Geodesic
Spline-wavelet coarsening of Courant-type approximations
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 77-110

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Spline-wavelet coarsening of Courant-type approximations (not necessarily piecewise-linear) is considered, and the wavelet decomposition of the corresponding embedded spaces is constructed. The coarsening suggested possesses the property of structure invariance and can be used for obtaining wavelet packages. The results presented are illustrated on model examples. 
@article{ZNSL_2013_419_a5,
     author = {Yu. K. Dem'yanovich and L. M. Romanovskiǐ},
     title = {Spline-wavelet coarsening of {Courant-type} approximations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--110},
     publisher = {mathdoc},
     volume = {419},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a5/}
}
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Yu. K. Dem'yanovich; L. M. Romanovskiǐ. Spline-wavelet coarsening of Courant-type approximations. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 77-110. http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a5/