Search results for " inequality."

Thin obstacle problem : Estimates of the distance to the exact solution

2018

We consider elliptic variational inequalities generated by obstacle type problems with thin obstacles. For this class of problems, we deduce estimates of the distance (measured in terms of the natural energy norm) between the exact solution and any function that satisfies the boundary condition and is admissible with respect to the obstacle condition (i.e., they are valid for any approximation regardless of the method by which it was found). Computation of the estimates does not require knowledge of the exact solution and uses only the problem data and an approximation. The estimates provide guaranteed upper bounds of the error (error majorants) and vanish if and only if the approximation c…

Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions

2014

Abstract Let ( X , d , μ ) be a complete, locally doubling metric measure space that supports a local weak L 2 -Poincare inequality. We show that optimal gradient estimates for Cheeger-harmonic functions imply local isoperimetric inequalities.

A parabolic hemivariational inequality

1996

Numerical Algorithms Based on Characteristic Domain Decomposition for Obstacle Problems

1997

A new numerical solution algorithm for obstacle problems is proposed, where the characteristic domain decomposition into active and inactive subdomains separated by the free boundary is approximated by a Schwarz method. Such an approach gives an opportunity to apply fast linear system solvers to genuinely non-linear obstacle problems. Other solution algorithms, like projected relaxation methods and active set strategies, are compared to the new solution algorithm. Numerical experiments related to the elastoplastic torsion problem are included showing the efficiency of the new approach.

Finite element approximation of parabolic hemivariational inequalities

1998

In this paper we introduce a finite element approximation for a parabolic hemivariational initial boundary value problem. We prove that the approximate problem is solvable and its solutions converge on subsequences to the solutions of the continuous problem

The Windy clustered prize-collecting arc-routing problem

2011

This paper introduces the windy clustered prize-collecting arc-routing problem. It is an arc-routing problem where each demand edge is associated with a profit that is collected once if the edge is serviced, independent of the number of times the edge is traversed. It is further required that if a demand edge is serviced, then all the demand edges of its component are also serviced. A mathematical programming formulation is given and some polyhedral results including several facet-defining and valid inequalities are presented. The separation problem for the different families of inequalities is studied. Numerical results from computational experiments are analyzed. © 2011 INFORMS.

A funerary perspective on the Bell Beaker period in the Wester Mediterranean Reading the social context of individual burials at La Vital (Gandia, Va…

2013

[EN] The discussion about social dynamics in recent Pre- history is supported by the study of funerary practices. The presence and significance of individual and collec- tive burials in Final Neolithic/Chalcolithic societies in the southeast of the Iberian Peninsula provides new evi- dence for the debate concerning the emergence of social inequalities in this region. Our contribution is based on the recent discovery and excavation of several individual pit burials in domestic contexts at the site of La Vital (Gandía, Valencia). The particularities of the identified burials (different ritual episodes) and their content (Bell Beaker pottery, metal objects, animal offerings) together with an …

The ius liberorum of non-Roman citizens in Egypt. Some notes on an old Taubenschlag’s hypothesis

2019

Abstract Normally the ius liberorum is associated with Roman citizens, but in the lex Irnitana we have evidence of non-Roman members of the curial class of Baetica who took advantage of this privilege. In Roman Egypt, the constitution of the boulai in the nome capitals could have provided a similar context for the selection of local elites in which Romanized Egyptians obtained that privilege.

Regional inequality and economic development in Spain, 1860–2010

2016

Abstract Fifty years ago Jeffrey G. Williamson suggested that during the process of economic development regional income differences trace out an inverted U-shaped pattern. Since then several studies have tested this hypothesis. Yet, most of these only explore particular stages of development. This study, however, investigates the long-term evolution of regional income inequality. Using a novel dataset spanning 150 years, we describe per-capita GDP disparities across Spanish provinces (NUTS3) from 1860 to 2010. Moreover, to gain a deeper understanding of regional inequality, we examine other relevant dimensions: modality, mobility and spatial clustering. Overall, the findings confirm the ex…

Mapping child maltreatment risk: a 12-year spatio-temporal analysis of neighborhood influences.

2017

Abstract Background ‘Place’ matters in understanding prevalence variations and inequalities in child maltreatment risk. However, most studies examining ecological variations in child maltreatment risk fail to take into account the implications of the spatial and temporal dimensions of neighborhoods. In this study, we conduct a high-resolution small-area study to analyze the influence of neighborhood characteristics on the spatio-temporal epidemiology of child maltreatment risk. Methods We conducted a 12-year (2004–2015) small-area Bayesian spatio-temporal epidemiological study with all families with child maltreatment protection measures in the city of Valencia, Spain. As neighborhood units…