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That's nature enforcing continuity again.
The second estimator returns a smoothed version of the former by enforcing continuity over the speed axis.
This basic set is typically enhanced by enforcing continuity of functions at some generalized degrees of freedom, such as average values on edges or faces of subdomains.
The force displacement relationship in the intermediate, mixed elastic plastic regime is approximated by enforcing continuity between the elastic and fully plastic regimes.
The resulting three-part model still uses part I and the new part III + III′ to estimate part II from MAP and enforcing continuity of pressure through points B and C (Fig. 1, B and F).
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The Maxwell equations in the magnetohydrodynamic (MHD) limit in heterogeneous domains composed of conducting and non-conducting regions are solved by using Lagrange finite elements and by enforcing continuities across interfaces using an Interior Penalty technique à la Baker [Finite element methods for elliptic equations using non-conforming elements, Math. Comp. 31 (1977 (1977) 45 59].
Singularities reflect nature's attempt to resolve mismatches, to enforce continuity against all odds.
The method weakly enforces continuity of the vorticity, traction, and hypertraction across interelement boundaries.
In the case of discontinuous viscosity, we require a Lagrange multiplier term to enforce continuity of the fluid velocity.
The novel a posteriori error estimation technique – the bound method – is based on relaxing Lagrange multipliers that enforces continuity between sub-domains.
Single step stacking sequence optimisations relying on evolutionary algorithms to enforce continuity through the application of blending rules are prone to the curse of dimensionality.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com