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Instituto de Matemáticas Aplicadas UCV
Muga Urquiza, Ignacio

Muga Urquiza, Ignacio

Doctor en Ciencias de la Ingeniería con Mención en Modelamiento Matemático, Universidad de Chile, Chile.

Licenciado en Matemáticas, Pontificia Universidad Católica de Valparaíso, Chile.

ignacio.muga@pucv.cl

(+56) 32 227 4033

Pagina del academico

Research Interests

Mathematical Modeling, Numerical Analysis & Scientific Computing.

Publications

Preprints

  • Muga, I.;  Tyler, M.J.W.; Van der Zee, K. “The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach spaces”. arXiv:1808.04542

 

 

 

 

 

 Journals

  • Title: A Numerical 1.5D Method for the Rapid Simulation of Geophysical Resistivity   Measurements.  Authors: Shahriari, M.; Rojas, S.; Pardo, D.; Rodríguez-Rozas, A.; Shaaban, A.B.; Calo, V.M.; Muga, I. Source: GEOSCIENCES 2018, 8(6), 225; Published: 2018.

 

  • Title: Goal-oriented adaptivity using unconventional error representations for the multidimensional Helmholtz equation. Authors: Darrigrand, V.; Rodríguez-Rozas, A.; Muga, I.; Pardo, D.; Romkes, A.; Prudhomme, S.  Source: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Volume 113, Issue 1, pp 22-42. Published: 2018.

 

  • Title: A quadrature free method for simulation and inversion of 1.5D direct current (DC) borehole measurements. Authors: Rojas, S.; Muga, I.; Pardo,D. Source: COMPUTATIONAL GEOSCIENCES, Volume 20, Issue 6, pp 1301–1318. Published: 2016.

 

  • Title: Semi-analytical response of acoustic logging measurements in frequency domain. Authors: Muga, I.; Pardo, D.; Matuszyk, P.; Torres-Verdín, C.  Source: COMPUTERS AND MATHEMATICS WITH APPLICATIONS, Volume 70, Issue 4, pp 314-329. Published: 2015.

 

  • Title: Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation. Authors: Darrigrand, V.; Pardo, D.; Muga,I. Source: COMPUTERS AND MATHEMATICS WITH APPLICATIONS, Volume 69, Issue 9, pp 964-979. Published: 2015.

 

  • Title: Dispersive and dissipative errors in the DPG method with scaled norms for Helmholtz equation. Authors: Gopalakrishnan, J.; Muga, I.; Olivares,N. Source: SIAM JOURNAL OF SCIENTIFIC COMPUTING, Volume 36, Issue 1, pp A20-A39. Published: 2014.

 

  • Title: Influence of borehole-eccentered tools on wireline and logging-while-drilling sonic logging measurements. Authors: Pardo, D.; Matuszyk, P.J.; Torres-Verdin, C.; Mora, A.; Muga, I.; Calo, V.M. Source: GEOPHYSICAL PROSPECTING, Volume 61, Issue s1, pp 268-283. Published: 2013.

 

  • Title: Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation. Authors: Demkowicz, L.; Gopalakrishnan, J.; Muga, I.; Zitelli, J. Source: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Volume 213, pp 126-138. Published: 2012.

 

  • Title: Simulation of wireline sonic logging measurements acquired with Borehole- Eccentered tools using a high-order adaptive finite-element method. Authors: Pardo, D.; Matuszyk, P.J.; Muga, I.; Torres-Verdín, C.; Mora, A.; Calo, V.M. Source: JOURNAL OF COMPUTATIONAL PHYSICS, Volume 230, Issue 16, pp 6320-6333. Published: 2011.

 

  • Title: A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D. Authors: Zitelli J.; Muga I.; Demkowicz L.; Gopalakrishnan, J.; Pardo, D.; Calo, V.M. Source: JOURNAL OF COMPUTATIONAL PHYSICS, Volume 230, Issue 7, pp 2406-2432. Published: 2011.

 

  • Title: The outgoing time-harmonic elastic wave in a half-plane with free boundary. Authors: Durán, M.; Muga, I.; Nédélec, J.-C. Source: SIAM JOURNAL ON APPLIED MATHEMATICS, Volume 71, Issue 2, pp 443-464. Published: 2011.

 

  • Title: Radiation condition and uniqueness for the outgoing elastic wave in a half-plane with free boundary. Authors: Durán, M.; Muga, I.; Nédélec, J.C. Source: COMPTES RENDUS MATHEMATIQUE, Volume 347, Issue 21-22, pp1 321-1324. Published: 2009.

 

  • Title: The Helmholtz Equation in a Locally Perturbed Half-Space with Non-Absorbing Boundary. Authors: Durán, M.; Muga, I.; Nédélec, J.-C. Source: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, Volume 191, Issue 1 pp 143-172. Published: 2009.

 

  • Title: The Helmholtz equation in a locally perturbed half-plane with passive boundary. Authors: Durán, M.; Muga, I.; Nédélec, J.-C. Source: IMA JOURNAL OF APPLIED MATHEMATICS, Volume 71, Issue 6, pp 853-876. Published: 2006.

 

  • Title: The Helmholtz equation with impedance in a half-space. Authors: Durán, M.; Muga, I.; Nédélec, J.-C. Source: COMPTES RENDUS MATHEMATIQUE, Volume 341, Issue 9, pp 561-566. Published: 2005.

 

  • Title: The Helmholtz equation with impedance in a half-plane. Authors: Durán, M.; Muga, I.; Nédélec, J.-C. Source: COMPTES RENDUS MATHEMATIQUE, Volume 340, Issue 7, pp 483-488. Published: 2005.

Research Projects

Externos

  • RISE Horizon 2020 European Project MATHROCKS (Ref. Nr. 777778). Investigador Asociado.

 

  • Fondecyt, Chile. No. 1160774. “Optimal Discretization in Banach Spaces”. Investigador Responsable.

 

  • RISE Horizon 2020 European Project GEAGAM (Ref. Nr. 644602). 2015-2017. Investigador Asociado.

 

  •  Anillo ACT 1118: “Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales”.
 Investigador Asociado.

 

  • Fondecyt, Chile. No. 1130776. “Outstanding issues on the DPG method for wave propagation”.  Investigador Responsable.

 

  • Proyecto Red Temática CYTED, No. CYTED 2011 – P711RT0278. “Métodos Avanzados para la Visualización del Subsuelo” (MAVS). Investigador Principal. 2012-2015.

 

  • Fondecyt, Chile. No. 1110272. “Discontinuous   Petrov-Galerkin Methods with optimal test functions for time-harmonic wave propagation problems”. Investigador Responsable.

 

 

Talks

  •  

    2018

     

    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.

     

    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 spacesVenue: 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

     

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

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 Di erent 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.