Computational Mathematics (CM)
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A Finite Element based Deep Learning solver for parametric PDEs
(2021)We introduce a dynamic Deep Learning (DL) architecture based on the Finite Element Method (FEM) to solve linear parametric Partial Differential Equations(PDEs). The connections between neurons in the architecture mimic the ... 
Numerical Approaches for Loads and Motions Assessment of Floating WECs Moored by Means of Catenary Mooring Systems
(2022)Technologies for harvesting offshore renewable energy based on float ing platforms, such as offshore wind, wave and tidal energies, are currently being developed with the purpose of achieving a competitive cost of energy. ... 
Modeling extradeep electromagnetic logs using a deep neural network
(202105)Modern geosteering is heavily dependent on realtime interpretation of deep electromagnetic (EM) measurements. We have developed a methodology to construct a deep neural network (DNN) model trained to reproduce a full set ... 
Motile dislocations knead odd crystals into whorls
(20210101)The competition between thermal fluctuations and potential forces governs the stability of matter in equilibrium, in particular the proliferation and annihilation of topological defects. However, driving matter out of ... 
Majorant series for the Nbody problem
(20210101)As a followup of a previous work of the authors, this work considers uniform global timerenormalization functions for the gravitationalNbody problem. It improves on the estimates of the radii of convergence obtained ... 
Global TimeRenormalization of the Gravitational Nbody Problem
(20210101)This work considers the gravitational Nbody problem and introduces global timerenormalization functions that allow the efficient numerical integration with fixed timesteps. First, a lower bound of the radius of convergence ... 
An Algorithm based on continuation techniques for minimization problems with highly non linear equality constraints
(2021)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 ... 
Approximations for traveltime, slope, curvature, and geometrical spreading of elastic waves in layered transversely isotropic media
(202110)Each seismic body wave, including quasi compressional, shear, and converted wave modes, carries useful subsurface information. For processing, imaging, amplitude analysis, and forward modeling of each wave mode, we need ... 
Modeling the effect of flowinduced mechanical erosion during coffee filtration
(202109)The espresso extraction process involves a complex transport inside a geometrychanging porous medium. Large solid grains forming the majority of the porous medium can migrate, swell, consolidate and they can also ... 
Thermal conductivity of amorphous polymers and its dependence on molecular weight
(20210716)Thermal conductivity is an important transport property governing the performance of polymers in nonisothermal conditions. Nevertheless, its dependence on molecular weight M has not been the subject of as much attention ... 
VibrationBased SHM Strategy for a Real Time Alert System with Damage Location and Quantification
(202101)We present a simple and fully automatable vibrationbased Structural Health Monitoring (SHM) alert system. The proposed method consists in applying an Automated Frequency Domain Decomposition (AFDD) algorithm to obtain the ... 
Error Control and Loss Functions for the Deep Learning Inversion of Borehole Resistivity Measurements
(202005)Deep learning (DL) is a numerical method that approximates functions. Recently, its use has become attractive for the simulation and inversion of multiple problems in computational mechanics, including the inversion of ... 
A comparison of numerical approaches for the design of mooring systems for wave energy converters
(20200701)This paper analyses the numerical outcome of applying three different wellknown mooring design approaches to a floating wave energy converter, moored by means of four catenary lines. The approaches include: a linearized ... 
Review of systems engineering (Se) methods and their application to wave energy technology development
(20201001)The design of effective and economically viable wave energy devices involves complex decision‐making about the product based on conceptual design information, including stakeholder requirements, functions, components and ... 
Small scale experimental validation of a numerical model of the HarshLab2.0 floating platform coupled with a nonlinear lumped mass catenary mooring system
(20200315)When focusing on mooring system numerical modelling, the efforts are focused on validating models that increase the accuracy and maintain the computation time under reasonable limits. In this paper an approach for modelling ... 
Frequency domain modelling of a coupled system of floating structure and mooring Lines: An application to a wave energy converter
(20210115)Floating structures for single offshore renewable energy devices, i.e. wave energy converters, tend to be significantly smaller than those of the traditional offshore industry and the interaction between floater motions ... 
5axis doubleflank CNC machining of spiral bevel gears via customshaped tools – Part II: physical validations and experiments
(202110)Recently, a new methodology for 5axis flank computer numerically controlled (CNC) machining, called doubleflank machining, has been introduced (see “5axis doubleflank CNC machining of spiral bevel gears via customshaped ... 
VibrationBased SHM Strategy for a Real Time Alert System with Damage Location and Quantification
(20210111)We present a simple and fully automatable vibrationbased Structural Health Monitoring (SHM) alert system. The proposed method consists in applying an Automated Frequency Domain Decomposition (AFDD) algorithm to obtain the ... 
Deep learning driven selfadaptive hp finite element method
(202106)The fi nite element method (FEM) is a popular tool for solving engineering problems governed by Partial Di fferential Equations (PDEs). The accuracy of the numerical solution depends on the quality of the computational ... 
Largeoffset Pwave traveltime in layered transversely isotropic media
(20210501)Largeoffset seismic data processing, imaging, and velocity estimation require an accurate traveltime approximation over a wide range of offsets. In layered transversely isotropic media with a vertical symmetry axis, the ...