dt}bigl(L^{ - 1}y bigr), - ybiggr), where (L X to Y) is defined by (Lx = - x"(t)).

These stresses and the electric displacements, with opposite signs, are used as the crack surface traction and electric displacement load to formulate the mixed boundary-value problem.