Geometric diagram for representing shape quality in mesh refinement

summary:We review and discuss a method to normalize triangles by the longest-edge. A geometric diagram is described as a helpful tool for studying and interpreting the quality of triangle shapes during iterative mesh refinements. Modern CAE systems as those implementing the finite element method (FEM) require such tools for guiding the user about the quality of generated triangulations. In this paper we show that a similar method and corresponding geometric diagram in the three-dimensional case do not exist

Hamiltonian triangular refinements and space-filling curves

We have introduced here the concept of Hamiltonian triangular refinement. For any Hamiltonian triangulation it is shown that there is a refinement which is also a Hamiltonian triangulation and the corresponding Hamiltonian path preserves the nesting condition of the corresponding space-filling curve. We have proved that the number of such Hamiltonian triangular refinements is bounded from below and from above. The relation between Hamiltonian triangular refinements and space-filling curves is also explored and explained

Properties of the longest-edge n-section refinement scheme for triangular meshes,

a b s t r a c t We prove that the longest-edge n-section of triangles for n 4 produces a sequence of triangle meshes with minimum interior angle converging to zero. The so called degeneracy property of LE for n 4 is proved. © 2012 Elsevier Ltd. All rights reserved. The stability condition or non-degeneracy property means that the interior angles of all elements have to be bounded uniformly away from zero. Non-degeneracy is essential, for example, for the approximation properties of finite element spaces and the convergence behavior of multigrid and multilevel algorithms

Local refinement based on the 7-triangle longest-edge partition

The triangle longest-edge bisection constitutes an efficient scheme for refining a mesh by reducing the obtuse triangles, since the largest interior angles are subdivided. In this paper we specifically introduce a new local refinement for triangulations based on the longest-edge trisection, the 7-triangle longest-edge (7T-LE) local refinement algorithm. Each triangle to be refined is subdivided in seven sub-triangles by determining its longest edge. The conformity of the new mesh is assured by an automatic point insertion criterion using the oriented 1-skeleton graph of the triangulation and three partial division patterns

There are simple and robust refinements (almost) as good as Delaunay

A new edge-based partition for triangle meshes is presented, the Seven Triangle Quasi-Delaunay partition (7T-QD). The proposed partition joins together ideas of the Seven Triangle Longest-Edge partition (7T-LE), and the classical criteria for constructing Delaunay meshes. The new partition performs similarly compared to the Delaunay triangulation (7T-D) with the benefit of being more robust and with a cheaper cost in computation. It will be proved that in most of the cases the 7T-QD is equal to the 7T-D. In addition, numerical tests will show that the difference on the minimum angle obtained by the 7T-QD and by the 7T-D is negligible

Aplasia parcial congénita de arco posterior de atlas.

Los defectos de arco posterior de C1 son anomalías raras pero bien documentadas en la bibliografía, la mayoría de los casos son asintomáticos pero existen casos publicados de mielopatía y tetraparesia transitoria asociadas a defectos de arco posterior de atlas. Se presentan dos casos: una mujer de 31 años que presentó cérvico-braquialgia secundaria a accidente de tráfico en la que se detectó aplasia parcial de arco posterior de atlas que un año después continúa con dolor y un paciente de 28 años que sufrió accidente de tráfico en la que se detectó aplasia parcial de arco posterior de atlas. Se realiza una revisión bibliográfica.Partial aplasia of posterior arch of the atlas are rare but well documented anomalies, most cases are asymp- tomatic but cases of myelopaty and quadraparesis associa- ted to defects of posterior arch of the atlas have been publis- hed in the past. Case 1: female, 31 years old, suffered traffic accident with neck and upper limb pain. Partial aplasia of posterior arch to the atlas was detected in X-Rays, at the moment the patient continues with neck pain. Case 2: female 28 years old who referred neck pain after traffic accident, partial aplasia of posterior arch of the atlas was detected. Bibliographic review

Design of Linear Precoders for Correlated Sources in MIMO Multiple Access Channels

© 2018 IEEE. This version of the article has been accepted for publication, after peer review. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The Version of Record is available online at: https://doi.org/10.1109/TCOMM.2018.2863362[Abstract]: This paper focuses on distributed linear precoding when users transmit correlated information over a fading multiple-input and multiple-output multiple access channel. The precoders are optimized in order to minimize the sum-mean square error (MSE) between the source and the estimated symbols. When sources are correlated, minimizing the sum-MSE results in a non-convex optimization problem. The precoders for an arbitrary number of users and transmit and receive antennas are thus obtained via a projected steepest-descent algorithm and a low-complexity heuristic approach. For the more restrictive case of two single-antenna users, a closed-form expression for the minimum sum-MSE precoders is derived. Moreover, for the scenario with a single receive antenna and any number of users, a solution is obtained by means of a semi-definite relaxation. Finally, we also consider precoding schemes where the precoders are decomposed into complex scalars and unit norm vectors. Simulation results show a significant improvement when source correlation is exploited at precoding, especially for low signal-to-noise ratios and when the number of receive antennas is lower than the number of transmitting nodes.This work has been funded by Office of Naval Research Global of United States (N62909-15-1-2014), the Xunta de Galicia (ED431C 2016-045, ED341D R2016/012, ED431G/01), the Agencia Estatal de Investigación of Spain (TEC2015-69648-REDC, TEC2016-75067-C4-1-R) and ERDF funds of the EU (AEI/FEDER, UE).United States. Office of Naval Research Global of United States; N62909-15-1-2014Xunta de Galicia; ED431C 2016-045Xunta de Galicia; ED341D R2016/012Xunta de Galicia; ED431G/0

Solar coronal loops associated with small-scale mixed polarity surface magnetic fields

L. P. Chitta et. al.©2017 The American Astronomical Society. All rights reserved. How and where are coronal loops rooted in the solar lower atmosphere? The details of the magnetic environment and its evolution at the footpoints of coronal loops are crucial to understanding the processes of mass and energy supply to the solar corona. To address the above question, we use high-resolution line-of-sight magnetic field data from the Imaging Magnetograph eXperiment instrument on the Sunrise balloon-borne observatory and coronal observations from the Atmospheric Imaging Assembly onboard the Solar Dynamics Observatory of an emerging active region. We find that the coronal loops are often rooted at the locations with minor small-scale but persistent opposite-polarity magnetic elements very close to the larger dominant polarity. These opposite-polarity small-scale elements continually interact with the dominant polarity underlying the coronal loop through flux cancellation. At these locations we detect small inverse Y-shaped jets in chromospheric Ca ii H images obtained from the Sunrise Filter Imager during the flux cancellation. Our results indicate that magnetic flux cancellation and reconnection at the base of coronal loops due to mixed polarity fields might be a crucial feature for the supply of mass and energy into the corona.L.P.C. acknowledges funding by the Max-Planck-Princeton Center for Plasma Physics and funding from the European Union’s Horizon 2020 research and innovation program under Marie Skłodowska-Curie grant agreement No. 707837. The German contribution to Sunrise and its reflight was funded by the Max Planck Foundation, the Strategic Innovations Fund of the President of the Max Planck Society (MPG), DLR, and private donations by supporting members of the Max Planck Society, which is gratefully acknowledged. The Spanish contribution was funded by the Ministerio de Economía y Competitividad under Projects ESP2013-47349-C6 and ESP2014-56169-C6, partially using European FEDER funds. The HAO contribution was partly funded through NASA grant number NNX13AE95G. SDO data are the courtesy of NASA/SDO and the AIA, and HMI science teams. This work was partly supported by the BK21 plus program through the National Research Foundation (NRF) funded by the Ministry of Education of KoreaPeer reviewe

Frugivoría y dispersión de semillas por mamíferos carnívoros: rasgos funcionales

Muchas especies de mamíferos carnívoros (Orden Carnivora) consumen frutos carnosos, transportan semillas en sus tractos digestivos y las defecan sin dañarlas en condiciones apropiadas para la germinación. En este artículo, revisamos el conocimiento adquirido sobre este mutualismo en las últimas tres décadas, desde que tres trabajos pioneros revelaron la importancia de los carnívoros como dispersores de semillas en ecosistemas templados. Nos centramos en los rasgos funcionales de los carnívoros consumiendo frutos y diseminando semillas, haciendo especial énfasis en sus diferencias con las aves, el principal grupo de vertebrados frugívoros en ecosistemas templados. Los carnívoros no están sujetos a las restricciones fenológicas o morfológicas que típicamente limitan el consumo de determinados frutos en muchas especies de aves. Consumen preferentemente frutos cuyos atributos son compartidos con muchas especies de frutos cultivados por el hombre, lo que explica el consumo frecuente de éstos en paisajes antrópicos. Sus amplios requerimientos espaciales favorecen la dispersión de semillas a larga distancia, mientras que su generalismo en relación al hábitat favorece el flujo de semillas entre hábitats contrastados. De este modo, los carnívoros promueven la conectividad entre poblaciones vegetales y la colonización. Estas funciones ecológicas son clave para las comunidades vegetales nativas, especialmente en escenarios de cambios de uso de suelo. Sin embargo, estos patrones de dispersión de semillas pueden contribuir a la invasión de plantas exóticas. Aún ignoramos en gran medida el papel de los carnívoros en términos cuantitativos de la dispersión de semillas y las diferencias funcionales entre especies dentro del gremio. La integración de muestreos clásicos e innovadoras técnicas moleculares y de análisis espacial promete aportar conocimiento inédito en estas cuestiones[EN ] Many species of carnivorous mammals (Order Carnivora) consume fleshy fruits, transport seeds in their digestive tracts, and defecate them without damage in conditions that are suitable for germination. In this article, we review the state of the art on this mutualism in the past three decades, since three pioneering studies revealed the importance of carnivores as seed dispersers in temperate ecosystems. We focus on the functional traits of carnivores consuming fruits and disseminating seeds, with particular emphasis on their differences with birds, the main group of vertebrate frugivores in temperate ecosystems. Carnivores are not subject to the phenological or morphological constraints that typically limit the consumption of certain fruit species in many bird species. They preferably consume fruits whose traits are shared with many fruit species cultivated by man, which explains the frequent consumption of cultivated fruits in anthropogenic landscapes. The large spatial requirements of carnivores promote long-distance seed dispersal, while their habitat generalism promotes seed flows between contrasting habitats. Thus, carnivores promote connectivity between plant populations and colonization. These are key ecological functions for native plant communities, especially in scenarios of land-use changes. However, these seed dispersal patterns can contribute to the invasion of exotic plants. We still largely ignore the role of carnivores in quantitative terms of seed dispersal and the functional differences between species within the guild. Integrating traditional fieldwork and innovative molecular techniques and spatial analysis promises to provide unprecedented knowledge on these issuesPeer reviewe

FDD Channel Estimation Via Covariance Estimation in Wideband Massive MIMO Systems

[Abstract] A method for channel estimation in wideband massive Multiple-Input Multiple-Output systems using hybrid digital analog architectures is developed. The proposed method is useful for Frequency-Division Duplex at either sub-6 GHz or millimeter wave frequency bands and takes into account the beam squint effect caused by the large bandwidth of the signals. To circumvent the estimation of large channel vectors, the posed algorithm relies on the slow time variation of the channel spatial covariance matrix, thus allowing for the utilization of very short training sequences. This is possibledue to the exploitation of the channel structure. After identifying the channel covariance matrix, the channel is estimated on the basis of the recovered information. To that end, we propose a novel method that relies on estimating the tap delays and the gains as sociated with each path. As a consequence, the proposed channel estimator achieves low computational complexity and significantly reduces the training overhead. Moreover, our numerical simulations show better performance results compared to the minimum mean-squared error solution.Xunta de Galicia; ED431G2019/01Agencia Estatal de Investigación de España; TEC2016-75067-C4-1-RAgencia Estatal de Investigación de España; RED2018-102668-TAgencia Estatal de Investigación de España; PID2019-104958RB-C4