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The modal density is largely independent of boundary conditions for one-dimensional systems although there are exceptions, while it is dependent on boundary conditions for two-dimensional systems.
Its performance is dependent on boundary condition, envelope estimation, and stopping criterion.
However, numerical solution of natural convection in enclosures with openings at top and bottom (ovens) can often lead to non-physical solutions such as reverse flow at the top vent, partly a function of initialization and sometimes dependent on boundary conditions.
The relationship between attenuation and chromophore concentration is highly non-linear and dependent on boundary conditions.
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In practice, one can assume the boundary conditions, which results in large errors, as the solution of an elliptic equation is continuously dependent on the boundary conditions, and there may be a large difference between the assumed boundary conditions and the real boundary conditions.
So is the wave cased by the PBC and strongly dependent on the boundary?
The crack paths are shown, which are dependent on the boundary conditions.
The results show that the band-gap and propagating mode properties of the compound plate are highly dependent on the boundary stiffness constants.
The research objective is to show on the basis of two specific examples that the necessity of considering FSI is strongly dependent on the boundary conditions of the system.
It is found from the studies that the frequency characteristic with respect to fiber orientation under thermal environment is highly dependent on the boundary condition considered for the shell laminate.
The results suggest that the finite element method may be used to predict accurately the direction and spectral trends of beam flexural power, but that numerical power magnitudes are highly dependent on accurate boundary condition quantification.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com