Diego Paredes

Diego Paredes
University of Concepción · Departamento de Ingeniería Matemática

D.Sc. Computational Modeling

About

15
Publications
2,761
Reads
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273
Citations
Citations since 2016
9 Research Items
249 Citations
2016201720182019202020212022010203040
2016201720182019202020212022010203040
2016201720182019202020212022010203040
2016201720182019202020212022010203040
Additional affiliations
March 2019 - present
University of Concepción
Position
  • Professor (Assistant)
August 2014 - February 2019
Pontificia Universidad Católica de Valparaíso
Position
  • Professor (Assistant)
May 2014 - August 2014
National Institute for Research in Computer Science and Control
Position
  • PostDoc Position
Education
March 2009 - July 2013
Laboratório Nacional de Computação Científica
Field of study
  • Applied Mathematics
March 2005 - December 2007
University of Concepción
Field of study
  • Mathematics

Publications

Publications (15)
Article
The objective of this study was to identify transcripts or hormone-based biomarkers to define the physiological age of ′ Hass ′ avocado fruit and to elucidate the changes at the level of metabolic pathways and their regulation. ′ Hass ′ avocado fruit from orchards in different agroclimatic zones were collected during two harvest periods. Fruit were...
Article
The aim of this study was to model Chilean “Hass” avocado softening behaviour, destined to local and distant markets, taking into account the biological variation given by growing location and harvest stages. A total of 24 batches were obtained during the season 2018–2019 from different agro-climatic zones (coast, intermediate and interior) and two...
Article
Full-text available
This work extends the general form of the multiscale hybrid-mixed (MHM) method for the second-order Laplace (Darcy) equation to general non-conforming polygonal meshes. The main properties of the MHM method, i.e., stability, optimal convergence, and local conservation, are proven independently of the geometry of the elements used for the first leve...
Preprint
Full-text available
This work extends the general form of the Multiscale Hybrid-Mixed (MHM) method for the second-order Laplace (Darcy) equation to general non-conforming polygonal meshes. The main properties of the MHM method, i.e., stability, optimal convergence, and local conservation, are proven independently of the geometry of the elements used for the first leve...
Article
Full-text available
In this work, we address time-dependent wave propagation problems with strong multiscale features (in space and time). Our goal is to design a family of innovative high-performance numerical methods suitable for the simulation of such multiscale problems. Particularly, we extend the Multiscale Hybrid-Mixed finite element method (MHM for short) for...
Article
Full-text available
The family of Multiscale Hybrid-Mixed (MHM) finite element methods has received considerable attention from the mathematics and engineering community in the last few years. The MHM methods allow solving highly heterogeneous problems on coarse meshes while providing solutions with high-order precision. It embeds independent local problems which are...
Technical Report
Full-text available
In this work, we address time dependent wave propagation problems with strong multiscale features (in space and time). Our goal is to design a family of innovative high performance numerical methods suitable to the simulation of such multiscale problems. Particularly, we extend the Multiscale Hybrid-Mixed finite element method (MHM for short) for t...
Article
Full-text available
In this work we prove uniform convergence of the Multiscale Hybrid-Mixed (MHM for short) finite element method for second order elliptic problems with rough periodic coefficients. The MHM method is shown to avoid resonance errors without adopting oversampling techniques. In particular, we establish that the discretization error for the primal varia...
Article
Full-text available
A new family of finite element methods, named Multiscale Hybrid-Mixed method (or MHM for short), aims to solve reactive-advective dominated problems with multiscale coefficients on coarse meshes. The underlying upscaling procedure transfers to the basis functions the responsibility of achieving high orders of accuracy. The upscaling is built inside...
Article
Full-text available
This work presents a priori and a posteriori error analyses of a new multiscale hybrid-mixed method (MHM) for an elliptic model. Specially designed to incorporate multiple scales into the construction of basis functions, this finite element method relaxes the continuity of the primal variable through the action of Lagrange multipliers, while assuri...
Article
A Galerkin enriched finite element method (GEM) is proposed for the singularly perturbed reaction–diffusion equation. This new method is an improvement on the Petrov–Galerkin enriched method (PGEM), where now the standard piecewise (bi)linear test space incorporates fine scales. This appears as the fundamental ingredient for suppressing oscillation...
Article
Full-text available
The development of new numerical methods is of great importance in computational science. Due to their many appealing properties, Finite Element (FEMs), Finite Volume (FVMs) and Finite Difference (DFMs) methods are of particular interest, with a very large number of journal articles devoted to them. Unfortunately, these methods can be time consumin...

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Projects

Projects (4)
Project
The PHOTOM project aims at developing, analyzing and performing parallel implementations of innovative multiscale finite element methods for wave propagation models in grating media motivated by its use in the simulation of photovoltaic solar cells. This two-year international collaboration involves universities and research laboratories from Brazil, Chile, and France.
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.
Project
The general scientific context of the collaboration proposed in the HOMAR project is the study of time dependent wave propagation problems presenting multiscale features (in space and time). The general goal is the design, analysis and implementation of a family of innovative high performance numerical methods particularly well suited to the simulation of such multiscale wave propagation problems. Mathematical models based on partial differential equations (PDE) embedding multiscale features occur in a wide range of scientific and technological applications involving wave propagation in heterogeneous media. Electromagnetic wave propagation and seismic wave propagation are two relevant physical physical settings that will be considered in the project. Indeed, the present collaborative project will focus on two particular application contexts: the interaction of light (i.e. optical wave) with nanometer scale structure (i.e. nanophotonics) and, the interaction of seismic wave propagation with geological media for quantitative and non destructive evaluation of imperfect interfaces.