Computational Mathematics (CM)
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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 ... 
Metallic microswimmers driven up the wall by gravity
(20210721)Experiments on autophoretic bimetallic nanorods propelling within a fuel of hydrogen peroxide show that tailheavy swimmers preferentially orient upwards and ascend along inclined planes. We show that such gravitaxis is ... 
On isoptics and isochordalviewed curves
(2021)In this paper, some results involving isoptic curves and constant $\phi$width curves are given for any closed curve. The nonconvex case, as well as nonsimple shapes with or without cusps are considered. Relating the ... 
Massive Database Generation for 2.5D Borehole Electromagnetic Measurements using Refined Isogeometric Analysis
(202106)Borehole resistivity measurements are routinely inverted in realtime during geosteering operations. The inversion process can be efficiently performed with the help of advanced artificial intelligence algorithms such as ... 
Geometry and tool motion planning for curvature adapted CNC machining
(2021)CNC machining is the leading subtractive manufacturing technology. Although it is in use since decades, it is far from fully solved and still a rich source for challenging problems in geometric computing. We demonstrate ...