Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods

In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large enough to stabilize the method. A central idea in the analysis is to construct an auxiliary solution from the discontinuous Galerkin solution by a simple post processing. Based on the auxiliary solution, we define the adaptive algorithm which guides to the convergence of adaptive discontinuous Galerkin methods

Inteligencia emocional y la capacidad física de resistencia aeróbica en los estudiantes del cuarto año de la Escuela Nacional de Marina Mercante Almirante Miguel Grau, Callao – 2013

La investigación titulada Inteligencia Emocional y su relación con la Capacidad Física de Resistencia Aeróbica en los estudiantes del cuarto año de la ENAMM, pretende explicar las implicancias de la inteligencia emocional en la capacidad física de resistencia aeróbica y la importancia de ambos componentes en el desarrollo y bienestar psicofísico de los estudiantes de pregrado. El objetivo principal es establecer la relación entre la inteligencia emocional y la capacidad física de resistencia aeróbica en los estudiantes del cuarto año de la ENAMM, tomando en consideración la edad, capacidad física y factores emocionales. Para el estudio se ha empleado dos instrumentos confiables y debidamente validados para su uso en el Perú: El ICE de Bar-On, adaptado por Zoila Abanto, Leonardo Higueras y Jorge Cueto; y el Test de Cooper aplicado en las diferentes federaciones deportivas e instituciones de educación superior. Para el presente procedimiento se eligió una prueba no paramétrica, asumiendo para este caso el rho de Spearman para establecer la relación entre la inteligencia emocional y la capacidad física de resistencia aeróbica en los estudiantes de la ENAMM. De acuerdo a los datos analizados con el rho de Spearman arrojan una relación negativa débil de -0,056 (donde p < de 0,05) entre la inteligencia emocional y la capacidad física de resistencia aeróbica en estudiantes de la ENAMM. Al tenerse una significancia bilateral de 0,698 la misma que está fuera del valor permitido (0,05) se acepta la hipótesis nula, en el sentido que no existe relación significativa entre ambas variables. Esto indica que muchos de los estudiantes que tienen buena capacidad física de resistencia aeróbica tienen una inteligencia emocional regular. Esto no se condice.---The investigation about the Emotional Intelligence and its relation with the Physical Aerobic Endurance Capacity in the fourth’s year students from ENAMM, pretends to explain the different implicances of the Emotional Intelligence in the Physical Aerobic endurance capacity and the importance of both components in the development and the welfare psychophysical in those students. Furthermore, the main objective of this was to establish a relationship between the Emotional Intelligence with the Physical Aerobic Endurance Capacity in Merchant Marine’s students. In addition, we should take into consideration the old, physical capacity and the emotional factors. Apart from that, for this study some truthful and validated instruments have been implemented to be used in Peru such as the ICE of Bar-On that was adapted by Zoila Abanto, Leonardo Higueras and Jorge Cueto. Moreover, another important tool was the Cooper Test that was applied in different sport federations and institutes. For this procedure a nonparametric test was chosen, assuming for this case Spearman rho to establish the relationship between emotional intelligence and physical endurance capacity in students ENAMM. According to the data analyzed with Spearman rho show a weak negative relationship -0.056 (where p <0.05) between emotional intelligence and physical endurance capacity in students ENAMM. To be a bilateral significance 0.698 it is outside the allowed value (0.05) the null hypothesis is accepted, meaning that there is no significant relationship between both variables. This indicates that many of the students who have good physical endurance capacity have regular emotional intelligence. This is not consistent. ---Keywords: Emotional Intelligence, Physical Aerobic endurance capacity, welfare psychophysical.Tesi

Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity

In this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H1 0 (­)]d and the pressure p 2 L2 0 (­). First, we analyze standard DG methods assuming that the right hand side f belongs to [H¡1(­) \ L1(­)]d. A DG method that is well de¯ned for f belonging to [H¡1(­)]d is then investigated. The methods under study include stabilized DG methods using equal order spaces and inf-sup stable ones where the pressure space is one polynomial degree less than the velocity space.Preprin

Discrete Elasticity Exact Sequences on Worsey-Farin Splits

We construct conforming finite element elasticity complexes on Worsey-Farin splits in three dimensions. Spaces for displacement, strain, stress, and the load are connected in the elasticity complex through the differential operators representing deformation, incompatibility, and divergence. For each of these component spaces, a corresponding finite element space on Worsey-Farin meshes is exhibited. Unisolvent degrees of freedom are developed for these finite elements, which also yields commuting (cochain) projections on smooth functions. A distinctive feature of the spaces in these complexes is the lack of extrinsic supersmoothness at subsimplices of the mesh. Notably, the complex yields the first (strongly) symmetric stress finite element with no vertex or edge degrees of freedom in three dimensions. Moreover, the lowest order stress space uses only piecewise linear functions which is the lowest feasible polynomial degree for the stress space

Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions

Summary We construct stable, conforming and symmetric finite elements for the mixed formulation of the linear elasticity problem in two dimensions. In our approach we add three divergence free rational functions to piecewise polynomials to form the stress finite element space. The relation with the elasticity elements and a class of generalized C 1 Zienkiewicz elements is also discussed