2017
Том 69
№ 7

All Issues

On minimization of one integral functional by the Ritz method

Minenko A. S.

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Abstract

Using the variational method, we investigate a nonlinear problem with a Bernoulli condition in the form of an inequality on a free boundary. We prove a solvability theorem and establish the convergence of an approximate solution obtained by the Ritz method to the exact solution in certain metrics.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 10, pp 1570-1581.

Citation Example: Minenko A. S. On minimization of one integral functional by the Ritz method // Ukr. Mat. Zh. - 2006. - 58, № 10. - pp. 1385–1394.

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