M. L. Rodríguez

M. L. Rodríguez
University of Granada | UGR · Department of Applied Mathematics

PhD

About

41
Publications
3,340
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676
Citations
Citations since 2016
6 Research Items
478 Citations
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2016201720182019202020212022020406080
2016201720182019202020212022020406080

Publications

Publications (41)
Article
Full-text available
In the current context of the climate crisis, it is essential to design buildings that can cope with climate dynamics throughout their life cycle. It will ensure the development of sustainable and resilient building stock. Thus, this study’s primary objective has been to demonstrate that the current climatic zones for buildings in peninsular Spain...
Article
Full-text available
The need for new energy sources and the problems associated with waste in the agroforestry industry are an opportunity for the recovery of this waste. For the use of this agricultural waste as energy, different pretreatments, such as torrefaction, can be carried out. Torrefaction is a thermochemical treatment involving energetic densification of bi...
Article
The objective of this work is to fill graphics of surfaces with hole-meeting shape conditions, i.e., we want to determine values of a surface inside a hole – where it is not defined – by means of its values outside the hole – where it is properly defined – in such a way that the final reconstructed surface be fair and smooth enough. The procedure c...
Article
In the framework of an elliptic partial differential equation (PDE), certain boundary conditions and a set of points to approximate in a Lipschitz domain and arbitrary dimension, we use radial basis function (RBF) techniques for the construction and characterization of discrete PDE splines. We also show convergence and derive error estimates.
Article
In the Mediterranean areas of southwest Europe, olive tree pruning residues generate substantial amounts of residual biomass. Pelleting this biomass supposes the conversion of a residue difficult to manage into an energy resource especially indicated to be used in the areas where these groves exist. The final quality of pellets varies depending on...
Article
The accuracy in assigning a climatic zone to a city is essential for studying the correct sizing of domestic hot water, heating, and cooling systems, as well as of construction materials. In Spain, the current system for allocating climate zones is one proposed by the Código Técnico de la Edificación (Technical Building Code) (CTE) and includes a m...
Article
In this work we develop a method to fill a hole in a surface, either explicit or in parametric form, or just in a set of three dimensional scattered data. We will construct a new surface which is very close to the original one where it is known and that fills the hole in a homogeneous way, in such a way that the final reconstruction is of class C1C...
Article
Haar wavelet can exactly represent any piecewise constant function. Beam and Warming proved later that the supercompact wavelets can exactly represent any piecewise polynomial function in one variable, attaining higher level of accuracy by increasing the polynomial order of the supercompact wavelets. The approach of Beam and Warming, which is based...
Conference Paper
The European Directive 2002/91/EC on the Energy Performance of Buildings (EPBD) regulates the energy rating of buildings. It has been trans- posed to Spanish legal framework through the Royal Decree 47/2007, Proced- imiento Ba ́sico para la Certificacio ́n de Eficiencia Energe ́tica de Edificios de Nueva Construccio ́n (Basic Procedure for Certific...
Article
Urban surfaces receive waste deposits from natural and human sources, which create a negative visual impact and are identified as potentially significant contributors to water and air pollution. Local councils are usually responsible for the sweep of roads and footpaths to keep the environment clean and free of litter. Quality controls are useful i...
Article
An approximation problem of parametric curves and surfaces is studied by a new kind of spline functions from some Lagrange or Hermite data set. We present an interpolation problem by minimizing a functional on a parametric finite element space in order to obtain the new notion of a spline. We call it discrete interpolating variational spline. We sh...
Article
This paper concerns about a method to fill polygonal holes in a given surface by using smoothing variational splines. We develop two different approaches of this technique: discontinuous filling and regular filling. In the discontinuous case, we fill the holes with spline functions in a finite element space that minimizes an energy functional. Such...
Article
In this paper, we propose a new approach for solving second kind Fredholm integral equation system. The method is based on the minimization of a suitable functional in a certain Sobolev space. We study the convergence of the method and we present some numerical examples in order to show the validity of the proposed method.
Article
The European Space of Higher Education (ESHE) is a new conceptual formulation of the organization of teaching at the university, largely involving the development of new training models based on the individual student?s work. In this context, the University of Granada has approved two plans of Educational Excellence to promote a culture of quality...
Article
Biomass is an abundant renewable energy source; however, because of its characteristics it is not easily used in its original form. Pelletization technology represents mass and energy densification that provides easier biomass fuel handling and feeding. A privately owned pelletization industrial plant has been set up to produce pellets from agricul...
Article
Let D⊂R2 be a polygonal domain, H be a subdomain of D and f∈C1(D¯−H∘). In this paper we propose a method to reconstruct f over the whole D¯ using a technique based on the minimization of an energy functional J. More precisely, we construct a new C1-Powell–Sabin spline function f∗ over D¯ that approximates f outside H, and fills the hole of f inside...
Article
In this paper, we present an interpolation method for curves from a data set by means of the optimization of the parameters of a quadratic functional in a space of parametric cubic spline functions. The existence and the uniqueness of this problem are shown. Moreover, a convergence result of the method is established in order to justify the method...
Conference Paper
Full-text available
The Area of Environmental Technology in Department of Civil Engineering has developed an innovation education project, entitled Application of new Information and Communication Technologies in Area of Environmental Technology teaching, to create a Web site that benefits both parties concerned in teaching-learning process, teachers and students. Her...
Article
The leachate produced at a landfill adjoining an urban waste composting and recovery plant at Alhendin (Granada, Spain) was sampled for a period of more than 3 years from February 2003 until July 2006. The main pollutant parameters (COD, BOD(5), solids, nitrogen, main anions and cations, pH, Eh and conductivity) were analysed with the aim of select...
Conference Paper
Full-text available
A comienzos del curso académico 2009/2010 impartimos un curso cero para los alumnos de nuevo ingreso en la Escuela de Arquitectura de la Universidad de Granada como proyecto piloto para consolidar de cara a la llegada del nuevo Plan de Estudios el próximo curso. Los profesores que impartimos matemáticas en esta escuela hemos observado que los alumn...
Article
Full-text available
The optimization of municipal waste collection can reduce management costs and negative impacts on the environment. This article analyzes municipal waste collection in Churriana de la Vega (Granada, Spain), and describes a way to improve waste collection service, based on the information provided by Geographic Information Systems. The results of ou...
Article
In this paper we present a method curve approximation from a given Lagrangian data set. An approximating problem of curves is obtained by minimizing a quadratic functional in a suitable space. This method is justified by a convergence result and an analysis of a numerical and graphical example.
Article
Spline quasi-interpolants on the real line are approximating splines to given functions with optimal approximation orders. They are called integral quasi-interpolants if the coefficients in the spline series are linear combinations of weighted mean values of the function to be approximated. This paper is devoted to the construction of new integral...
Article
Landfills in Venezuela have serious problems regarding their location, design and operation. In fact, basic waste disposal is one of the main weaknesses of the municipal waste management in this country. The Venezuelan Ministry of Environment and Renewable Resources has studied and identified the negative impacts of operating landfills, but no prog...
Conference Paper
Energy consumption grows year on year but present reserves of fossil fuels can only cover consumption at current rates for the next 40 years, in the case of oil, and for the next 60 in the case of natural gas. The emissions generated by the use of fossil fuels are the source of serious environmental problems which in many cases are irreversible. Th...
Article
This paper deals with the construction and characterization of discrete PDE splines on a polygonal domain. For this purpose, we need a PDE equation (usually an elliptic PDE), certain boundary conditions and a set of points to approximate. We thus demonstrate the convergence of a discrete PDE spline to a function of a fixed space in two different ca...
Article
Today's environmental policies are largely devoted to fostering the development and implementation in Europe of renewable energy technologies, such as grid-connected photovoltaic solar energy, which are being actively promoted by European Union countries. This article describes an environmental decision-support system (EDSS) for selecting optimal s...
Article
This work deals with an approximation method for multivariate functions from data constituted by a given data point set and a partial differential equation (PDE). The solution of our problem is called a PDE spline. We establish a variational characterization of the PDE spline and a convergence result of it to the function which the data are obtaine...
Conference Paper
Landfill leachates are currently one of the main problems associated with the elimination of wastes at landfills and one of the most polluting effluents. They have a complex composition, which includes dissolved organic matter, inorganic macrocomponents, heavy metals and xenobiotic organic compounds. Leachate characterization is thus an essential f...
Article
In this paper the problem of blending parametric surfaces is discussed. We present a constructing method of blending surfaces by parametric discrete interpolation PDE splines. These functions are obtained from some boundary conditions and a given interpolation data point set, by minimizing a functional associated with a partial differential equatio...
Conference Paper
This paper deals with the construction and characterization of discrete PDE splines. For this purpose, we need a PDE equation (usually an elliptic PDE), certain boundary conditions and a set of points to approximate. We give two results about the convergence of a discrete PDE spline to a function of a fixed space in two different cases: (1) when th...
Article
Full-text available
This paper deals with the construction and characterization of discrete PDE splines. For this purpose, we need a PDE equation (usually an elliptic PDE), certain boundary conditions and a set of points to approximate. We give two results about the convergence of a discrete PDE spline to a function of a fixed space in two different cases: (1) when th...
Article
Tesis Univ. Granada. Departamento de Matemática Aplicada. Leída el 13 de mayo de 2005
Article
Full-text available
This paper deals with a construction problem of free-form curves from data constituted by some approximation points and a boundary value problem for an ordinary differential equation (ODE). The solution of this problem is called an ODE curve. We discretize the problem in a space of B-spline functions. Finally, we analyze a graphical example in orde...
Conference Paper
Full-text available
This work is concerned with how we can mix conditions of both interpolation and approximation in order to find a blending surface joining two or more surfaces when approximating a given data point set, and modelled from a certain partial differential equation. We establish a variational characterization for the solution of this problem and we estab...

Questions

Question (1)
Question
I have a problem with the LS DYNA software. COuld you please let me know the main steps in order to plot a SRS (shock response spectrum) graph.
Best regards

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