A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D J Zitelli, I Muga, L Demkowicz, J Gopalakrishnan, D Pardo, VM Calo Journal of Computational Physics 230 (7), 2406-2432, 2011 | 196 | 2011 |
Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation L Demkowicz, J Gopalakrishnan, I Muga, J Zitelli Computer Methods in Applied Mechanics and Engineering 213, 126-138, 2012 | 117 | 2012 |
Dispersive and dissipative errors in the DPG method with scaled norms for Helmholtz equation J Gopalakrishnan, I Muga, N Olivares SIAM Journal on Scientific Computing 36 (1), A20-A39, 2014 | 42 | 2014 |
A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations I Brevis, I Muga, KG van der Zee Computers & Mathematics with Applications 95, 186-199, 2021 | 40 | 2021 |
Influence of borehole‐eccentred tools on wireline and logging‐while‐drilling sonic logging measurements D Pardo, PJ Matuszyk, C Torres‐Verdin, A Mora, I Muga, VM Calo Geophysical Prospecting 61, 268-283, 2013 | 40 | 2013 |
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms VM Calo, A Ern, I Muga, S Rojas Computer Methods in Applied Mechanics and Engineering 363, 112891, 2020 | 39 | 2020 |
Discretization of linear problems in Banach spaces: Residual minimization, nonlinear Petrov-Galerkin, and monotone mixed methods I Muga, KG van der Zee SIAM Journal on Numerical Analysis 58 (6), 3406–3426, 2020 | 37 | 2020 |
The Helmholtz equation in a locally perturbed half-space with non-absorbing boundary M Durán, I Muga, JC Nédélec Archive for Rational Mechanics and Analysis 191, 143-172, 2009 | 35 | 2009 |
The Helmholtz equation in a locally perturbed half-plane with passive boundary M Durán, I Muga, JC Nédélec IMA Journal of Applied Mathematics 71 (6), 853-876, 2006 | 32 | 2006 |
A numerical 1.5 D method for the rapid simulation of geophysical resistivity measurements M Shahriari, S Rojas, D Pardo, A Rodríguez-Rozas, SA Bakr, VM Calo, ... Geosciences 8 (6), 225, 2018 | 25 | 2018 |
The Helmholtz equation with impedance in a half-plane M Durán, I Muga, JC Nédélec Comptes Rendus Mathematique 340 (7), 483-488, 2005 | 25 | 2005 |
Isogeometric residual minimization method (iGRM) with direction splitting for non-stationary advection–diffusion problems M Łoś, J Munoz-Matute, I Muga, M Paszyński Computers & Mathematics with Applications 79 (2), 213-229, 2020 | 22 | 2020 |
A deep Fourier residual method for solving PDEs using neural networks JM Taylor, D Pardo, I Muga Computer Methods in Applied Mechanics and Engineering 405, 115850, 2023 | 21 | 2023 |
Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation V Darrigrand, D Pardo, I Muga Computers & Mathematics with Applications 69 (9), 964-979, 2015 | 21 | 2015 |
The Helmholtz equation with impedance in a half-space M Durán, I Muga, JC Nédélec Comptes rendus. Mathématique 341 (9), 561-566, 2005 | 19 | 2005 |
Goal‐oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation V Darrigrand, Á Rodríguez‐Rozas, I Muga, D Pardo, A Romkes, ... International Journal for Numerical Methods in Engineering 113 (1), 22-42, 2018 | 17 | 2018 |
Neural control of discrete weak formulations: Galerkin, least squares & minimal-residual methods with quasi-optimal weights I Brevis, I Muga, KG van der Zee Computer Methods in Applied Mechanics and Engineering 402, 115716, 2022 | 16 | 2022 |
Isogeometric residual minimization method (iGRM) with direction splitting preconditioner for stationary advection-dominated diffusion problems VM Calo, M Łoś, Q Deng, I Muga, M Paszyński Computer Methods in Applied Mechanics and Engineering 373, 113214, 2021 | 14 | 2021 |
The discrete-dual minimal-residual method (DDMRes) for weak advection-reaction problems in Banach spaces I Muga, MJW Tyler, KG Van Der Zee Computational Methods in Applied Mathematics 19 (3), 557-579, 2019 | 14 | 2019 |
A deep double Ritz method (D2RM) for solving partial differential equations using neural networks C Uriarte, D Pardo, I Muga, J Muñoz-Matute Computer Methods in Applied Mechanics and Engineering 405, 115892, 2023 | 13 | 2023 |