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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

Line of Research

Numerical Analysis

Applied Maths

Publications

Preprints

 

 

 

 

 Journals

  • Rojas, S.; Muga, I.; Pardo, D. ”A quadrature free method for simulation and inversion of 1.5D direct current (DC) borehole measurements“. COMPUT GEOSCI, 20:1301–1318 (2016), doi: 10.1007/s10596-016-9592-1

 

 

 

 

 

 

 

 

 

 

 

 

 

  • Durán, M.; Muga, I.; Nédélec, J. “The Helmholtz equation with impedance in a half-space”. C. R. Math. Acad. Sci. Paris 341 (2005), no. 9, 561–566.

 

  • Durán, M.; Muga, I.; Nédélec, J. “The Helmholtz equation with impedance in a half-plane”. C. R. Math. Acad. Sci. Paris 340 (2005), no. 7, 483–488.

Research Projects

Externos

  • 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

  • ¨The nonlinear Petrov–Galerkin method in Banach spaces: yet another improvement of Babuska’s apriori error estimate¨. MAFELAP 2016, Conference on the Mathematics of Finite Elements and Applications, Brunel University, United Kingdom.

     

  • ¨A Quadrature-Free Method for the Approximation of DC Fundamental Solutions in Layered Media¨. Fourth International Workshop on Multiphysics, Multiscale and Optimization Problems. BCAM, Bilbao, Spain.

 

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

 

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

 

  • “Optimal Discretization in Banach Spaces: a Nonlinear Petrov-Galerkin Approach”. Minimal Residual and Least Squares Finite Element Methods Workshop. Delft, The Netherlands.

 

  • “Optimal Discretization in Banach Spaces”. Oberwolfach Workshop 1540: Computational Engineering. Mathematisches Forschungsinstitut Oberwolfach, Germany.

 

  • “Fast Simulation of Direct Current (DC) Borehole Measurements using Model Reduction”. First Pan-American Congress on Computational Mechanics (PANACM 2015). Buenos Aires, Argentina.

 

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

 

  • “Fast Simulation of Direct Current (DC) Borehole Measurements using Model Reduction”. Third International Workshop on Multiphysics, Multiscale and Optimization Problems. BCAM, Bilbao, Spain.

 

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

 

  • “Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation”. ICES/USACM Workshop on Minimum Residual ans Least Squares Finite Element Methods, Austin, Texas, EEUU.

 

  • “Recent Advances on the Simulation and Inversion of Resistivity Logging Measurements for Enhanced Reservoir Characterization”. XII Jornadas de Mecánica Computacional, Universidad de Santiago, Chile.

 

  • “Recent Advances on the Simulation and Inversion of Resistivity Logging Measurements for Enhanced Reservoir Characterization”. Mathematical Congress of the Americas 2013, Guanajuato, México.

 

  • “Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation”. MAFELAP 2013, Conference on the Mathematics of Finite Elements and Applications, Brunel University, United Kingdom.

 

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

 

  • “Dispersion of the lowest order DPG method for acoustics”. IV Workshop of Numerical Analysis of Partial Differential Equations (WONAPDE 2013), Concepción, Chile.

 

  • “Análisis de nuevas técnicas de discretización” (Cursillo). III Jornada de Matemáticas. 11 al 13 de enero, 2012. Universidad de Valparaíso.

 

  • “Técnicas semi-analíticas para la simulación de registros sónicos descentrados”. XI Jornadas de Mecánica Computacional, Valparaíso, Chile. 2012

 

  • “Técnicas semi-analíticas para la simulación de registros sónicos descentrados”.The Third Valparaíso’s Mathematics and Applications Days (V-MAD III), Valparaíso, Chile. 2012

 

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

 

  • “Analysis of the DPG Method for the Hemholtz Equation in Multi-dimensions”. LXXX Encuentro Anual, Sociedad Matemática de Chile, Los Andes, Chile. 2011

 

  • “Semi-Analytical Response of Acoustic Logging Measurements due to Multipole Eccentered Excitations”. X Jornadas de Mecánica Computacional, Santiago, Chile. 2011

 

  • “Analysis of the DPG Method for the Hemholtz Equation in Multi-dimensions”. KAUST-IAMCS Workshop on Multiscale Modeling, Advanced Discretization Techniques, and Simulation of Wave Propagation, King Abdullah University of Science and Technology, Saudi Arabia. 2011

 

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

 

  • “DPG for Waves” Spring 2010 Finite Element Rodeo, Southern Methodist University, Dallas, Texas, USA. 2010

 

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

 

  •  “A radiation condition for time-harmonic elastic waves in half-spaces with free boundary”. Santiago Numérico I, 4th Meeting of Numerical Analysis of Partial Differential Equations, Santiago, Chile. 2009

 

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

 

  • “The Helmholtz Equation in Unbounded Domains with Unbounded Frontier: Surface Waves.” II Workshop of Numerical Analysis of Partial Differential Equations (WONAPDE 2007), Concepción, Chile. 2007

 

Direcciones de Tesis

Magister

 

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.