Computational Mathematics (CM)
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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 ... 
Fast Simulation of 2.5D LWD Resistivity Tools
(201706)As a first step towards the fast inversion of geophysical data, in this work we focus on the rapid simulations of 2.5D loggingwhiledrilling (LWD) borehole resistivity measurements. Given a commercial logging instrument ... 
3D hpAdaptive Finite Element Simulations of Bend, Step, and MagicT Electromagnetic Waveguide Structures
(201403)Metallic rectangular waveguides are often the preferred choice on telecommunication systems and medical equipment working on the upper microwave and millimeter wave frequency bands due to the simplicity of its geometry, ... 
Refined isogeometric analysis for generalized Hermitian eigenproblems
(202104)We use refined isogeometric analysis (rIGA) to solve generalized Hermitian eigenproblems (Ku = λMu). rIGA conserves the desirable properties of maximumcontinuity isogeometric analysis (IGA) while it reduces the solution ... 
A blackbox optimization of volumetric heating rate for reducing the wetness of the steam flow through turbine blades
(202101)This paper proposes to use a blackbox optimization to obtain the optimal volumetric heating required to reduce the wetness at the last stages of steam turbines. For this purpose, a global multiobjective optimization is ... 
Numerical Investigation of Wet Inflow in Steam Turbine Cascades Using NURBSbased Mesh Generation Method
(2020)In this paper, the impact of existence of wetness in the inflow of stationary cascades of steam turbine blades has been numerically investigated. A new mesh generation method based on nonuniform rational Bsplines (NURBS) ... 
Dynamics and rheology of a suspension of superparamagnetic chains under the combined effect of a shear flow and a rotating magnetic field
(2021)This study presents an analysis of the dynamics of a single and multiple chains of spherical superparamagnetic beads suspended in a Newtonian fluid under the combined effect of an external rotating magnetic field and a ... 
Compensation effect analysis in DIE method for throughcasing measuring formation resistivity
(201108)The measuring technique based on DoubleInjectionElectrodes (DIE) and its compensation arithmetic method have been proven to be very useful for eliminating the errors caused by electrodescale mechanical tolerances in ... 
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 ... 
A QuadratureFree Method for Simulation and Inversion of 1.5D Direct Current (DC) Borehole Measurements
(201612)Resistivity inverse problems are routinely solved in order to characterize hydrocarbon bearing formations. They often require a large number of forward problems simulations. When considering a one dimensional (1D) planarly ... 
FAST AND AUTOMATIC INVERSION OF LWD RESISTIVITY MEASUREMENTS FOR PETROPHYSICAL INTERPRETATION
(201507)This paper describes an extension of a recently developed fast inversion method (Pardo and TorresVerdÍn (2015)) for estimating a layerbylayer electric resistivity distribution from loggingwhiledrilling (LWD) electromagnetic ... 
1.5D BASED INVERSION OF LOGGINGWHILEDRILLING RESISTIVITY MEASUREMENTS IN 3D FORMATIONS
(201706)This manuscript describes an extension of a computer method developed for the fast inversion of loggingwhiledrilling (LWD) resistivity measurements Pardo and TorresVerdín (2015); Bakr et al. (2016). The method enables ... 
Fast 1D Inversion of LoggingWhileDrilling Resistivity Measurements for Improved Estimation of Formation Resistivity in HighAngle and Horizontal Wells
(201412)We have developed an efficient inversion method to estimate layerbylayer electric resistivity from loggingwhiledrilling electromagnetic induction measurements. The method assumes a 1D model based on planarly layered ... 
Influence of boreholeeccentred tools on wireline and loggingwhiledrilling sonic logging measurements
(201306)We describe a numerical study to quantify the influence of tooleccentricity on wireline and loggingwhiledrilling (LWD) sonic logging measurements. Simulations are performed with a hpadaptive Fourier FiniteElement ... 
New post processing method for interpretation of through casing resistivity (TCR) measurements
(201103)We propose a new iterative method for post processing through casing resistivity (TCR) measurements. This method can be seen as a correction or extension of Kaufman´s theory to more complex scenarios, in which the casing ... 
Sensitivity Analysis for the Appraisal of Hydrofractures in Horizontal Wells with Borehole Resistivity Measurements
(201306)This paper numerically evaluates the possibility of using borehole electromagnetic (EM) measurements to diagnose and quantify hydraulic fractures that have been arti ficially generated in a horizontal well. Hydrofractures ... 
A Simulation Method for the Computation of the E
(202103)We propose a set of numerical methods for the computation of the frequencydependent eff ective primary wave velocity of heterogeneous rocks. We assume the rocks' internal microstructure is given by microcomputed tomography ... 
Goaloriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
(202103)We propose a goaloriented meshadaptive algorithm for a finite element method stabilized via residual minimization on dual discontinuousGalerkin norms. By solving a saddlepoint problem, this residual minimization delivers ... 
A conservative lubrication dynamics method for the simulation of dense noncolloidal suspensions with particle spin
(20210215)In this paper, a novel Fast Lubrication Dynamics method that can efficiently simulate dense noncolloidal suspensions is proposed. To reduce the computational cost in the presented methodology, interparticle lubricationbased ... 
Rational approximation of Pwave kinematics — Part 2: Orhorhombic media
(202009)Orthorhombic anisotropy is a modern standard for 3D seismic studies in complex geologic settings. Several seismic data processing methods and wave propagation modeling algorithms in orthorhombic media rely on phasevelocity, ...