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Then, a symmetric periodic solution for the overall system is obtained by imposing continuity and matching conditions.
Macro and microscales are linked together imposing continuity of gas phase concentrations and fluxes at the common boundary.
We consider the Monge Kantorovich transport problem in a purely measure theoretic setting, i.e. without imposing continuity assumptions on the cost function.
Both displacement continuity and force balance are guaranteed by imposing continuity conditions at the interfaces between the debonded and perfectly bonded regions.
Rather than working with this three-field formulation, fluxes are modeled using finite difference expressions and then the traces are determined by imposing continuity of fluxes, although other strategies could be devised.
Our contributions are two-fold: (a) we establish the foundation of this approach, by defining single-scale laminates and giving self-contained proofs of their optimality in the high-porosity limit; and (b) we explore two numerical applications minimizing weight with a constraint on the Hooke's law, and imposing continuity on a spatially varying microstructure.
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Instead, the method employs a set of local approximate solutions of flow to impose continuity of hydraulic head and Darcy fluxes throughout space and time.
In this work we put forward a new application of the Virtual Element Method combined with the Mortar method for domain decomposition: we exploit the flexibility of the VEM in handling polygonal meshes in order to easily construct meshes conforming to the traces on each fracture, and we resort to the mortar approach in order to "weakly" impose continuity of the solution on intersecting fractures.
Due to the imposed continuity restriction or image noise, it is possible that a fiber is only partially segmented (Figure 7).
Fluid-structure coupling is considered by imposing velocity continuity condition at fluid-structure interfaces.
A series of approximate artificial boundary conditions at the given artificial boundary are designed by imposing the continuity of the solution and its normal derivative.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com