Sentence examples for compatible boundary from inspiring English sources

Following [1], we give the definition of compatible boundary conditions and introduce the definition of compatible impulses.

We give the definition of compatible boundary conditions and introduce our definition of compatible impulses in Section 3.

Since ∥ r x ∥ ≠ 0 on ⋃ k ∂ C Ω k, strongly compatible boundary conditions on Ω will be strongly compatible on Ω ε for 0 < ε sufficiently small.

After performing a pre-process on the non-compatible boundary surfaces, the discrete Coons mask is generalized to a unified form, which provides more choices for the construction of inner control points.

Provides, free of charge, aggregate census data and GIS-compatible boundary files for the United States between 1790 and 2012.

Assume that the heat conductivity κ satisfies (1.4 - 1.6 1.4 - 1.6initianddatheare compatinitialth boundata conditions.

We show that systems of second-order ordinary differential equations, x ″ = f ( t, x, x ′ ), subject to compatible nonlinear boundary conditions and impulses, have a solution x such that ( t, x ( t ) ) lies in an admissible bounding subset of [ 0, 1 ] × R n when f satisfies a Hartman-Nagumo growth bound with respect to x ′.

As already described before, the local gradients (and the local Hessian matrices) have to be compatible with the boundary curve p e, which means that the boundary curve needs to have a first (and second order contact) with the function f q along the boundary curve, i.e.  (B.4) ∂ ∂ s f q (p e (s ) ) | s = t = 0 (B.5) (and ∂ 2 ∂ s 2 f q (p e (s ) ) | s = t = 0 ) for q = p e (t ).

Based on the optimized polycube and parameterization, compatible B-spline boundary surfaces are reconstructed.

The turbulent contribution is compatible with a boundary layer model whose origin is in decaying microeddies.

These truncated profiles are not compatible with the boundary layer theory and introduce errors in wall shear stress and wall heat transfer values.