Reconstruction and filtering methods to reduce oscillations

ranocha / SummationByPartsOperators.jl

A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.

https://ranocha.github.io/SummationByPartsOperators.jl

MIT License

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Reconstruction and filtering methods to reduce oscillations #56

Open ranocha opened 4 years ago

ranocha commented 4 years ago

[ ] Gegenbauer reconstruction for Fourier methods, cf. Script 3.18 of Hesthaven (2018) Numerical methods for conservation laws
[ ] Some Padé reconstructions?
[x] Total variation denoising, cf. Condat (2013) A Direct Algorithm for 1-D Total Variation Denoising
[x] Total variation denoising with overlapping group sparsity, cf. Selesnick and Chen (2013)

ranocha commented 4 years ago

I'm working on it in https://github.com/ranocha/Postprocessing.jl.