Ignacio Muga

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 29

Top Topics

Sparsity Inducing

Partial Differential Equations

Top Venues

Comput. Math. Appl.

SIAM J. Numer. Anal.

Comput. Methods Appl. Math.

Publications

Ignacio Brevis, Ignacio Muga, David Pardo, Oscar A. Rodríguez, Kristoffer G. van der Zee
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach. Comput. Math. Appl. 164 (2024)
Ignacio Brevis, Ignacio Muga, David Pardo, Oscar Rodríguez, Kristoffer G. van der Zee
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach. CoRR (2023)
Jamie M. Taylor, Manuela Bastidas, David Pardo, Ignacio Muga
Deep Fourier Residual method for solving time-harmonic Maxwell's equations. CoRR (2023)
José G. Hasbani, Paulina Sepúlveda, Ignacio Muga, Victor M. Calo, Sergio Rojas
Adaptive stabilized finite elements via residual minimization onto bubble enrichments. Comput. Math. Appl. 151 (2023)
Ignacio Muga, Sergio Rojas, Patrick Vega
An Adaptive Superconvergent Mixed Finite Element Method Based on Local Residual Minimization. SIAM J. Numer. Anal. 61 (5) (2023)
José G. Hasbani, Paulina Sepúlveda, Ignacio Muga, Victor M. Calo, Sergio Rojas
Adaptive stabilized finite elements via residual minimization onto bubble enrichments. CoRR (2023)
Carlos Uriarte, David Pardo, Ignacio Muga, Judit Muñoz-Matute
A Deep Double Ritz Method for solving Partial Differential Equations. CoRR (2022)
Ignacio Muga, Sergio Rojas, Patrick Vega
An adaptive superconvergent finite element method based on local residual minimization. CoRR (2022)
Tomasz Sluzalec, Mateusz Dobija, Anna Paszynska, Ignacio Muga, Maciej Paszynski
Automatic stabilization of finite-element simulations using neural networks and hierarchical matrices. CoRR (2022)
Jamie M. Taylor, David Pardo, Ignacio Muga
A Deep Fourier Residual Method for solving PDEs using Neural Networks. CoRR (2022)
Ignacio Brevis, Ignacio Muga, Kristoffer G. van der Zee
Neural Control of Discrete Weak Formulations: Galerkin, Least-Squares and Minimal-Residual Methods with Quasi-Optimal Weights. CoRR (2022)
Felipe Millar, Ignacio Muga, Sergio Rojas, Kristoffer G. van der Zee
Projection in negative norms and the regularization of rough linear functionals. Numerische Mathematik 150 (4) (2022)
Marcin Los, Judit Muñoz-Matute, Ignacio Muga, Maciej Paszynski
Isogeometric Residual Minimization Method (iGRM) with Direction Splitting for Non-Stationary Advection-Diffusion Problems. CoRR (2021)
Marcin Los, Ignacio Muga, Judit Muñoz-Matute, Maciej Paszynski
Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems. Comput. Math. Appl. 95 (2021)
Marcin Los, Sergio Rojas, Maciej Paszynski, Ignacio Muga, Victor M. Calo
DGIRM: Discontinuous Galerkin based isogeometric residual minimization for the Stokes problem. J. Comput. Sci. 50 (2021)
Ignacio Brevis, Ignacio Muga, Kristoffer G. van der Zee
A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations. Comput. Math. Appl. 95 (2021)
Felipe Millar, Ignacio Muga, Sergio Rojas, Kristoffer G. van der Zee
Projection in negative norms and the regularization of rough linear functionals. CoRR (2021)
Ignacio Brevis, Ignacio Muga, Kristoffer G. van der Zee
Data-Driven Finite Elements Methods: Machine Learning Acceleration of Goal-Oriented Computations. CoRR (2020)
Ignacio Muga, Kristoffer G. van der Zee
Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov-Galerkin, and Monotone Mixed Methods. SIAM J. Numer. Anal. 58 (6) (2020)
Marcin Los, Judit Muñoz-Matute, Ignacio Muga, Maciej Paszynski
Isogeometric Residual Minimization Method (iGRM) for Stokes and Time-Dependent Stokes Problems. CoRR (2020)
Marcin Los, Judit Muñoz-Matute, Ignacio Muga, Maciej Paszynski
Isogeometric Residual Minimization Method (iGRM) with direction splitting for non-stationary advection-diffusion problems. Comput. Math. Appl. 79 (2) (2020)
Marcin Los, Sergio Rojas, Maciej Paszynski, Ignacio Muga, Victor M. Calo
A Stable Discontinuous Galerkin Based Isogeometric Residual Minimization for the Stokes Problem. ICCS (2) (2020)
Ignacio Muga, Matthew J. W. Tyler, Kristoffer G. van der Zee
The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces. Comput. Methods Appl. Math. 19 (3) (2019)
Paul Houston, Ignacio Muga, Sarah Roggendorf, Kristoffer G. van der Zee
The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method. Comput. Methods Appl. Math. 19 (3) (2019)
Marcin Los, Quanling Deng, Ignacio Muga, Victor M. Calo, Maciej Paszynski
Isogeometric Residual Minimization Method (iGRM) with Direction Splitting Preconditoner for Stationary Advection-Diffusion Problems. CoRR (2019)
Victor M. Calo, Alexandre Ern, Ignacio Muga, Sergio Rojas
An adaptive stabilized finite element method based on residual minimization. CoRR (2019)
Vincent Darrigrand, Ángel Rodríguez-Rozas, David Pardo, Ignacio Muga
Goal-Oriented p-Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem. ICCS (2017)
Vincent Darrigrand, David Pardo, Ignacio Muga
Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation. Comput. Math. Appl. 69 (9) (2015)
Ignacio Muga, David Pardo, Pawel Jerzy Matuszyk, Carlos Torres-Verdín
Semi-analytical response of acoustic logging measurements in frequency domain. Comput. Math. Appl. 70 (4) (2015)
Jayadeep Gopalakrishnan, Ignacio Muga, Nicole Olivares
Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation. SIAM J. Sci. Comput. 36 (1) (2014)
David Pardo, Pawel Jerzy Matuszyk, Ignacio Muga, Carlos Torres-Verdín, Angel Mora, Victor M. Calo
Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method. J. Comput. Phys. 230 (16) (2011)
Mario Durán, Ignacio Muga, Jean-Claude Nédélec
The Outgoing Time-Harmonic Elastic Wave in a Half-Plane with Free Boundary. SIAM J. Appl. Math. 71 (2) (2011)
J. Zitelli, Ignacio Muga, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, David Pardo, Victor M. Calo
A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D. J. Comput. Phys. 230 (7) (2011)