A Posteriori Error Estimates for Two-Phase Obstacle Problem

Verfasser / Beitragende:
[S. Repin, J. Valdman]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/2(2015-05-01), 324-335
Format:
Artikel (online)
ID: 605522936
LEADER caa a22 4500
001 605522936
003 CHVBK
005 20210128100747.0
007 cr unu---uuuuu
008 210128e20150501xx s 000 0 eng
024 7 0 |a 10.1007/s10958-015-2374-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2374-9 
245 0 2 |a A Posteriori Error Estimates for Two-Phase Obstacle Problem  |h [Elektronische Daten]  |c [S. Repin, J. Valdman] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Repin  |D S.  |u V. A. Steklov Institute of Mathematics RAS, 27, Fontanka, 191011, St. Petersburg, Russia  |4 aut 
700 1 |a Valdman  |D J.  |u University of South Bohemia, Branišovská 31, CZ-37005, České Budějovice, Czech Republic  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 324-335  |x 1072-3374  |q 207:2<324  |1 2015  |2 207  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2374-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2374-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Repin  |D S.  |u V. A. Steklov Institute of Mathematics RAS, 27, Fontanka, 191011, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Valdman  |D J.  |u University of South Bohemia, Branišovská 31, CZ-37005, České Budějovice, Czech Republic  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 324-335  |x 1072-3374  |q 207:2<324  |1 2015  |2 207  |o 10958