Sentence examples for at the element interface from inspiring English sources
Furthermore, this higher order element allows for increasing the degree of continuity at the element interface.
We denote the left and right limits of the function (v_{h}) at the element interface (x_{j+1/2}) by ((v_{h})^_{j+1/2}) and ((v_{h})^_{j+1/2}), respectively.
On the other hand, the difference between the left and right conserved variables at the edge interface will introduce dissipation to the SD method when applying a Riemann solver to compute the flux at the element interface.
These properties are introduced by means of a suitable definition of numerical fluxes at the element interfaces.
Only the high frequency type inherent dissipation caused by the Riemann solver at the element interfaces is used to account for the missing sub-grid scale dissipation.
The solution process requires that both displacement and traction continuity at the finite element interface with the outer field be satisfield.
The related finite element led straightforwardly to the assembly of the stiffness matrices at the structural element interfaces (matrix-to-fiber, matrix-to-layer, layer-to-layer etc).
Since the continuity of curvature at element interfaces cannot be guaranteed with the use of conventional formulation, the stress distribution across the thickness is not continuous at element interfaces.
When using interpolations of the deformation gradient being continuous at finite element interfaces then a finite element based subdivision may not be the best solution.
The main ingredients are summation-by-parts (SBP) operators derived from Legendre Gauss Lobatto quadrature, the entropy conservative flux within elements, and the entropy stable flux at element interfaces.
In adaptive finite element analysis, h-type refinement can be achieved basically in two ways: (i) small elements are connected directly to large elements with full compatibility at element interfaces and (ii) transitional elements are employed to link up elements of different sizes.
