A simple interpretation of the results emerges, which can be applied to grain boundaries in general.
Van Zanten suggested that those differences within the upper middle class are more pronounced in France than in the U.S., reflecting how social boundaries in general are sharper in France.
Take an honest look at your own boundaries (or, at times, your lack thereof) and how you relate to boundaries in general.
A multidomain Legendre pseudospectral method is developed for the solution of linear hyperbolic initial boundary value problems, with mixed boundary conditions, in general two-dimensional and axisymmetric geometries.
Finally, we fix an exponent σ ∈ (0, 1) as follows: if g ≡ 0, σ can be chosen arbitrary (but henceforth fixed); otherwise we take σ fixed in ( 0, 1 - n s ]. Under such assumptions on the structural conditions, full regularity of (1.1) at the boundary cannot, in general, be expected [1], even if the boundary data is smooth.
Under such assumptions on the structural conditions, full regularity of (1.1) at the boundary cannot, in general, be expected [1] even if the boundary data is smooth.
However, because they typically operate on non body-fitted grids, immersed boundary and ghost fluid methods also complicate other issues such as the treatment of wall boundary conditions in general, and fluid structure transmission conditions in particular.
The analysis revealed that friction affects the stress distribution around the hole boundary with, in general, the peak stresses varying with increasing values of frictional coefficient.
An algorithm is developed for discretizing boundary-value problems given by a general linear elliptic second order partial-differential equation with general mixed or Robin boundary conditions in general logically rectangular grids.
By expanding the unknown function in appropriately chosen global basis functions, each of which explicitly satisfies the given boundary conditions, in general this scheme converges exponentially fast and almost always supplies the most terse representation of a smooth solution.
