A Finite Element Numerical Algorithm for Modelling and Data Fitting in Complex Systems

Numerical modelling methodologies are important by their application to engineering and scientific problems, because there are processes where analytical mathematical expressions cannot be obtained to model them. When the only available information is a set of experimental values for the variables that determine the state of the system, the modelling problem is equivalent to determining the hyper-surface that best fits the data. This paper presents a methodology based on the Galerkin formulation of the finite elements method to obtain representations of relationships that are defined a priori, between a set of variables: y = z(x1, x2,...., xd). These representations are generated from the values of the variables in the experimental data. The approximation, piecewise, is an element of a Sobolev space and has derivatives defined in a general sense into this space. The using of this approach results in the need of inverting a linear system with a structure that allows a fast solver algorithm. The algorithm can be used in a variety of fields, being a multidisciplinary tool. The validity of the methodology is studied considering two real applications: a problem in hydrodynamics and a problem of engineering related to fluids, heat and transport in an energy generation plant. Also a test of the predictive capacity of the methodology is performed using a cross-validation method.

A Simple RVoG Test for PolInSAR Data

In this paper, we present a simple algorithm for assessing the validity of the RVoG model for PolInSAR-based inversion techniques. This approach makes use of two important features characterizing a homogeneous random volume over a ground surface, i.e., the independence on polarization states of wave propagation through the volume and the structure of the polarimetric interferometric coherency matrix. These two features have led to two different methods proposed in the literature for retrieving the topographic phase within natural covers, i.e., the well-known line fitting procedure and the observation of the (1, 2) element of the polarimetric interferometric coherency matrix. We show that differences between outputs from both approaches can be interpreted in terms of the PolInSAR modeling based on the Freeman-Durden concept, and this leads to the definition of a RVoG/non-RVoG test. The algorithm is tested with both indoor and airborne data over agricultural and tropical forest areas.

Health-Sector Responses to Intimate Partner Violence Fitting the Response Into the Biomedical Health System or Adapting the System to Meet the Response?

This study aims to analyze how middle-level health systems’ managers understand the integration of a health care response to intimate partner violence (IPV) within the Spanish health system. Data were obtained through 26 individual interviews with professionals in charge of coordinating the health care response to IPV within the 17 regional health systems in Spain. The transcripts were analyzed following grounded theory in accordance with the constructivist approach described by Charmaz. Three categories emerged, showing the efforts and challenges to integrate a health care response to IPV within the Spanish health system: “IPV is a complex issue that generates activism and/or resistance,” “The mandate to integrate a health sector response to IPV: a priority not always prioritized,” and “The Spanish health system: respectful with professionals’ autonomy and firmly biomedical.” The core category, “Developing diverse responses to IPV integration,” crosscut the three categories and encompassed the range of different responses that emerge when a strong mandate to integrate a health care response to IPV is enacted. Such responses ranged from refraining to deal with the issue to offering a women-centered response. Attempting to integrate a response to nonbiomedical health problems as IPV into health systems that remain strongly biomedicalized is challenging and strongly dependent both on the motivation of professionals and on organizational factors. Implementing and sustaining changes in the structure and culture of the health care system are needed if a health care response to IPV that fulfills the World Health Organization guidelines is to be ensured.