caa a22 4500 605522936 CHVBK 20210128100747.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10958-015-2374-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2374-9 A Posteriori Error Estimates for Two-Phase Obstacle Problem [Elektronische Daten] [S. Repin, J. Valdman] For the two-phase obstacle problem we derive the basic error identity which yields natural measure of the distance to the exact solution. For this measure we derive a computable majorant valid for any function in the admissible (energy) class of functions. It is proved that the majorant vanishes if and only if the function coincides with the minimizer. It is shown that the respective estimate has no gap, so that accuracy of any approximation can be evaluated with any desired accuracy. Bibliography: 10 titles. Illustrations: 1 figure. Springer Science+Business Media New York, 2015 Repin S. V. A. Steklov Institute of Mathematics RAS, 27, Fontanka, 191011, St. Petersburg, Russia aut Valdman J. University of South Bohemia, Branišovská 31, CZ-37005, České Budějovice, Czech Republic aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 324-335 1072-3374 207:2<324 2015 207 10958 https://doi.org/10.1007/s10958-015-2374-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2374-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Repin S. V. A. Steklov Institute of Mathematics RAS, 27, Fontanka, 191011, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Valdman J. University of South Bohemia, Branišovská 31, CZ-37005, České Budějovice, Czech Republic aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/2(2015-05-01), 324-335 1072-3374 207:2<324 2015 207 10958