MATHMODE: Applied Mathematical Modeling, Statistics, and Optimization
Pontificia Universidad Católica de Valparaíso
Valparaíso, ChilePublikationen in Zusammenarbeit mit Forschern von Pontificia Universidad Católica de Valparaíso (16)
2024
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Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach
Computers and Mathematics with Applications, Vol. 164, pp. 139-149
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Robust Variational Physics-Informed Neural Networks
Computer Methods in Applied Mechanics and Engineering, Vol. 425
2023
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A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks
Computer Methods in Applied Mechanics and Engineering, Vol. 405
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A Deep Fourier Residual method for solving PDEs using Neural Networks
Computer Methods in Applied Mechanics and Engineering, Vol. 405
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Memory-Based Monte Carlo Integration for Solving Partial Differential Equations Using Neural Networks
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
2021
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Error control and loss functions for the deep learning inversion of borehole resistivity measurements
International Journal for Numerical Methods in Engineering, Vol. 122, Núm. 6, pp. 1629-1657
2020
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Online heart monitoring systems on the internet of health things environments: A survey, a reference model and an outlook
Information Fusion, Vol. 53, pp. 222-239
2019
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Parallel refined isogeometric analysis in 3D
IEEE Transactions on Parallel and Distributed Systems, Vol. 30, Núm. 5, pp. 1134-1142
2018
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Goal-oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation
International Journal for Numerical Methods in Engineering, Vol. 113, Núm. 1, pp. 22-42
2017
2016
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A quadrature-free method for simulation and inversion of 1.5D direct current (DC) borehole measurements
Computational Geosciences, Vol. 20, Núm. 6, pp. 1301-1318
2015
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Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation
Computers and Mathematics with Applications, Vol. 69, Núm. 9, pp. 964-979
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Semi-analytical response of acoustic logging measurements in frequency domain
Computers and Mathematics with Applications, Vol. 70, Núm. 4, pp. 314-329
2013
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Influence of borehole-eccentred tools on wireline and logging-while-drilling sonic logging measurements
Geophysical Prospecting, Vol. 61, Núm. SUPPL.1, pp. 268-283
2011
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A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D
Journal of Computational Physics, Vol. 230, Núm. 7, pp. 2406-2432
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Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method
Journal of Computational Physics, Vol. 230, Núm. 16, pp. 6320-6333