Presentations
Charla de cierre del Congreso Colombiano de Matemática 2023. Tunja, Junio 5 al 9 de 2023. Sobre métodos multiescala y descomposición de dominios para problemas de alto contraste.
A porous media fracture model, XV Congress 2022 GAFEVOL, Universidad Nacional de Colombia Sede Manizales, from November 28 to December 02,
An exponential integration generalized multiscale finite element method for parabolic problems, Numerical Analysis Seminar of the Department of Mathematics The University of Hong Kong, Pokfulam, Hong Kong. Jan 17, 2023.
Multiscale preconditioners for linear elastic topology optimization, XXIII Simposio Internacional de Métodos Matemáticos Aplicados a las Ciencias (XXIII SIMMAC), Universidad de Costa Rica, Virtual, 21 al 25 de Febrero de 2022.
A phase field porous media fracture model based on homogenization theory, Workshop on Simulation and Inversion Methods in Geophysics "HPC, deep learning and numerics in geophysics " , Nov. 18th-19th, 2021
On high-order conservative finite element methods for heterogeneous problems, MCA2021, July 12-23, 2021, Universidad de Buenos Aires, Argentina, (Virtual).
Multiscale preconditioners for linear elastic topology optimization, MCA2021, July 12-23, 2021, Universidad de Buenos Aires, Argentina, (Virtual).
CR, P1 and Iterative Methods for Heterogeneous Problems. 26th International Domain Decomposition Conference, DD XXVI, in Hong Kong, China. December 7-12, 2020. https://www.math.cuhk.edu.hk/conference/dd26/?Conference-Home
ROBUST SOLVERS AND APPROXIMATION FOR HIGH-CONTRAST MULTISCALE PROBLEMS. Coloquio de Matemáticas Universidad de los Andes. Colombia, Diciembre 3 de 2020.
Crouzeix-Raviart, Lagrange finite elements and iterative methods for elliptic heterogeneous problems. MATHROCKS Worskhop on Simulation and Inversion Methods in Geophysics. Nov 5th and 6th, 2020. https://www.mathrocks.science/activities.
Conferencia Inaugural: Una introducción a la aproximación numérica de ecuaciones diferenciales parciales usando el método de elementos finitos. II Encuentro Matemático del Caribe. Cartagena, 9-12 de Septiembre de 2020.
Participación en el WEBINAR COVID-19: RETOS, AVANCES Y PROPUESTAS DESDE LA FACULTAD DE CIENCIAS con la charla “Modelamiento matemático del Covid, actividades del grupo de Matemática Aplicada”. Mayo 7 de 2020. Disponible en http://ciencias.bogota.unal.edu.co/contingencia-covid-19/webinars/ .
Introducción a la epidemiología matemática. Webinar realizado el día 6 de marzo de 2020 por la Comisión de Matemáticas Aplicadas e Industriales (CMAI) de la Sociedad Colombiana de Matemáticas (SCM) acerca de matemáticas, computación y COVID-1. Colombia.
Conferencia Inaugural: Introducción a los Métodos de Descomposición de Domínios, Primer Encuentro Suroccidental de Matemáticas y Matemáticas Aplicadas, Universidad del Valle/Universidad Javeriana, Cali, Colombia, Noviembre 20-24, 2019.
ROBUST SOLVERS FOR HIGH-CONTRAST MULTISCALE PROBLEMS, - DYNAMICS, EQUATIONS AND APPLICATIONS - dea.agh.edu.pl, 16 to 20 September 2019, Faculty of Applied Mathematics at the AGH University of Science and Technology, Krakow, Poland.
Fast multiscale contrast independent preconditioner for linear elastic topology optimization problems, Congress on Mathematical and Computational Modeling of the Earth, 24-25 Mayo de 2019, Barcelona, Spain.
Conferencia plenaria: Introducción a los métodos de descomposición de dominios, X Simposio Nororiental de Matemáticas, 5 -7 de Diciembre de 2018 en la Universidad Industrial de Santander (UIS), en Bucaramanga, departamento de Santander, Colombia.
Elementos finitos conservativos de alto orden, X Simposio Nororiental de Matemáticas, 5 -7 de Diciembre de 2018 en la Universidad Industrial de Santander (UIS), en Bucaramanga, departamento de Santander, Colombia.
Introducción a los métodos de descomposición de dominios, 4 Coloquio de Matemáticas Aplicadas y 1 Encuentro Internacional de Matemáticas Aplicadas, Universidad Militar Nueva Granada, Cajicá, noviembre 6 de 2018.
Introducción al calculo numérico de ecuaciones diferenciales parciales, conferencia plenaria, primera CONFERENCIA COLOMBIANA DE MATEMÁTICAS APLICADAS E INDUSTRIALES (MAPI 1) , Bogotá, días 10 y 11 de Agosto de 2018.
On higher order conservative methods, 5th International Congress on Multiphysics, Multiscale, and Optimization Problems, May 24-26, 2018, Bilbao, Spain
Minicurso: Multiscales and domain decomposition method. Programa de verao, Universidade Federal de Belo Horizonte, Fevereiro de 2018.
Overlapping methods for high-contrast multiscale problems, Invited oppening talk, XI EMED, 20 a 22 de Novembro de 2017, Po.cos de Caldas-MG, UNIFAL-MG.
A mass conservative generalized MsFEM for two-phase flow in heterogeneous porous media, International Conference on Groundwater - IGWC 2017, August 28-31, Bogotá, Colombia.
High-contrast problems, High-order approximation and local conservation, MCA2017, July 24-28, 2017, at Centre Mont-Royal and McGill University, Montreal, Canadá.
Inaugural talk at EMALCA (Escuela de Matemática de América Latina y el Caribe). Medellin, Junio 2017.
Invited Pleary Talk at Colombian Congress of Mathematics, Junio 5-9, 2017, Bogotá, Colombia.
Rubust method for heterogeneous dam problem. 24 Domain Decomposition Internacional Conference, Longyearbyen, Svalbard, Feb 6-10, 2017.
On high-order finite volume methods, 24 Domain Decomposition Internacional Conference, Longyearbyen, Svalbard, Feb 6-10, 2017.
Overlapping method for high-contrast multiscale problems. Invited Plenary Talk at 24 Domain Decomposition Internacional Conference, Longyearbyen, Svalbard, Feb 6-10, 2017
Multiscale discretizations and iterative methods for high-contrast elliptic problems. II Congresso Brasileiro de Jovens Pesquisadores em Matemtica Pura e Aplicada, IMECC/Unicamp, Campinas/SP, Brazil, 5 a 7 de dezembro 2016.
Calculo numérico de ecuaciones diferenciales parciales. Universidad Nacional de Colombia, Sede Manizales. Nov 25 de 2016.
Temas de mátematica aplicada en la Universidad Nacional de Colombia. VI Escuela de Matemáticas del Caribe. Cartagena Nov 16-18, 2016. Conferencia Inaugural.
On high-order finite volume method. 10th International Conference on Scientific Computing and Applications (ICSCA 2016). Toronto, June 6 - 10, 2016, The Fields Institute.
A mass conservative generalized multiscale finite element method With application to two-phase flow in heterogeneous porous media, orkshop on Simulation of Complex Processes in Porous Media, Rio de Janeiro, September 25-26, 2015.
Asymptotic expansions for high contrast problems, XX Colombian Congress of Mathematics, Manizales, Colombia, July 21 to 24 2015.
Recent results in the approximation of High-contrast problems, Semiplenary talk, XX Colombian Congress of Mathematics, Manizales, Colombia, July 21 to 24 2015.
Aproximación Numerica de Problemas Multiescala, Seminario Universidad de Cartagena, Cartagena, Colombia, Junio 24, 2015.
On elliptic equations with log-normal coefficients ,6 Encuentro Regional de Matemáticas, instituto de Matemáticas, Univerisidad de Antioquia, Medellín, Antioquia, 10 y 11 de Diciembre de 2014,
Recent developments in the approximation of high-contrast flow problems, 1st IMPA-INTERPORE Workshop on Porous Media, Rio de Janeiro, Brazil, October 19-21, 2014.
Regularity results for the ordinary product stochastic pressure equation, International Conference on Applied Mathematics and Informatics ICAMI2013. San Andres Island - November 24-29, 2013.
Generalized multiscale finite element methods (GMsFEM), International Conference on Applied Mathematics and Informatics ICAMI2013. San Andres Island - November 24-29, 2013.
Métodos tipo "divide y vencerás'' para la aproximación numérica de soluciones de EDPs. Coloquio de Matemática, Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá. 2013
Domain decomposition preconditioners for high-contrast multiscale problems, 21st International Conference on Domain Decomposition Methods, at Inria Rennes-Bretagne-Atlantique, France, on June 25-29, 2012.
Spectral multiresolution AMG, 21st International Conference on Domain Decomposition Methods, at Inria Rennes-Bretagne-Atlantique, France, on June 25-29, 2012.
Domain decomposition and multiscale methods for high contrast elliptic equations, 21st International Conference on Domain Decomposition Methods, at Inria Rennes-Bretagne-Atlantique, France, on June 25-29, 2012.
Regularity for stochastic coeffient elliptic problems. 35th Annual Texas Partial Differential Equations Conference March 3-4, 2012
Texas A&M University, College Station, Texas
A systematic coarse-scale model reduction technique for parameter-dependent flows in highly heterogeneous media. The finite element rodeo 2012, March 2-3, 2012, Rice University, Houston, Texas.
Multiscale methods for high-contrast problems using local spectral basis functions. Joint Mathematics Meetings, Boston, MA January 4-7, 2012 (AMS Special Session on Local Field Properties, Microstructure, and Multiscale Modeling of Heterogeneous Media). Did not have time to go over all slides :(.
Minicourse: Introdução a Aproximação Numérica de Equações Diferenciais Parciais Via o Método de Elementos Finitos. 28 Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, 18 a 29 de julho de 2011.
Robust Multiscale Solvers for Stokes/Darcy Coupling. SIAM Conference on Mathematical & Computational Issues in the Geosciences, Long Beach, California, March 21-24, 2011.
Multilevel Model Reduction Approaches for Flows in Multiscale Porous Media. SIAM Conference on Mathematical & Computational Issues in the Geosciences, Long Beach, California, March 21-24, 2011
Regularity for stochastic coefficient elliptic problems, The finite element rodeo 2011, Texas A&M on February 25-26.
POSTER PRESENTATION: Multiscale model reduction for flows in hihg-contrast media, IAMCS Workshop in Large-Scale Inverse Problems and Uncertainty Quantification, Texas A&M, February 24-25, 2011.
Spectrally Constructed Coarse Spaces, 20th International Conference on Domain Decomposition Methods at UC San Diego, in La Jolla, California, February 7-11, 2011.
Domain Decomposition for High-Contrast Problems. Texas A&M Numerical Analysis Seminar, October 27, 2010. (got until slide 53).
A weighted Poincare inequality and applications to Domain Decomposition. Texas A&M Postdoc Colloquiums, October 14, 2010.
FETI Methods for Mortar Coupling of Stokes-Darcy Systems. SIAM Annual Meeting, Pittsburgh, July 12-16, 2010.
Multiscale Simulation Techniques for High-Contrast Subsurface Flows, Pervasively Parallel Solutions for Partial Differential Equations (PPS4PDEs), KAUST, Saudi Arabia, May 2-5, 2010.
Wiener-Chaos finite element methods for the approximation of infinite-dimensional stochastic elliptic equations. Computational Mathematics Seminar Series, Center of Computation and Technology, LSU, Baton Rouge, LA, April 12, 2010.
Numerical homogenization for high-contrast elliptic problems using local spectral basis functions. 33rd Annual Texas Partial Differential Equations Conference TXPDE, April 10-11, 2010 University of Texas at Austin.
POSTER PRESENTATION: Domain decomposition preconditioners for multiscale flows inhigh contrast media. InterPore 2010 Conference and Annual Meeting. March 14-17, Texas A&M University, College Station, TX, 2010.
Domain decomposition preconditioners for multiscale flows in high contrast media. Spring 2010 Finite Element Rodeo, Southern Methodist University, Dallas, TX, March 5-6, 2010.
Coarse spaces for high-contrast multiscale problems. Workshop on Multiscale/multiphysics discretizations, solvers, and coupling for engineering applications. KAUST, Saudi Arabia, January 30, 2010.
FETI and FETI-DP for Darcy-Mortar-Stokes systems. SIAM Conference on Analysis of Partial Differential Equations. Miami, Florida, December 7-10, 2009.
Chaos finite elements. Texas A&M Postdoc Colloquiums. October, 2009.
FETI for Darcy-Mortar-Stokes systems. 19th International Conference on Domain Decomposition Methods, Zhangjiajie, China, August 17-22, 2009.
Multiscale finite element methods for high-contrast problems. 19th International Conference on Domain Decomposition Methods, Zhangjiajie, China, August 17-22, 2009.
Minicourse: Introdução aos métodos de decomposição de domínio. 27 Colóquio Brasileiro de Matemática IMPA, Rio de Janeiro, 27 a 31 de julho de 2009.
Wiener-Chaos finite element approximations for the Darcy's equation in random porous media. Finite Element Rodeo, Institute for Computational Engineering and Sciences The University of Texas at Austin. Feb. 27 & 28, 2009.
Domain Decomposition Analysis for Heterogeneous Darcy's Flow. Numerical Analysis Seminar at Department of MathematicsTexas A&M University, September 2008.
Domain Decomposition Analysis for Heterogeneous Darcy's Flow. Prémio Odelar Linhares Apresentações das Teses Indicadas SBMAC 2008. July 07-08, 2008.
Preconditioners for DG discretization of elliptic problems on geometrically non-conforming substructuresat. Computational and Mathematical Challenges in Waves, Wells & Weather, Computational and Mathematical Challenges in Waves, Wells & Weather, IMPARio de Janeiro, March 24-28, 2008.
Neumann-Neumann methods for DG discretization of elliptic problems on geometrically non-conforming substructures. X Workshop em Equações Diferenciais Parciais-Impa, August 2007, Rio de Janeiro, Brazil.
Domain Decomposition Method for discontinuous Galerkin discretization of elliptic problems with discontinuous coefficients. ESCUELA CIMPA-UNESCO-REALMA-COLOMBIA Matemáticas para modelamiento y simulación , June 2007, Cali, Colombia.
Discretization analysis for the coupling of free fluid flow with porous media flow. ESCUELA CIMPA-UNESCO-REALMA-COLOMBIA Matemáticas para modelamiento y simulación , June 2007, Cali, Colombia.
Discretization analysis for the coupling of free fluid flow with porous media flow. PDE Seminar at Worcester Polytechnic Institute (WPI), November 2006.
Discretization of Stokes/Darcy Coupling. Workshop: Discontinuous Galerkin and Multiscale Finite Element Methods for Partial Differential Equations - Theory and Applications. Universidade Federal de Santa Catarina, February 2006, Santa Catarina, Brazil.
Mortar Discretization For Coupling Stokes Darcy, discrete - conditions and error analysis. IX Workshop em Equações Diferenciais Parciais-Impa, July 2005, Rio de Janeiro, Brazil.
Inf-sup for coupling Stokes-Darcy. XXV Latin American Congress on Computational Methods in Engineering, CILAMCE XXV, November, 2004, Recife, Brazil.
Finite Elements for well-reservoir coupling. Rio Oil and Gas Expo and Conference 2004. Octorber 4-7, 2004. Rio de Janeiro, Brazil.
Finite Elements for well-reservoir Coupling. The SPE 2004 South American & Caribbean Student Presentation and Paper Contest, June 17 - 18, 2004 at Vitoria - ES (Brazil).
Inf-sup condition for the coupling of Stokes and Darcy equations. 1st LNCC Meeting on Computational Modeling, August, 2004, Petrópolis, Brazil.