Constraint Points Within Wendland Radius

[55mmm]

Hello,

Task 2.2 states "If no constraint points are within wendlandRadius of the evaluation grid point, you can assign a large positive (outside) value to the grid point."

I would argue that if some points are found within the radius, but less than the size of the polynomial basis, the system on slides 16-19 from the exercise session becomes underdetermined. Is it correct to also assign a large positive value to the grid point in that case?

Thanks, Michael

[segaviv]

Hi Michael,

Assigning a large positive value when the system is underconstrained might introduce some inaccuracies to the approximation. A better solution could be to use a lower-degree polynomial approximation for such cases, and only assign a large positive value when there are no points within the Wendland radius.