Add smoothing based on Chebyshev polynomials of the fourth kind #856
Conversation
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Variant 2: Standard, 1st Kind Chebyshev smoothing with $D^{-1}A$.
No restriction on the Chebyshev order.
Variant 3: 4th Kind Chebyshev smoother with $D^{-1}A$.
No restriction on the Chebyshev order.
Variant 4: Optimized 4th Kind Chebyshev smoother with $D^{-1}A$.
Chebyshev order must be in [1,16] due to needing to compute the
$\beta_k$ coefficients.
Variants 3-4 are from https://arxiv.org/pdf/2202.08830.pdf.
These correspond to relaxation type 16.
In addition, relaxation type 19 has been implemented as a "no-op"
smoother. This can be used in the case a user wishes to omit the post
smoothing step, for example.
MalachiTimothyPhillips
changed the title
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
2 participants
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Outdated suggestions cannot be applied.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.
Closes #862
Variant 2: Standard, 1st Kind Chebyshev smoothing with$D^{-1}A$ . No restriction on the Chebyshev order.
Variant 3: 4th Kind Chebyshev smoother with$D^{-1}A$ . No restriction on the Chebyshev order.
Variant 4: Optimized 4th Kind Chebyshev smoother with$D^{-1}A$ . Chebyshev order must be in [1,16] due to needing to compute the $\beta_k$ coefficients.
Variants 3-4 are from https://arxiv.org/pdf/2202.08830.pdf.
These correspond to relaxation type 16.
In addition, relaxation type 19 has been implemented as a "no-op" smoother. This can be used in the case a user wishes to omit the post smoothing step, for example.
p.s.: I'm happy to walk through these changes "offline" on a zoom call.