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It should be noted that we impose boundary conditions of inequality type on the crack.
In order to obtain a unique solution pair ( u ON, u OFF ), we must impose boundary conditions.
We use summation-by-parts finite difference operators to approximate the spatial derivatives and impose boundary conditions weakly using penalties.
The GUI allows the user to initialise the slope geometry, define the hydrological, vegetation and geotechnical variables and, impose boundary conditions and initial conditions.
These shape functions have delta function property in the frame work of interpolation; therefore, they convince us to impose boundary conditions directly.
In particular, we discuss how to impose boundary conditions at irregular domains and free boundaries, as well as the extension of level-set methods to adaptive Cartesian grids and parallel architectures.
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I had the feeling that I ought to try and impose boundaries.
The sharp discontinuities in K27 methylation coincide with binding sites of the CCCTC-binding factor (CTCF), which is thought to impose boundaries on regulatory domains in many systems (Ohlsson et al., 2010).
We may wish to understand how many patients present in a timely manner, and how many take an undesirably long time to present, requiring us to impose boundaries within our data.
That comes from a place of invention and collaboration and so then it's not really about, it was never about obeying some externally imposed boundary or something like that.
The boundary layer imposes boundary constraints in the x and y directions.
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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