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The chosen functional of interest is the integrated pressure along a variable-area duct.
It is found that, in general, the medial axis based approaches provide optimal blocking and yields better accuracy in computing the functional of interest.
Results for a simple linear model problem of the two-dimensional heat equation demonstrate the ability of the goal-oriented approach to target a particular output functional of interest.
This general approach leads to the design of economical finite element meshes specifically tailored to the computation of the target functional of interest, as well as providing reliable and efficient error estimation.
Suppose <·, l> is a linearized functional of interest on P. Given a parameter perturbation δ p, the forward functional sensitivity is then given by < F'(p) δp, l>.
Similar(55)
A critical assumption underlying the use of functional localiser scans is that the voxels identified as the functional region-of-interest (fROI) are essentially the same as those activated by the main experimental manipulation.
First, functional regions-of-interest (ROIs) were constructed for the ACC and anterior insula.
To investigate whether sex differences in brain activation would be associated with social dominance scores, we defined functional regions-of-interest (ROI's) based on the activated regions that differentiated between men and women in the contempt vs. disgust contrast.
Functional annotation allows investigators to target specific functional signatures of interest when testing molecular markers and allows the application of the sequences in a broader range of research questions.
We defined functional regions of interest for each task in group data and then examined the functional response to the other task in these regions.
A functional localiser of these early letter-specific responses was developed for the production of functional regions of interest in future studies.
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