caa a22 4500 475776992 CHVBK 20180406123633.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1011130501691 doi (NATIONALLICENCE)springer-10.1023/A:1011130501691 A Posteriori Error Estimators for a Class of Variational Inequalities [Elektronische Daten] [Wenbin Liu, Ningning Yan] In this paper, we present an a posteriori error analysis for the finite element approximation of a variational inequality. We derive a posteriori error estimators of residual type, which are shown to provide upper bounds on the discretization error for a class of variational inequalities provided the solutions are sufficiently regular. Furthermore we derive sharp a posteriori error estimators with both lower and upper error bounds for a subclass of the obstacle problem which are frequently met in many physical models. For sufficiently regular solutions, these estimates are shown to be equivalent to the discretization error in an energy type norm. Our numerical tests show that these sharp error estimators are both reliable and efficient in guiding mesh adaptivity for computing the free boundaries. Plenum Publishing Corporation, 2000 finite element approximation nationallicence variational inequalities nationallicence a posteriori error estimators nationallicence obstacle problems nationallicence Liu Wenbin CBS & Institute of Mathematics and Statistics, University of Kent, CT2 7NF, Canterbury, England aut Yan Ningning Academia Sinica, Institute of Systems Science, 100080, Beijing, People's Republic of China aut Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/3(2000-09-01), 361-393 0885-7474 15:3<361 2000 15 10915 https://doi.org/10.1023/A:1011130501691 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1011130501691 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Wenbin CBS & Institute of Mathematics and Statistics, University of Kent, CT2 7NF, Canterbury, England aut NATIONALLICENCE 700 1- Yan Ningning Academia Sinica, Institute of Systems Science, 100080, Beijing, People's Republic of China aut NATIONALLICENCE 773 0- Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/3(2000-09-01), 361-393 0885-7474 15:3<361 2000 15 10915 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer