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The method weakly enforces continuity of the vorticity, traction, and hypertraction across interelement boundaries.
The formulation weakly enforces continuity of derivatives of the displacement field across interelement boundaries and stabilization is achieved via Nitsche's method.
The method is mass conservative and, in the case that piecewise constant functions are used as a basis, the method preserves the positivity of the electron distribution function and weakly enforces continuity of the electric field through mesh interfaces and boundary conditions.
The mesh nodes along the edges are shared between the adjoining faces which enforces continuity of the h field and therefore surface S between the faces.
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In the case of discontinuous viscosity, we require a Lagrange multiplier term to enforce continuity of the fluid velocity.
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.
Given an input triangulated surface mesh, a feature size field is determined by casting rays normal to the surface and into the geometry and then performing gradient-limiting operations to enforce continuity of the resulting field.
A novel approach is also proposed in which penalty functions are introduced to enforce continuity of displacements at two opposite ends of a shell of rectangular platform, increasing the range of problems which can be treated to include closed shells, such as cylinders, barrels, cooling-tower-type structures, toroids, rings, etc. (a sub-class of shells of revolution).
On the surface Γ E of the electrode a constant potential g is given in (3), while we enforce continuity of the potential as well as of the flux for the dielectrics by (4) and (5).
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).
Then the discrete action for a single element writes (17) S k = j k T q k + - j k + 1 T q k + 1 - + 1 2 (θ k + 1 - θ k ) q k + 1 - - q k + M 2 - θ k + 1 - θ k ∑ i V i q K (i, A (k, i ) ) + wherein the discrete momenta j k are Lagrange multipliers which enforce continuity of q (t ) at the time step boundaries.
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