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Ignacio Patricio Muga Urquiza

Profesor Titular

Pontificia Universidad Católica de Valparaíso

Valparaiso, Chile

Numerical Analysis, Mathematical Modeling, Scientific Computing.

Ciencias de la Ingeniería, UNIVERSIDAD DE CHILE. Chile, 2005
Matemáticas, PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO. Chile, 1999

Profesor Titular Full Time

PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO

Facultad de Ciencias

Valparaiso, Chile

2006 - At present

Direcciones de Tesis

Doctorado

Felipe Millar Vásquez (en curso). Programa de Doctorado en Matemáticas en Consorcio PUCV-UTFSM-UV.

Sergio Rojas Hernández. “ANALYTICAL AND SEMI-ANALYTICAL APPROACHES FOR ELECTROMAGNETIC PROBLEMS OVER LAYERED MEDIA.” Doctorado en Ciencias de la Ingeniería, Pontificia Universidad Católica de Chile, 2017.

Magister

Gabriel Pinochet Soto, "Semi-Analytical Solutions for Asymptotic Models for the Electric Potential Problem across Highly Conductive Casings". Pontificia Universidad Católica de Valparaíso. 2021.

Víctor Trujillo Radrigán, “A Multi-scale method for solving linear PDEs in layered media.” Pontificia Universidad Católica de Valparaíso. 2018.

Elizabeth Aviles Rieloff. “Compendium of Results for the Helmholtz Equation in Different Types of Domains”. Pontificia Universidad Católica de Valparaíso. 2009.

Gonzalo Espinoza Vásquez. “The Helmholtz equation in a half-plane with a simple local perturbation”. Pontificia Universidad Católica de Valparaíso. 2009.

Juan Herrera Tobar. “Effective computation of the Green’s function associated with two electromagnetic half-spaces”. Pontificia Universidad Católica de Valparaíso. 2009.

Cristina Valenzuela Donoso. “Numerical Computation of Eigenfrequencies by Integral Equations”. Pontificia Universidad Católica de Valparaíso. 2008.

Wilmer Bazán. “Numerical Computation of the DtN Operator for the Helmholtz Equation in a Perturbed Half-Space”. Pontificia Universidad Católica de Valparaíso. 2008.

Aldo Cabrera Bianchetti. “Computation of Resonant Frequencies at the interior of a Harbour by Applying and Simulating a Mathematical Model.Pontificia Universidad Católica de Valparaíso. 2007.

Talks

2023
Title: Neural Control of Discrete Weak Formulations
Venue: Workshop in Honor of Leszek F. Demkowicz’s 70th Birthday, Oden Institute, The University of Texas at Austin, April 11, 2023.

2022
Title: Neural Control: Improving the Quality of Finite-Element Solutions. Venue: @XC Encuentro Anual SOMACHI, Punta de Tralca, Chile, 8th December, 2022.

Title: Neural Control: Improving the Quality of Finite-Element Solutions. Venue: @Workshop on Scientific Machine Learning. PUC Santiago 29-30 November 2022.

Coloquio Departamento de Matemáticas, Universidad de La Serena, Noviembre 2022: https://www.youtube.com/watch?v=qrZgpLmS9Kk

Title: Neural Control of Discrete Weak Formulations of PDEs. Venue: Workshop on Minimum Residual & Least-Squares Finite Element Methods. PUC Santiago, Chile, October 5-7, 2022.

Title: Neural Control of Discrete Weak Formulations of PDEs. Venue: @XLVIII Semana de la Matemática, IMA-PUCV, Valparaíso, Chile, 12th October, 2022.

Cursillo "Resolviendo EDPs con redes neuronales". @XLVIII Semana de la Matemática, IMA-PUCV, Valparaíso, Chile, October, 2022.

Title: Regularization of rough linear functionals & Adaptivity. Venue: September 29, 2022, @ECCOMAS, Oslo, Norway.

Title: Neural Control of Discrete Weak Formulations of PDEs. Venue: @University of Nottingham, 29th June, 2022.

Title: Neural Control of Discrete Weak Formulations of PDEs. Venue: @University of Birmingham, 28th June 2022.

Title: Neural Control of Discrete Weak Formulations of PDEs. Venue: @Imperial College London, 24th June, 2022.

Title: Learning optimal test functions for Goal-Oriented FEM. Venue: ICCS 2022, Brunel University London, 21st June, 2022.

2021
Title: Regularization of rough linear functionals & Adaptivity. Venue: HPC, Deep Learning & Numerics in Geophysics, BCAM, Bilbao, Nov. 18, 2021.

Title: Learning optimal test functions for goal-oriented FEM. Venue: Congreso de Matemática Capricornio, COMCA 2021 (Online, July 30, 2021).

Title: Learning optimal test functions for goal-oriented problems. Venue: Numerical and Applied Analysis Seminar, University of Nottingham (Online, March 31, 2021).

Title: Projection in negative norms and the regularization of rough linear functionals. Venue: SIAM Conference on Computational Science and Engineering 2021 (Online, March 5, 2021).

Title: A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations. Venue: A2S Group Seminar, AGH University of Science and Technology (Online, Jan 28, 2021).

2020
Title: A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations. Venue: Workshop on Simulation and Inversion Methods in Geophysics (online, 5-6 nov, 2020).

2019
Title: Projection in negative norms & the regularization of rough linear functionals. Venue: 6th Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2019), Concepción, Chile.

Title: Projection in negative norms & the regularization of rough linear functionals (Poster). Venue: Workshop on Computational Modeling and Numerical Analysis (WCMNA 2019), Florianópolis, Brasil.

Title: Minimización residual discreta para advección-reacción en espacios de Banach. Venue: XXXII Jornada Matemática de la Zona Sur, Punta Arenas, Chile.

Title: Why the residual minimization approach Works for stabilized dG formulations? Venue: IX Congreso Internacional de Matemática Aplicada y Computacional, Lima, Perú.

Title: A DG-based stabilized residual minimization technique. Venue: 4th Workshop on Minimum Residual & Least-Squares Finite Element Methods, Berlín, Alemania.

Title: A DG-based stabilized residual minimization technique. Venue: French Latin-American Conference on New Trends in Applied Mathematics, Santiago, Chile.

2018
Encuentros El Mercurio, Protagonistas 2030 https://encuentros.elmercurio.com/gmedia/capsulas_promo_protagonistas_2030_-_ignacio_muga_13ago-mp4/

Title: Projection in negative norms & the regularization of rough linear functionals. Venue: 5th International Workshop on Multiphysics, Multiscale and Optimization Problems (M2OP5). BCAM, Bilbao, Spain.

Title: Projection in negative norms & the regularization of rough linear functionals. Venue: Emerging Trends in Applied Mathematics & Mechanics (ETAMM2018), Jagiellonian University, Krakow, Poland.

Title: Projection in negative norms & the regularization of rough linear functionals. Venue: 1st Colombian Conference of Industrial & Applied Mathematics, Bogotá, Colombia.

Title: El método de Petrov-Galerkin y la evolución histórica de su constante de quasi-optimalidad. Venue: LIV Semana de la Matemática, Valparaíso, Chile.

Title: Minimización residual discreta para advección-reacción en espacios de Banach. Venue: LXXXVII Encuentro Anual Sociedad de Matemática de Chile, Rancagua, Chile.

2017
Title: On the hybridization of residual minimization problems in Banach Spaces. Venue: 3rd Workshop on Minimum Residual & Least Squares FEM, Portland, USA.

Title: About the extension of the DPG method to Banach spaces. Venue: 27th Biennial Numerical Analysis Conference, GLASGOW, UK.

Title: General 1.5D Approaches for Layered Media. Venue: Workshop on Geophysical Applications and HPC, Barcelona, Spain.

2016
Title: A Quadrature-Free Method for the Approximation of DC Fundamental Solutions in Layered Media. Venue: 4th International Workshop on Multiphysics, Multiscale and Optimization Problems (M2OP4). BCAM, Bilbao, Spain.

Title: The nonlinear Petrov–Galerkin method in Banach spaces: yet another improvement of Babuska’s apriori error estimate. Venue: SUMA 2016, Valparaíso, Chile.

Title: The nonlinear Petrov–Galerkin method in Banach spaces: yet another improvement of Babuska’s apriori error estimate. Venue: MAFELAP 2016, Brunel University, UK.

Title: Optimal Discretization in Banach Spaces. Venue: 5th Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2016), Concepción, Chile.

Title: Semi-Analytic techniques for 1D fast simulation of direct current (DC) borehole measurements. Venue: 6th Valparaiso’s Mathematics and its Applications Days (V-MAD 6), Valparaíso, Chile.

2015
Title: Optimal Discretization in Banach Spaces: a Nonlinear Petrov-Galerkin Approach. Venue: 2nd Workshop on Minimum Residual and Least Squares Finite Element Methods Workshop. Delft, The Netherlands.

Title:Optimal Discretization in Banach Spaces. Venue: Oberwolfach Workshop 1540: Computational Engineering. Mathematisches Forschungsinstitut Oberwolfach, Germany.

Title: Fast Simulation of Direct Current (DC) Borehole Measurements using Model Reduction. Venue: 1st Pan American Congress on Computational Mechanics (PANACM 2015). Buenos Aires, Argentina.

2014
Title:DPG Strategies for the Helmholtz Equation. Venue: LMS Durham Symposium, Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Durham, UK.

Title:Fast Simulation of Direct Current (DC) Borehole Measurements using Model Reduction. Venue: 3rd International Workshop on Multiphysics, Multiscale and Optimization Problems. BCAM, Bilbao, Spain.

2013
Title: Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation. Venue: Valparaíso Numérico IV: Séptimo Encuentro de Análisis Numérico de Ecuaciones Diferenciales Parciales. Pontificia Universidad Católica de Valparaíso, Chile.

Title: Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation. Venue: 1st Workshop on Minimum Residual and Least Squares Finite Element Methods, Austin, Texas. USA.

Title: Recent Advances on the Simulation and Inversion of Resistivity Logging Measurements for Enhanced Reservoir Characterization. Venue: Mathematical Congress of the Americas 2013, Guanajuato, México.

Title: Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation. Venue: 14th Conference “The Mathematics of Finite Elements and Applications” (MAFELAP 2013) Brunel University, Uxbridge, UK.

Title: Dispersion of the Lowest Order DPG Method for Helmholtz Equation with Scaled Norms. Venue: 11th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2013). Gammarth, Tunisia.

Title: Dispersion of the Lowest Order DPG Method for Acoustics. Venue: 4th Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2013), Concepción, Chile.

2012
Title: Borehole Acoustics Measurements: a Semi-Analytical Approach. Venue: 3rd Valparaiso’s Mathematics and its Applications Days (V-MAD III), Valparaíso, Chile.

Title: Técnicas semi-analíticas para la simulación de registros sónicos descentrados. Venue: XI Jornadas de Mecánica Computacional, Valparaíso, Chile.

Title: Semi-analytical response of acoustic logging measurements due to multipole eccentered excitations. Venue: 2nd Valparaiso’s Mathematics and its Applications Days (V- MAD II), Valparaíso, Chile.

2011
Title: An Update of the DPG Method for Wave Propagation Problems. Venue: La Serena Numérica I, 6th Meeting of Numerical Analysis of Partial Differential Equations, La serena, Chile.

Title: Analysis of the DPG Method for the Hemholtz Equation in Multi-dimensions. Venue: LXXX Encuentro Anual, Sociedad Matemática de Chile, Los Andes, Chile.

Title: Semi-Analytical Response of Acoustic Logging Measurements due to Multipole Eccentered Excitations. Venue: X Jornadas de Mecánica Computacional, Santiago, Chile.

2010
Title: A Class of Discontinuous Petrov-Galerkin Methods: The Optimal Test Norm and Time- Harmonic Wave Propagation. Venue: Santiago Numérico II, 5th Meeting of Numerical Analysis of Partial Differential Equations, Santiago, Chile.

Title: DPG for Waves. Venue: Spring 2010 Finite Element Rodeo, Southern Methodist University, Dallas, Texas, USA.

2009
Title: Uniqueness for the Outgoing Elastic Wave in a Half-Plane with Free Boundary. Venue: The 9th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2009), Pau, France.

Title: A radiation condition for time-harmonic elastic waves in half-spaces with free boundary. Venue: Santiago Numérico I, 4th Meeting of Numerical Analysis of Partial Differential Equations, Santiago, Chile.

2007
Title: Radiation Condition for a Class of Time-Harmonic Acoustic and Elastic Wave Problems Arising in Half-Spaces. Venue: The 8th International Conference on Mathematical and Numerical Aspects of Waves (WAVES 2007), Reading, United Kingdom.

Title: The Helmholtz Equation in Unbounded Domains with Unbounded Frontier: Surface Waves. Venue: 2nd Workshop of Numerical Analysis of Partial Differential Equations (WONAPDE 2007), Concepción, Chile


Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach Brevis, Ignacio; Muga, Ignacio; Pardo, David; Rodriguez, Oscar; van der Zee, Kristoffer G. Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (2024)
A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks Uriarte, Carlos; Pardo, David; Muga, Ignacio; Munoz-Matute, Judit Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2023)
A Deep Fourier Residual method for solving PDEs using Neural Networks Taylor, Jamie M.; Pardo, David; Muga, Ignacio Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2023)
Adaptive stabilized finite elements via residual minimization onto bubble enrichments Hasbani, Jose; Sepulveda, Paulina; Muga, Ignacio; Calo, Victor M.; Rojas, Sergio Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (2023)
An Adaptive Superconvergent Mixed Finite Element Method Based on Local Residual Minimization Muga, Ignacio; Rojas, Sergio; Vega, Patrick Article SIAM JOURNAL ON NUMERICAL ANALYSIS (2023)
Automatic stabilization of finite-element simulations using neural networks and hierarchical matrices Sluzalec, Tomasz; Dobija, Mateusz; Paszynska, Anna; Muga, Ignacio; Los, Marcin; Paszynski, Maciej Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2023)
Nanoionics from a quantum mechanics point of view: Mathematical modeling and numerical simulation Sepulveda, Paulina; Muga, Ignacio; Sainz, Norberto; Rojas, Rene G.; Ossandon, Sebastian Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2023)
Neural control of discrete weak formulations: Galerkin, least squares minimal-residual methods with quasi-optimal weights Brevis, Ignacio; Muga, Ignacio; van der Zee, Kristoffer G. Article ISI COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)
Projection in negative norms and the regularization of rough linear functionals Millar, F.; Muga, I; Rojas, S.; Van der Zee, K. G. Article ISI NUMERISCHE MATHEMATIK (2022)
Semi-analytical solutions for the problem of the electric potential set in a borehole with a highly conductive casing Erdozain, Aralar; Muga, Ignacio; Peron, Victor; Pinochet, Gabriel Article ISI GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS (2022)
A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations Brevis, Ignacio; Muga, Ignacio; van der Zee, Kristoffer G. Article ISI COMPUTERS & MATHEMATICS WITH APPLICATIONS (2021)
DGIRM: Discontinuous Galerkin based isogeometric residual minimization for the Stokes problem Los, Marcin; Rojas, Sergio; Paszynski, Maciej; Muga, Ignacio; Calo, Victor M. Article ISI JOURNAL OF COMPUTATIONAL SCIENCE (2021)
Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems Los, M.; Muga, I.; Munoz-Matute, J.; Paszynski, M. Article ISI COMPUTERS & MATHEMATICS WITH APPLICATIONS (2021)
Three-dimensional simulations of the airborne COVID-19 pathogens using the advection-diffusion model and alternating-directions implicit solver Los, Marcin; Wozniak, Maciej; Muga, Ignacio; Paszynski, Maciej Article ISI BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES (2021)
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms Calo, V. M.; Ern A.; Muga I.; Rojas S. Article ISI SCOPUS COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)
DISCRETIZATION OF LINEAR PROBLEMS IN BANACH SPACES: RESIDUAL MINIMIZATION, NONLINEAR PETROV-GALERKIN, AND MONOTONE MIXED METHODS Muga, Ignacio; van der Zee, Kristoffer G. Article ISI SIAM JOURNAL ON NUMERICAL ANALYSIS (2020)
Isogeometric Residual Minimization Method (iGRM) with direction splitting for non-stationary advection-diffusion problems ?o? M.; MuÃ±oz-Matute J.; Muga I.; Paszy?ski M. Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2020)
THE OUTGOING TIME-HARMONIC ELECTROMAGNETIC WAVE IN A HALF-SPACE WITH NON-ABSORBING IMPEDANCE BOUNDARY CONDITION Rojas, Sergio.; Muga, Ignacio; Jerez-Hanckes, Carlos Article ISI SCOPUS ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2019)
A Numerical 1.5D Method for the Rapid Simulation of Geophysical Resistivity Measurements Shahriari, M; Rojas, S; Pardo D.; Rodriguez-Rozas, A; Bakr, SA; Calo, VM; Muga I. Article WOS-ESCI SCOPUS GEOSCIENCES (2018)
Goal-oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation Darrigrand, V; Rodriguez-Rozas, A; Muga, I; Pardo, D; Romkes, A; Prudhomme, S Article ISI INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2018)
A quadrature-free method for simulation and inversion of 1.5D direct current (DC) borehole measurements Rojas, Sergio; Muga, Ignacio; Pardo, David Article ISI SCOPUS COMPUTATIONAL GEOSCIENCES (2016)
Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation Darrigrand, V; Pardo D.; Muga I. Article ISI SCOPUS Computers and Mathematics with Applications (2015)
Semi-analytical response of acoustic logging measurements in frequency domain Muga I.; Pardo D.; Matuszyk, PJ; Torres-Verdin, C Article ISI SCOPUS Computers and Mathematics with Applications (2015)
DISPERSIVE AND DISSIPATIVE ERRORS IN THE DPG METHOD WITH SCALED NORMS FOR HELMHOLTZ EQUATION Gopalakrishnan, J.; Muga I.; OLIVARES, N Article ISI SCOPUS SIAM JOURNAL ON SCIENTIFIC COMPUTING (2014)
Influence of borehole-eccentred tools on wireline and logging-while-drilling sonic logging measurements Pardo D.; Matuszyk, PJ; Torres-Verdin, C; Mora, A; Muga I.; Calo, VM Article ISI SCOPUS Geophysical Prospecting (2013)
Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation Demkowicz, L.; Gopalakrishnan, J.; Muga I.; Zitelli J. Article ISI SCOPUS Computer Methods in Applied Mechanics and Engineering (2012)
A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D Zitelli J.; Muga I.; Demkowicz, L.; Gopalakrishnan, J.; Pardo D.; Calo, VM Article ISI SCOPUS Journal of Computational Physics (2011)
Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method Pardo D.; Matuszyk P.; Muga I.; Torres-Verdin, C; Mora, A; Calo, VM Article ISI SCOPUS Journal of Computational Physics (2011)
THE OUTGOING TIME-HARMONIC ELASTIC WAVE IN A HALF-PLANE WITH FREE BOUNDARY Duran, M; Muga I.; Nedelec, JC Article ISI SCOPUS SIAM Journal on Applied Mathematics (2011)
Radiation condition and uniqueness for the outgoing elastic wave in a half-plane with free boundary Duran, M; Muga I.; Nedelec, JC Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2009)
The Helmholtz Equation in a Locally Perturbed Half-Space with Non-Absorbing Boundary Duran, M; Muga I.; Nedelec, JC Article ISI SCOPUS ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2009)
The Helmholtz equation in a locally perturbed half-plane with passive boundary Duran, M; Muga I.; Nedelec, JC Article ISI SCOPUS IMA JOURNAL OF APPLIED MATHEMATICS (2006)
The Helmholtz equation with impedance in a half-plane Duran, M; Muga I.; Nedelec, JC Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2005)
The Helmholtz equation with impedance in a half-space Duran, M; Muga I.; Nedelec, JC Article ISI SCOPUS COMPTES RENDUS MATHEMATIQUE (2005)


The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method Houston P.; Muga I.; Roggendorf S.; Van Der Zee K.G. ConferencePaper ISI SCOPUS COMPUTATIONAL METHODS IN APPLIED MATHEMATICS (2019)
The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces Muga I.; Tyler M.J.W.; Van Der Zee K.G. ConferencePaper ISI SCOPUS COMPUTATIONAL METHODS IN APPLIED MATHEMATICS (2019)


DISCRETE-DUAL MINIMAL-RESIDUAL FINITE ELEMENT METHODS Muga, Ignacio Proyecto (2023)
MATHROCKS RISE Horizon 2020 European Project (777778) Proyecto 2018-2020 Coinvestigador(a)
Direct Solvers & Parallel Computing @Valparaiso MEC-Conicyt (PAI80160025) Proyecto 2017-2017 Inv. Patrocinante
OPTIMAL DISCRETIZATION IN BANACH SPACES FONDECYT (1160774) Proyecto 2016-2020 Inv. Responsable
Geophysical Exploration using Advanced Galerkin Methods (GEAGAM). European Union´s Horizons 2020 (644202) Proyecto 2015-2017 Investigador(a)
Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales PIA (ACT 1118) Proyecto 2013-2015 Investigador(a)
Fortalecimiento de la computación cientifica en la red universitaria de Valparaiso MEC-Conicyt (80130072) Proyecto 2013-2014 Inv. Patrocinante
OUTSTANDING ISSUES ON THE DPG METHOD FOR WAVE PROPAGATION FONDECYT (1130776) Proyecto 2013-2015 Inv. Responsable
Metodos Avanzados para la Visualizacion del Subsuelo (MAVS) CYTED (P711RT0278) Proyecto 2012-2015 Investigador(a)
DISCONTINUOUS PETROV-GALERKIN METHODS WITH OPTIMAL TEST FUNCTIONS FOR TIME-HARMONIC WAVE PROPAGATION PROBLEMS. FONDECYT (1110272) Proyecto 2011-2013 Inv. Responsable
MATHEMATICAL STUDY AND NUMERICAL SIMULATION OF THE ELECTROMAGNETIC INTERACTIONS WITH ANISOTROPIC LAYERED MEDIA FONDECYT (3090050) Proyecto 2008-2010 Inv. Patrocinante
Theoretical, numerical and computational aspects of complex wave propagation phenomena=> Application to technological problems in Chile PIA (ACT 30) Proyecto 2007-2009 Investigador(a)