Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method. - David Pardo; Pawel Jerzy Matuszyk; Ignacio Muga; Carlos Torres-Verdín; Angel Mora 002; Victor M. Calo (J. Comput. Phys., 2011)

A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D. - J. Zitelli; Ignacio Muga; Leszek F. Demkowicz; Jayadeep Gopalakrishnan; David Pardo; Victor M. Calo (J. Comput. Phys., 2011)

The Outgoing Time-Harmonic Elastic Wave in a Half-Plane with Free Boundary. - Mario Durán; Ignacio Muga; Jean-Claude Nédélec (SIAM J. Appl. Math., 2011)

Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation. - Jayadeep Gopalakrishnan; Ignacio Muga; Nicole Olivares (SIAM J. Sci. Comput., 2014)

Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation. - Vincent Darrigrand; David Pardo; Ignacio Muga (Comput. Math. Appl., 2015)

Semi-analytical response of acoustic logging measurements in frequency domain. - Ignacio Muga; David Pardo; Pawel Jerzy Matuszyk; Carlos Torres-Verdín (Comput. Math. Appl., 2015)

Goal-Oriented p-Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem. - Vincent Darrigrand; Ángel Rodríguez-Rozas; David Pardo; Ignacio Muga (ICCS, 2017)

The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method. - Paul Houston; Ignacio Muga; Sarah Roggendorf; Kristoffer G. van der Zee (Comput. Methods Appl. Math., 2019)

The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces. - Ignacio Muga; Matthew J. W. Tyler; Kristoffer G. van der Zee (Comput. Methods Appl. Math., 2019)

Isogeometric Residual Minimization Method (iGRM) with Direction Splitting Preconditoner for Stationary Advection-Diffusion Problems. - Marcin Los; Quanling Deng; Ignacio Muga; Victor M. Calo; Maciej Paszynski (CoRR, 2019)

An adaptive stabilized finite element method based on residual minimization. - Victor M. Calo; Alexandre Ern; Ignacio Muga; Sergio Rojas (CoRR, 2019)

A Stable Discontinuous Galerkin Based Isogeometric Residual Minimization for the Stokes Problem. - Marcin Los; Sergio Rojas; Maciej Paszynski; Ignacio Muga; Victor M. Calo (ICCS (2), 2020)

Isogeometric Residual Minimization Method (iGRM) with direction splitting for non-stationary advection-diffusion problems. - Marcin Los; Judit Muñoz-Matute; Ignacio Muga; Maciej Paszynski (Comput. Math. Appl., 2020)

Isogeometric Residual Minimization Method (iGRM) for Stokes and Time-Dependent Stokes Problems. - Marcin Los; Judit Muñoz-Matute; Ignacio Muga; Maciej Paszynski (CoRR, 2020)

Data-Driven Finite Elements Methods: Machine Learning Acceleration of Goal-Oriented Computations. - Ignacio Brevis; Ignacio Muga; Kristoffer G. van der Zee (CoRR, 2020)

Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov-Galerkin, and Monotone Mixed Methods. - Ignacio Muga; Kristoffer G. van der Zee (SIAM J. Numer. Anal., 2020)

A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations. - Ignacio Brevis; Ignacio Muga; Kristoffer G. van der Zee (Comput. Math. Appl., 2021)

Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems. - Marcin Los; Ignacio Muga; Judit Muñoz-Matute; Maciej Paszynski (Comput. Math. Appl., 2021)

DGIRM: Discontinuous Galerkin based isogeometric residual minimization for the Stokes problem. - Marcin Los; Sergio Rojas; Maciej Paszynski; Ignacio Muga; Victor M. Calo (J. Comput. Sci., 2021)

Neural Control of Discrete Weak Formulations: Galerkin, Least-Squares and Minimal-Residual Methods with Quasi-Optimal Weights. - Ignacio Brevis; Ignacio Muga; Kristoffer G. van der Zee (CoRR, 2022)

An adaptive superconvergent finite element method based on local residual minimization. - Ignacio Muga; Sergio Rojas; Patrick Vega (CoRR, 2022)

A Deep Fourier Residual Method for solving PDEs using Neural Networks. - Jamie M. Taylor; David Pardo; Ignacio Muga (CoRR, 2022)

A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks. - Carlos Uriarte; David Pardo; Ignacio Muga; Judit Muñoz-Matute (CoRR, 2022)

Automatic stabilization of finite-element simulations using neural networks and hierarchical matrices. - Tomasz Sluzalec; Mateusz Dobija; Anna Paszynska; Ignacio Muga; Maciej Paszynski (CoRR, 2022)

Projection in negative norms and the regularization of rough linear functionals. - Felipe Millar; Ignacio Muga; Sergio Rojas; Kristoffer G. van der Zee (Numerische Mathematik, 2022)

An Adaptive Superconvergent Mixed Finite Element Method Based on Local Residual Minimization. - Ignacio Muga; Sergio Rojas; Patrick Vega (SIAM J. Numer. Anal., 2023)

Adaptive stabilized finite elements via residual minimization onto bubble enrichments. - José G. Hasbani; Paulina Sepúlveda; Ignacio Muga; Victor M. Calo; Sergio Rojas (Comput. Math. Appl., 2023)

Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach. - Ignacio Brevis; Ignacio Muga; David Pardo; Oscar A. Rodríguez; Kristoffer G. van der Zee (Comput. Math. Appl., 2024)

Deep Fourier Residual method for solving time-harmonic Maxwell's equations. - Jamie M. Taylor; Manuela Bastidas; David Pardo; Ignacio Muga (J. Comput. Phys., 2025)