On minimization of one integral functional by the Ritz method

  • A. S. Minenko

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.
Published
25.10.2006
How to Cite
MinenkoA. S. “On Minimization of One Integral Functional by the Ritz Method”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 10, Oct. 2006, pp. 1385–1394, https://umj.imath.kiev.ua/index.php/umj/article/view/3540.
Section
Research articles