Geodesic
Foundation of the synthesis method
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 70 (1977), pp. 19-48 
Yu. K. Dem'yanovich. Foundation of the synthesis method. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 70 (1977), pp. 19-48. http://geodesic.mathdoc.fr/item/ZNSL_1977_70_a2/
@article{ZNSL_1977_70_a2,
     author = {Yu. K. Dem'yanovich},
     title = {Foundation of the synthesis method},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {19--48},
     year = {1977},
     volume = {70},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_70_a2/}
}
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With the aid of the extension of the energy space, the synthesis method is interpreted in two ways: as the best approximation method and as the Galerkin–Petrov method in a new space. For elliptic problems one considers the problem of estimating the convergence rate of the mentioned method in norms which are generalizations of the Sobolev and Holder norms.