Elisabete Alberdi

Elisabete Alberdi
Universidad del País Vasco / Euskal Herriko Unibertsitatea | UPV/EHU · Matemática Aplicada

PhD

About

56
Publications
8,384
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
220
Citations
Citations since 2016
39 Research Items
216 Citations
2016201720182019202020212022020406080
2016201720182019202020212022020406080
2016201720182019202020212022020406080
2016201720182019202020212022020406080
Introduction
Elisabete Alberdi currently works at the Department of Applied mathematics in the University of the Basque Country (Universidad del País Vasco / Euskal Herriko Unibertsitatea). Elisabete does research in Applied Mathematics. Their current project is 'MATHROCKS'.

Publications

Publications (56)
Article
This work extends an automatic energy-norm hp-adaptive strategy based on performing quasi-optimal unrefinements to the case of non-elliptic problems and goal-oriented adaptivity. The proposed approach employs a multi-level hierarchical data structure and alternates global h- and p-refinements with a coarsening step. Thus, at each unrefinement step,...
Article
Full-text available
We present FCIRK16, a 16th-order implicit symplectic integrator for long-term high-precision Solar System simulations. Our integrator takes advantage of the near-Keplerian motion of the planets around the Sun by alternating Keplerian motions with corrections accounting for the planetary interactions. Compared to other symplectic integrators (the Wi...
Preprint
Full-text available
Compared to other symplectic integrators (the Wisdom and Holman map and its higher order generalizations) that also take advantage of the hierarchical nature of the motion of the planets around the central star, our methods require solving implicit equations at each time-step. We claim that, despite this disadvantage, FCIRK16 is more efficient than...
Chapter
The main idea of our Goal-Oriented Adaptive (GOA) strategy is based on performing global and uniform h- or p-refinements (for h- and p-adaptivity, respectively) followed by a coarsening step, where some basis functions are removed according to their estimated importance. Many Goal-Oriented Adaptive strategies represent the error in a Quantity of In...
Article
Full-text available
In the current climate emergency context, many national and international organizations have adopted measures to integrate sustainability and Sustainable Development Goals (SDGs) in all their fields of action. Within education, steps have been taken to incorporate the perspective of sustainability at all levels. This process has also started at the...
Article
Full-text available
The aim of this paper is to characterize the mechanical behavior of corrugated cardboard boxes using simple models that allow an approach to the load capacity and the deformation of the boxes. This is very interesting during a box design stage, in which the box does not exist yet. On the one hand, a mathematical model of strength and deformation of...
Article
Full-text available
The growth of the renewable energy industry is happening at a swift pace pushed, by the emergence of Industry 4.0. Smart technologies like artificial intelligence (AI), Big Data, the Internet of Things (IoT), Digital Twin (DT), etc. enable companies within the sector of renewable energies to drastically improve their operations. In this sectoral co...
Article
Full-text available
Due to the importance of road transport an adequate identification of the various road network levels is necessary for an efficient and sustainable management of the road infrastructure. Additionally, traffic values are key data for any pavement management system. In this work traffic volume data of 2019 in the Basque Autonomous Community (Spain) w...
Article
Full-text available
In recent times, new learning methodologies known as student-based methodologies have been introduced to simplify the learning process for the students and facilitate the acquisition of skills for them. Among them, problem based learning (PBL) and project-based learning (PjBL) are widely used methods in the world of education. Real case solving (RC...
Article
Full-text available
The machine tool industry, which is the starting point of all the metal producing activities, is presently undergoing rapid and continuous changes as a result of the fourth industrial revolution Industry 4.0. Manufacturing models are profoundly transforming with emerging digitalization. Smart technologies like artificial intelligence (AI), big data...
Article
Full-text available
The construction sector has always occupied a strategic place in the European economy. The European construction industry suffered during the 2007–2008 global financial crisis, and today the sector is undergoing a recovery process. Among all the construction subsectors, civil engineering has the highest growth rate. Currently, the sector has to fac...
Chapter
Solving inverse problems is a crucial task in several applications that strongly affect our daily lives, including multiple engineering fields, military operations, and/or energy production. There exist different methods for solving inverse problems, including gradient based methods, statistics based methods, and Deep Learning (DL) methods. In this...
Article
Full-text available
This work presents the results obtained from a spatial modeling and analysis process on pollutants measured in the air through forty-three monitoring stations located in the three provinces of the Basque Autonomous Community (Spain). The pollutants measured correspond to the set of nitrogen oxides (nitric oxide, NO; nitrogen dioxide, NO 2 ; and nit...
Article
Full-text available
Calculating adequate vehicle routes for collecting municipal waste is still an unsolved issue, even though many solutions for this process can be found in the literature. A gap still exists between academics and practitioners in the field. One of the apparent reasons why this rift exists is that academic tools often are not easy to handle and maint...
Article
Full-text available
The food industry has recently faced rapid and constant changes due to the current industrial revolution, Industry 4.0, which has also profoundly altered the dynamics of the industry overall. Due to the emerging digitalisation, manufacturing models are changing through the use of smart technologies, such as robotics, Artificial Intelligence (AI), I...
Article
Full-text available
In the present study, the influence of the sampling density on the coestimation error of a regionalized, locally stationary and geo-mining nature variable is analyzed. The case study is two-dimensional (2D) and synthetic-type, and it has been generated using a non-conditional Sequential Gaussian Simulation (SGS), with subsequent transformation to G...
Article
Full-text available
This paper presents the implementation of interdisciplinary activities for the learning of geometry, using dynamic applets programmed in GeoGebra. These activities are developed in two basic engineering subjects: Algebra and Geometry and Graphical Expression. The activities have been proposed both in face-to-face sessions and on-line sessions, prom...
Article
Full-text available
Thanks to the digitalization of industry, maintenance is a trending topic. The amount of data available for analyses and optimizations in this field has increased considerably. In addition, there are more and more complex systems to maintain, and to keep all these devices in proper conditions, which requires maintenance management to gain efficienc...
Article
Variational space-time formulations for partial differential equations have been of great interest in the last decades, among other things, because they allow to develop mesh-adaptive algorithms. Since it is known that implicit time marching schemes have variational structure, they are often employed for adaptivity. Previously, Galerkin formulation...
Preprint
Full-text available
We present an algorithm based on continuation techniques that can be applied to solve numerically minimization problems with equality constraints. We focus on problems with a great number of local minima which are hard to obtain by local minimization algorithms with random starting guesses. We are particularly interested in the computation of minim...
Article
Full-text available
Maintenance has always been a key activity in the manufacturing industry because of its economic consequences. Nowadays, its importance is increasing thanks to the “Industry 4.0” or “fourth industrial revolution”. There are more and more complex systems to maintain, and maintenance management must gain efficiency and effectiveness in order to keep...
Article
Full-text available
In goal‐oriented adaptive algorithms for partial differential equations, we adapt the finite element mesh in order to reduce the error of the solution in some quantity of interest. In time‐dependent problems, this adaptive algorithm involves solving a dual problem that runs backward in time. This process is, in general, computationally expensive in...
Article
Full-text available
Goal-oriented adaptivity is a powerful tool to accurately approximate physically relevant solution features for partial differential equations. In time dependent problems, we seek to represent the error in the quantity of interest as an integral over the whole space–time domain. A full space–time variational formulation allows such representation....
Preprint
Full-text available
Variational space-time formulations for Partial Differential Equations have been of great interest in the last decades. While it is known that implicit time marching schemes have variational structure, the Galerkin formulation of explicit methods in time remains elusive. In this work, we prove that the explicit Runge-Kutta methods can be expressed...
Article
Full-text available
Konposizio metodoek, Ekuazio Diferentzial Arruntak (EDAak) ebazteko oinarrizko zenbakizko integrazio-metodo bat modu egokian konposatuz emaitzak hobetzeko aukera ematen dute. Bigarren ordenako zehaztasuna duen oinarrizko integratzaile simetriko bat erabiliz lortzen den konposizio metodo simetrikoei erreparatuko diegu lan honetan. Asko dira honelako...
Article
Goal-oriented adaptive algorithms produce optimal grids to solve challenging engineering problems. Recently, a novel error representation using (unconventional) pseudo-dual problems for goal-oriented adaptivity in the context of frequency-domain wave-propagation problems has been developed. In this paper, we extend this error representation to the...
Article
Vs a contribution to the improvement of the academic performance of first year students of two degrees offered at the Engineering School of Bilbao, a detailed study of the results obtained in each of the subjects based on the students’ entrance profile since the new degree programs were initiated, has been conducted. In addition to that, an analysi...
Conference Paper
Full-text available
After a short introduction to the mathematical modelling of the elastic dynamic problem, which shows the similarity between the governing Partial Differential Equations (PDEs) in different applications, common blocks for Finite Element approximation are identified, and an Object Oriented Programming (OOP) methodology for linear and non-linear, stat...
Chapter
Full-text available
MATLAB software package offers a set of open source adaptative step functions for solving Ordinary Differential Equations (ODEs) which are easy to use by non-experts. Two of these functions are the well-known ode45 and ode15s. The ode45 is adequate when solving nonstiff problems, while the ode15s is recommended for stiff problems. Due to the wide u...
Article
Full-text available
After applying the Finite Element Method (FEM) to the diffusion-type and wave-type Partial Differential Equations (PDEs), a first order and a second order Ordinary Differential Equation (ODE) systems are obtained respectively. These ODE systems usually present high stiffness, so numerical methods with good stability properties are required in their...
Article
Full-text available
The second order Ordinary Differential Equation (ODE) system obtained after semidiscretizing the wave-type partial differential equation (PDE) with the finite element method (FEM) shows strong numerical stiffness. Its resolution requires the use of numerical methods with good stability properties and controlled numerical dissipation in the high-fre...
Article
We modify the modified extended backward differentiation formulae (MEBDF) method using the numerical differential formulae (NDFs) as predictors instead of the backward differentiation formulae (BDFs). We do it in three different ways: changing both the predictors of the MEBDF, changing only the first predictor and changing only the second one. We c...
Article
After applying the Finite Element Method (FEM) to the one-dimensional diffusion-type and wave-type Partial Differential Equations (PDEs) with boundary conditions and initial conditions, a first order and a second order ODE systems are obtained respectively. The latter can be reduced to a first order ODE system. These first order ODE systems usually...
Article
We modify the EBDF method using the NDFs as predictors instead of BDFs. This modification, that we call ENDF, implies the local truncation error being smaller than that in the EBDF method without losing too much stability. We also introduce two more changes, called ENBDF and EBNDF methods. In the first one, the NDF method is used as the first predi...

Network

Cited By

Projects

Projects (2)
Project
The key objectives of the Group on Applied Mathematical Modeling, Statistics, and Optimization (MATHMODE) are: 1) Develop knowledge on the numerical simulation of ordinary and partial differential equations as well as on optimization problems and statistics. 2) Transfer this mathematical knowledge to the industry. 3) Train new researchers in the area.
Project
The main objective of this Marie Curie RISE Action is to improve and exchange interdisciplinary knowledge on applied mathematics, high performance computing, and geophysics to be able to better simulate and understand the materials composing the Earth's subsurface. This is essential for a variety of applications such as CO2 storage, hydrocarbon extraction, mining, and geothermal energy production, among others. All these problems have in common the need to obtain an accurate characterization of the Earth's subsurface, and to achieve this goal, several complementary areas will be studied, including the mathematical foundations of various high-order Galerkin multiphysics simulation methods, the efficient computer implementation of these methods in large parallel machines and GPUs, and some crucial geophysical aspects such as the design of measurement acquisition systems in different scenarios. Results will be widely disseminated through publications, workshops, post-graduate courses to train new researchers, a dedicated webpage, and visits to companies working in the area. In that way, we will perform an important role in technology transfer between the most advanced numerical methods and mathematics of the moment and the area of applied geophysics.