Geodesic
Error of the Bubnov--Galerkin method for elliptic boundary-value problems
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part V, Tome 111 (1981), pp. 137-144

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In this paper the author, developing one of his own methods and making use of more refined Markov inequalities, obtains estimates for the error of the Bubnov–Galerkin method for the derivatives of the solutions of non-self-adjoint elliptic boundary-value problems. Regarding the order of accuracy, they coincide with the best known estimates of the Ritz method for the solutions of positivedefinite problems. 
@article{ZNSL_1981_111_a9,
     author = {S. G. Mikhlin},
     title = {Error of the {Bubnov--Galerkin} method for elliptic boundary-value problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {137--144},
     publisher = {mathdoc},
     volume = {111},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a9/}
}
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S. G. Mikhlin. Error of the Bubnov--Galerkin method for elliptic boundary-value problems. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part V, Tome 111 (1981), pp. 137-144. http://geodesic.mathdoc.fr/item/ZNSL_1981_111_a9/