The method used, which, in the authors' opinion, is not quite new, is based on the expansion of the elasticity equations into a Taylor series of the transverse variable: by using the same degree of expansion, the equations obtained for the cylindrical part and for the spherical parts are consistent (they correspond to the Donnell and Mushtari approximation).
Nevertheless, CGF is able to predict point-wise accurate results (less than 1% of deviation) even for the for transverse stresses variables.
Duan [10] uses continuous linear elements (enriched with local bubbles) to approximate rotation and transverse displacement variables, and an (L^{2}) projector is applied to the shear energy term onto the Raviart-Thomas (mathrm{H}(mathrm{div} Omega)) finite element.
The formulation of the finite elements is based upon Reissner's mixed variational theorem (RMVT), which allows one to assume two independent fields for displacements and transverse stress variables.
Solutions of these ODEs for the transverse-averaged dependent variables are then utilized to develop the difference scheme.
The position of the Roux limb with regards to the transverse colon is variable: it may be antecolic (superior and anterior to the transverse colon) or retrocolic (tunneling through a surgically created defect in the transverse mesocolon).
On the other hand, Ishak et al. [16] considered the steady MHD boundary layer flow in a conducting fluid flowing transverse to a variable magnetic field along a moving wedge in a free stream.
Square packing is present at the midzone of anaphase B spindles in both genetic backgrounds, but the tight hexagonal packing nearer the poles of anaphase B spindles was not observed in cdc25.22 mutant cells, where a more variable transverse architecture was present.
Mostafa et al. [25] studied the flow and heat transfer of an electrically conducting non-Newtonian power law fluid within a thin liquid film over an unsteady stretching sheet in the presence of a transverse magnetic field with variable viscosity and variable thermal conductivity.
Then, assuming the transverse stresses as independent variables, the continuity at the interfaces between layers is easily imposed.
