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Error of the Bubnov-Galerkin method for elliptic boundary-value problems

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Abstract

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.

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Authors
  1. S. G. Mikhlin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Institute im. V. A. Steklova AN SSSR, Vol. 111, pp. 137–144, 1981.

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Mikhlin, S.G. Error of the Bubnov-Galerkin method for elliptic boundary-value problems. J Math Sci 24, 89–94 (1984). https://doi.org/10.1007/BF01230269

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