Sentence examples for replace the boundary from inspiring English sources

The classical numerical treatment of boundary value problems defined on infinite intervals is to replace the boundary conditions at infinity by suitable boundary conditions at a finite point, the so-called truncated boundary.

end{aligned}In the case of (N=1) we replace the boundary condition (2) by the condition begin{aligned} B^- u,a)in l(theta ^-) quad text { and }quad B^- u,a in l(theta ^+), end{aligned}with given constants (theta ^-,theta ^+in (0,,2pi ]).

The right image has replaced the boundary edge with an array of dots, and we can still see the stimulus as having the shape of a rooster.

The dead-zone problem in Fig. 10 was eliminated in direct closest point projection by replacing the boundary by a smooth interpolation, for example in [9,12].

Further, instead of replacing the boundary of a FEM mesh by a smooth surface, one may use higher-continuous element formulations as found in isogeometric analysis [16 18] which explicitly define smooth boundaries.

Within the family of gap function algorithms, non-smooth surface features can be approached for a certain degree by replacing the boundary of the finite element mesh by a smoothed surface representation which is at least C 1 -continuous and is typically based on splines, NURBS or NURBS-patches, see for example [7 15].

If we replace the unilateral boundary condition (5) by a bilateral boundary condition [see (10) below], then the notion of admissibility does not make sense.

Previous research from this laboratory has found that one can replace the outer boundary of an object with a spaced set of dots, each being shown successively for only a tenth of a millisecond, and subjects can still name the object at a level that is far above chance [ 2, 3].

Moreover, in this paper it is possible to replace the four point boundary conditions by multi-point boundary conditions or integral boundary conditions with minor modifications.

In this work, our goal is to obtain numerically the approximate solution of a parabolic equation with non-local conditions (on four boundaries) replacing the classical boundary specifications.

We shall replace the push-in boundary curve by a boundary curve made up of the sides of squares.