caa a22 4500 378939912 CHVBK 20180305123649.0 cr unu---uuuuu 161128e20041001xx s 000 0 eng 10.1515/1569398042395970 doi (NATIONALLICENCE)gruyter-10.1515/1569398042395970 Frolov M. E. St. Petersburg State Polytechnic University, St. Petersburg 195251, Russia On efficiency of the dual majorant method for the quality estimation of approximate solutions of fourth-order elliptic boundary value problems [Elektronische Daten] [M. E. Frolov] Using the example of the fourth-order classical boundary value problem, we investigate one of the approaches to the construction of a posteriori estimates of the accuracy of approximate solutions. The emphasis is made on the justification of the effectiveness of the method proposed. The respective conclusions of the theoretical part of the paper are confirmed by a series of numerical experiments. Copyright 2004, Walter de Gruyter Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/5(2004-10-01), 407-418 0927-6467 19:5<407 2004 19 rnam https://doi.org/10.1515/1569398042395970 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569398042395970 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Frolov M. E. St. Petersburg State Polytechnic University, St. Petersburg 195251, Russia NATIONALLICENCE 773 0- Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/5(2004-10-01), 407-418 0927-6467 19:5<407 2004 19 rnam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter