Exact(1)
These approximations are used to develop a variational formation, upon which a viscous finite element method (FEM) model is based, requiring only minor modifications to the boundary integral contributions of an existing inviscid FEM model.
Similar(59)
If needed, that is, if the age adjustment failed, we applied modifications to the boundaries of the youngest and the oldest age groups to enhance calculability: the boundaries of these age groups were modified so that the age-specific survival in these (youngest and oldest) age groups could be calculated.
The brass has approximately the same number fraction of Σ3s (38%), but a lower number fraction of Σ9s and Σ27s and a markedly different microstructure where twins are not incorporated into the grain boundary network and instead the network is modified indirectly via the modification to the boundary crystallography that results from twinning.
In both regions, however, similar arguments were used in support of negative opinions, or in requests for modification to the designated boundaries and in the examples where possible conflicts were identified, which may occur after the Natura sites are established in the planned locations.
Modifications to channel boundaries have been demonstrated to eliminate compromising fluid flow found in these regions [ 52].
The success of the zero-pressure gradient skin friction estimate is encouraging as the only modifications that need to be made to the boundary layer model to account for a bluff body are the boundary layer outer velocity distribution and the location of separation.
end{aligned} (9)The result for compactly supported forms (which in this setting can be useful if one is working on compact Kähler manifolds) goes through in the same way, as does the modification to manifolds with boundary introduced by Morrey and Kohn.
The main proposal of the method is that boundary modifications are given by a set of displacements that, its magnitude and direction, take into account the geometrical information of the neighborhood, unlike other methods that simply generate displacement perpendicular to the boundary.
We used the PELT procedure through the R package "changepoint" [ 14] without any modification to identify boundaries.
To obtain a stable approximate solution of the problem (1.1), we make a modification of the boundary value of the (1.1) as follows: u ( x, 1 ) + β 2 f ( x ) = g δ ( x ).
If the initial condition corresponds to a steady state configuration with coexistence of two phases on the sample, then approximate analytical expressions can be found by suitable modification of the boundary conditions.
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