Exact(4)
The asymptotic analysis demonstrates that the new formulation does not suffer from the limitations of standard upwind methods in the thick diffusive regime; in particular, the new method yields the correct diffusion limit for any approximation order, including piecewise constant discontinuous finite elements.
It is an ongoing discussion and probably undecidable as lacking a criterion of approximation quality which if any at all is the correct diffusion approximation to use.
Clearly, the diffusion coefficient obtained at the convection-controlled region takes into account the phenomenon of natural convection and fails to predict the correct diffusion coefficient of the system.
More sophisticated methods such as multivariate analysis of whole experimental datasets[ 39, 40] can retrieve correct diffusion coefficients for mixtures containing small numbers of species, but fail completely for complex systems such as that studied here, in which a large number of different reaction products give signals in the crowded δ=3.0 6.0 ppm region.
Similar(56)
Following free water correction, corrected diffusion indices were computed: MD and FA.
Fractional anisotropy (FA) and mean diffusivity (MD) will be estimated from corrected diffusion data using a diffusion tensor model.
Diffusion Analysis An extensive pre-processing and quality control procedure will be used to detect and correct image artefacts caused by involuntary head movement, cardiac pulsation, and image distortions [ 30 ]. Fractional anisotropy (FA) and mean diffusivity (MD) will be estimated from corrected diffusion data using a diffusion tensor model.
A simple design method for the SPRTFT chart is developed based on corrected diffusion approximations to its statistical properties.
The effects of the ratio of the two molecular diffusion coefficients as well as the maximum loading of a single cage on the concentration dependence of the effective and the corrected diffusion coefficients are investigated.
In this work, recently introduced corrected diffusion approximation was numerically implemented.
In particular, we implement the recently introduced corrected diffusion approximation in two spatial dimensions to model these boundary measurements.
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