Add alternative element-local mapping (to be merged before #31) #34
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
This PR adds the element-local mapping from Guba et al. (2014), which first maps the quadrature node coordinates from the reference element using a bilinear mapping based on the four corner vertices, and then projects the mapped nodes onto a sphere of radius$a$ by scaling the resulting Cartesian coordinates $\boldsymbol{x}$ by $a/\lVert\boldsymbol{x} \rVert_2$ . This is a quadrilateral version of what Michael Baldauf does for triangular grids (e.g. in this paper).