A Posteriori Error Estimates for Two-Phase Obstacle Problem
Gespeichert in:
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)
Online Zugang:
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| 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 | |
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| 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 | ||