Computational Mathematics (CM)
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ExplicitinTime Variational Formulations for GoalOriented Adaptivity
(201910)GoalOriented Adaptivity (GOA) is a powerful tool to accurately approximate physically relevant features of the solution of Partial Differential Equations (PDEs). It delivers optimal grids to solve challenging engineering ... 
Portable simulation framework for diffusion MRI
(Journal of Magnetic Resonance, 20190923)The numerical simulation of the diffusion MRI signal arising from complex tissue microstructures is helpful for understanding and interpreting imaging data as well as for designing and optimizing MRI sequences. The ... 
Variational Formulations for Explicit RungeKutta Methods
(Finite Elements in Analysis and Design, 201908)Variational spacetime formulations for partial di fferential equations have been of great interest in the last decades, among other things, because they allow to develop meshadaptive algorithms. Since it is known ... 
Using Covariance Matrix Adaptation Evolutionary Strategy to boost the search accuracy in hierarchic memetic computations
(Journal of Computational Science, 201904)Many global optimization problems arising naturally in science and engineering exhibit some form of intrinsic illposedness, such as multimodality and insensitivity. Severe illposedness precludes the use of standard ... 
Snapshots location for Reduced Order Models: An approach based on Proper Orthogonal Decomposition and Mesh Adaptivity Techniques
(20190628)Solving Partial Differential Equations (PDE), is a key issue in science and engineering since they are widely used in many real problem modelling including fluid mechanics, acoustics, heat and mass transfer ...etc. Exact ... 
Mesoscopic modelling and simulation of espresso coffee extraction
(Journal of Food Engineering, 2019)A mesoscopic model for the simulation of espresso extraction based on the Smoothed Particle Hydrodynamics method is presented. The model incorporates some essential features such as bimodal granulometry (finescoarses) of ... 
Reducing variability in the cost of energy of ocean energy arrays
(Renewable and Sustainable Energy Reviews, 201909)Variability in the predicted cost of energy of an ocean energy converter array is more substantial than for other forms of energy generation, due to the combined stochastic action of weather conditions and failures. If the ... 
ForwardinTime GoalOriented Adaptivity
(International Journal for Numerical Methods in Engineering, 201903)In goaloriented 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 timedependent problems, this adaptive ... 
Accessibility for LineCutting in Freeform Surfaces
(ComputerAided Design, 20190426)Manufacturing techniques such as hotwire cutting, wireEDM, wiresaw cutting, and flank CNC machining all belong to a class of processes called linecutting where the cutting tool moves tangentially along the reference ... 
Adjointbased formulation for computing derivatives with respect to bed boundary positions in resistivity geophysics
(Computational Geosciences, 201902)In inverse geophysical resistivity problems, it is common to optimize for specific resistivity values and bed boundary positions, as needed, for example, in geosteering applications. When using gradientbased inversion ... 
A C0 interior penalty discontinuous Galerkin method for fourth‐order total variation flow I: Derivation of the method and numerical results
(NMPDE:Numerical Methods For Partial Differential Equations, 20190223)We consider the numerical solution of a fourth‐order total variation flow problem representing surface relaxation below the roughening temperature. Based on a regularization and scaling of the nonlinear fourth‐order parabolic ... 
A C 0 interior penalty discontinuous Galerkin Method for fourthorder total variation flow. II: Existence and uniqueness
(NMPDE:Numerical Methods For Partial Differential Equations, 20190225)We prove the existence and uniqueness of a solution of a C0 Interior Penalty Discontinuous Galerkin (C0 IPDG) method for the numerical solution of a fourth‐order total variation flow problem that has been developed in part ... 
Parallel refined Isogeometric Analysis in 3D
(IEEE Transactions on Parallel and Distributed Systems, 201811)We study threedimensional isogeometric analysis (IGA) and the solution of the resulting system of linear equations via a direct solver. IGA uses highly continuous $C^{p1}$ basis functions, which provide multiple benefits ... 
Asymptotic Models for the Electric Potential across a Highly Conductive Casing
(Computers and Mathematics with Applications, 201807)We analyze a configuration that involves a steelcased borehole, where the casing that covers the borehole is considered as a highly conductive thin layer. We develop an asymptotic method for deriving reduced problems ... 
On initialization of milling paths for 5axis flank CNC machining of freeform surfaces with general milling tools
(Computer Aided Geometric Design (CAGD, Elsevier), 20190327)We propose a pathplanning algorithm for 5axis flank CNC machining with general tools of varying curvature. Our approach generalizes the initialization strategy introduced for conical tools [Bo et al., 2017] to arbitrary ... 
A spacetime DPG method for the wave equation in multiple dimensions
(RICAM book series, 2019)A spacetime discontinuous Petrov–Galerkin (DPG) method for the linear wave equation is presented. This method is based on a weak formulation that uses a broken graph space. The wellposedness of this formulation is ... 
Fast inversion of loggingwhiledrilling resistivity measurements acquired in multiple wells
(Geophysics, 201610)This paper introduces a new method for the fast inversion of borehole resistivity measurements acquired in multiple wells using loggingwhiledrilling (LWD) instruments. There are two key novel contributions. First, we ... 
Finite element approximation of electromagnetic fields using nonfitting meshes for Geophysics
(SIAM Journal on Numerical Analysis, 201807)We analyze the use of nonfitting meshes for simulating the propagation of electromagnetic waves inside the earth with applications to borehole logging. We avoid the use of parameter homogenization and employ standard edge ... 
TimeDomain GoalOriented Adaptivity Using PseudoDual Error Representations
(Computer Methods in Applied Mechanics and Engineering, 201712)Goaloriented adaptive algorithms produce optimal grids to solve challenging engineering problems. Recently, a novel error representation using (unconventional) pseudodual problems for goaloriented adaptivity in the ... 
ExplicitinTime GoalOriented Adaptivity
(Computer Methods in Applied Mechanics and Engineering, 20190415)Goaloriented 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 ...