Man

Rodolfo Rodriguez

Full Professor

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

Líneas de Investigación


Finite elements: spectral problems; error estimates. Computational Mechanics: acoustic vibrations; fluid-structure interactions; thin structures; electromagnetism.

Educación

  •  Mathematics, UNIVERSIDAD NACIONAL DE LA PLATA. Argentina, 1987

Experiencia Académica

  •   Visiting Assistant Professor Full Time

    UNIVERSITY OF MARYLAND

    College Park, Estados Unidos

    1989 - 1991

  •   Profesor Visitante Full Time

    UNIVERSIDAD DE SANTIAGO DE COMPOSTELA

    Matemática

    Santiago de Compostela, España

    1991 - 1992

  •   Profesor Adjunto Full Time

    UNIVERSIDAD NACIONAL DE LA PLATA

    Ciencias Exactas

    La Plata, Argentina

    1986 - 1996

  •   Profesor Visitante Full Time

    UNIVERSIDAD DE VIGO

    Vigo, España

    1993 - 1994

  •   Profesor Asociado Full Time

    UNIVERSIDAD DE CONCEPCION

    Ciencias Físicas y Matemáticas

    Concepción, Chile

    1995 - 1999

  •   Profesor Titular Full Time

    UNIVERSIDAD DE CONCEPCION

    Ciencias Físicas y Matemáticas

    Concepción, Chile

    2000 - At present

Formación de Capital Humano


Ph.D. Advising:
- Luis M. Hervella-Nieto. Modal reduction and finite element methods for fluid-structure interaction problems. Ph.D. Thesis in Mathematics. Co-adviser: Alfredo Bermúdez. Universidade de Santiago de Compostela, Spain, 2000.
- Pablo Gamallo. Mathematical analysis of the simulation of elastoacoustic problems and active noise control. Ph.D. Thesis in Mathematics. Co-adviser: Alfredo Bermúdez. Universidade de Santiago de Compostela, Spain, 2002.
- Ana Alonso. A posteriori error estimates for the finite element solution of fluid-structure interaction vibration problems. Ph.D. Thesis in Mathematics. Universidad Nacional de La Plata, Argentina, 2002.
- Pilar Salgado. Mathematical and numerical analysis of some electromagnetic problems. Application to the simulation of metallurgical electrodes. Ph.D. Thesis in Mathematics. Co-adviser: Alfredo Bermúdez. Universidade de Santiago de Compostela, Spain, 2002.
- Duarte Santamarina. A contribution to the study of mathematical models in acoustics and fluid-structure interaction. Ph.D. Thesis in Mathematics. Co-adviser: Alfredo Bermúdez. Universidade de Santiago de Compostela, Spain, 2002.
- Erwin Hernández. Interaction between fluids and slender structures. Ph.D. Thesis in Mathematical Engineering. Universidad de Concepción, Chile, 2002.
- Galina C. García. Control and adaptivity in ocean circulation models. Ph.D. Thesis in Mathematical Engineering. Co-adviser: Axel Osses. Universidad de Concepción, Chile, 2004.
- Edwin M. Behrens. Numerical analysis of pollutant transport and degradation in aquatic media models. Ph.D. Thesis in Mathematical Engineering. Co-adviser: Rodolfo Araya. Universidad de Concepción, Chile, 2006.
- Andrés Prieto. Some contributions in time-harmonic dissipative acoustic problems. Ph.D. Thesis in Mathematics. Co-advisers: Alfredo Bermúdez and Luis M. Hervella-Nieto. Universidade de Santiago de Compostela, Spain, 2007.
- Ramiro M. Acevedo. Finite element methods for eddy currents problems. Ph.D. Thesis in Mathematical Engineering. Co-adviser: Salim Meddahi. Universidad de Concepción, Chile, 2008.
- Frank Sanhueza. Finite element methods for thin structures. Ph.D. Thesis in Mathematical Engineering. Co-adviser: Ricardo G. Durán. Universidad de Concepción, Chile, 2010.
- David Mora. Finite element methods for stability problems of thin structures. Ph.D. Thesis in Mathematical Engineering. Co-adviser: Carlo Lovadina. Universidad de Concepción, Chile, 2010.
- Carlos Reales. Numerical modeling of electromagnetic problems in metallurgy. Ph.D. Thesis in Mathematical Engineering. Co-advisers: Alfredo Bermúdez and Pilar Salgado. Universidad de Concepción, Chile, 2010.
- Bibiana López-Rodríguez. Numerical solution of electromagnetic forming problems. Ph.D. Thesis in Mathematical Engineering. Co-advisers: Alfredo Bermúdez and Pilar Salgado. Universidad de Concepción, Chile, 2012.
- Pablo Venegas. Contribution to the mathematical and numerical analysis of some electromagnetic problems. Ph.D. Thesis in Mathematical Engineering. Co-advisers: Alfredo Bermúdez and Dolores Gómez-Pedreira. Universidad de Concepción, Chile, 2013.
- Jessika Camaño. Finite element methods for problems in bioelectromagnetics. Ph.D. Thesis in Mathematical Engineering. Co-advisers: Alberto Valli and Ana Alonso-Rodríguez. Universidad de Concepción, Chile, 2013.
- Gonzalo Rivera. Virtual element method for spectral problems. Ph.D. Thesis in Mathematical Engineering. Co-advisers: David Mora and Lourenço Beirão da Veiga. Universidad de Concepción, Chile, 2016.
- Cinthya Rivas. Efficient computation of electromagnetic fields in solar cells. Ph.D. Thesis in Mathematical Engineering. Co-advisers: Manuel Solano and Peter Monk. Universidad de Concepción, Chile (in progress).
- Felipe Lepe. Acoustics, dissipation and vibration problems. Ph.D. Thesis in Mathematical Engineering. Co-advisers: David Mora y Salim Meddahi. Universidad de Concepción, Chile (in progress).

Postdoc Advising:
- Fabrice Jaillet. Former institution: Université Lyon I, France. Supported by Fundación Andes grant C-14055, Chile, November 2006 - July 2007.
- Ivana Sebestová. Former institution: Charles University, Prague, Czeck Republic. Supported by Anillo ANANUM ACT1118, CONICYT, Chile, June-October, 2014, and by FONDECYT 3150047, CONICYT, Chile, November 2014 - November 2016.


Difusión y Transferencia


Selected lectures in conferences:
- Displacement F.E.M. without spurious solutions in vibration problems for fluid-structure coupled systems. Plenary Talk. ENIEF-95: IX Congreso sobre Métodos Numéricos y sus Aplicaciones, Bariloche, Argentina, 1995.
- Displacement F.E.M. without spurious solutions in vibration problems for fluid-structure coupled systems. Plenary Talk. Cuarto Congreso Franco-Latinoamericano de Matemáticas Aplicadas. Concepción, Chile, 1995.
- Modeling and numerical solution of damped elastoacoustic vibration problems. A. Bermúdez, R. Rodriguez, Plenary Talk. ENIEF-97: X Congreso sobre Métodos Numéricos y Aplicaciones. Bariloche, Argentina, 1997.
- Modeling and numerical solution of elastoacoustic vibrations with interface damping. A. Bermúdez, R. Rodriguez. Keynote lecture. IV WCCM: Fourth World Conference on Computational Mechanics. Buenos Aires, Argentina, 1998.
- Finite element approximation of a quadratic eigenvalue problem arising in damped fluidstructure interactions. A. Bermúdez, R. Durán, R. Rodriguez, J. Solomin. MAFELAP 1999: X Conference on Mathematical Aspects of Finite Elements and Applications, University of Brunel, UK, 1999.
- A finite element method to compute damped vibration modes in dissipative acoustics A. Bermúdez, R. Durán, R. Rodriguez, J. Solomin. ECCOMAS 2000. European Congress on Computational Methods in Applied Science and Engineering, Barcelona, Spain, 2000.
- A posteriori error estimates for fluid-structure vibration problems. A. Alonso, A. Dello Russo, C. Padra, R. Rodriguez. AMIF, Applied Mathematics for Industrial Flows, Il Ciocco, Italy, 2000.
- Finite element solution of a fluid-structure vibration problem. A. Bermúdez, R. Rodriguez. Invited speaker. ICRACM-2001: International Conference on Recent Advances in Computational Mathematics, Matsuyama, Japan, 2001.
- A finite element method for the eddy currents problem in an electrode with input intensities as boundary data. A. Bermúdez, R. Rodriguez, P. Salgado. Semiplenary lecture. MECOM 2002: First South-American Congress on Computational Mechanics. Paraná, Argentina, 2002.
- Numerical analysis of problems arising from the modeling of a metallurgical arc furnace. A. Bermúdez, R. Rodriguez, P. Salgado. Plenary Talk. XVII Jornadas de Matemática de la Zona Sur, Trailanqui, Chile, 2003.
- A posteriori error estimates for the finite element approximation of eigenvalue problems. R. Durán, C. Padra, R. Rodriguez. Chemnitz FEM-Symposium 2003, Chemnitz, Germany, 2003.
- A posteriori error analysis for a large-scale ocean circulation finite element model. J.M. Cascón, G.C. Garcia, R. Rodriguez. Keynote lecture. ADMOS 2003: Adaptive Modeling and Simulation, Göteborg, Sweden, 2003.
- Finite element methods in local active control of sound. A. Bermúdez, P. Gamallo, R. Rodriguez. Invited speaker. INMAT-2003: II Congreso Internacional de Matemática Aplicada a la Ingenieria y Enseñanza de la Matemática en Ingenieria. Buenos Aires, Argentina, 2003.
- Numerical analysis of some problems arising in the modeling of a metallurgical arc furnace. A. Bermúdez, R. Rodriguez, P. Salgado. WONAPDE-2004: First Workshop on Numerical Analysis of PDE, Concepción, Chile, 2004.
- A posteriori error analysis for the finite element approximation of fluid-structure interaction vibration problems. R. Durán, C. Padra, R. Rodriguez. Workshop on Self-Adaptive Methods for PDE, Mathematisches Forschungsinstitut, Oberwolfach, Germany, 2004.
- PML exact absorbing boundary conditions for the acoustic wave equation. A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodriguez. Plenary talk. XV Congreso de Matemáticas Capricornio, COMCA, Antofagasta, Chile, 2005.
- PML exact absorbing boundary conditions for the acoustic wave equation. A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodriguez. Plenary talk. UMA 2005, LV Reunión Anual de la Unión Matemática Argentina, Salta, Argentina, 2005.
- Exact bounded PML for the Helmholtz equation. A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodriguez. Invited speaker. MNED 2005, Métodos Numéricos para Ecuaciones Diferenciales, Buenos Aires, Argentina, 2005.
- An exact bounded PML technique for the scattering of acoustic waves. A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodriguez. Invited speaker. Thematic session on Numerical Analysis. ICAM 2006: International Congress on the Applications of Mathematics, Santiago, Chile, 2006.
- An exact bounded PML technique for the scattering of acoustic waves. A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodriguez. Invited speaker. Variational Formulations in Mechanics: Theory and Applications, Laboratório Nacional de Computação Cientifica, Petrópolis, Brazil, 2006.
- A finite element method for the magnetostatic problem in terms of scalar potentials. A. Bermúdez, R. Rodriguez, P. Salgado. WONAPDE-2007: Second Workshop on Numerical Analysis of PDE, Concepción, Chile, 2007.
- Numerical approximation of the vibration modes of a Timoshenko curved rod of arbitrary geometry. R. Rodriguez, F. Sanhueza. Invited lecture. Thematic session on Numerical Analysis. UMA 2007, LVII Reunión Anual de la Unión Matemática Argentina, Córdoba, Argentina, 2007.
- Buckling of Reissner-Mindlin plates. C. Lovadina, D. Mora, R. Rodriguez. Invited lecture. Thematic session on Numerical Analysis. UMA 2008, LVIII Reunión Anual de la Unión Matemática Argentina, Mendoza, Argentina, 2008.
- Buckling of Reissner-Mindlin plates. C. Lovadina, D. Mora, R. Rodriguez. Keynote lecture. ENIEF 2008: XVII Congreso sobre Métodos Numéricos y sus Aplicaciones, San Luis, Argentina, 2008.
- A numerical method for an electromagnetic forming problem in axisymmetric domains. A. Bermúdez, C. Reales, R. Rodriguez, P. Salgado. Coupled Problems 2009: Computational Methods for Coupled Problems in Science and Engineering III, Ischia, Italy, 2009.
- Finite element model of an electromagnetic forming problem in axisymmetric domains. A. Bermúdez, C. Reales, R. Rodriguez, P. Salgado. Plenary lecture. Current & New Trends in Scientific Computing, CMM, Santiago, Chile, 2009.
- An efficient solver for a time-dependent eddy current problem in 3D. R. Acevedo, E. Behrens, S. Meddahi, R. Rodriguez. WONAPDE-2010: Third Workshop on Numerical Analysis of PDE, Concepción, Chile, 2010.
- Finite element solution of an eddy current time-dependent problem on moving domains arising from electromagnetic forming. A. Bermúdez, R. Muñoz, C. Reales, R. Rodriguez, P. Salgado. SIMAI-SEMA 2010, Cagliari, Italy, 2010.
- Numerical approximation of the spectrum of the curl operator. R. Rodriguez, P. Venegas. Plenary lecture. First Joint Meeting, Sociedad de Matemática de Chile - American Mathematical Society, Pucón, Chile, 2010.
- Analysis of an eddy current transient problem arising from the simulation of electromagnetic forming. A. Bermúdez, R. Muñoz, C. Reales, R. Rodriguez, P. Salgado. Plenary lecture. VIII Congreso Colombiano: Métodos Numéricos, Simulación en Ciencias y Aplicaciones Industriales, Medellin, Colombia, 2011.
- Spectral approximation of the curl operator. R. Rodriguez, P. Venegas. Invited speaker. NELIA 2011: Workshop on Numerical Electromagnetics and Industrial Applications, Santiago de Compostela, España, 2011.
- Spectral approximation of the curl operator. R. Rodriguez, P. Venegas. Invited speaker. Thematic session on Numerical Analysis. CLAM 2012, Córdoba, Argentina, 2012.
- Numerical approximation of Beltrami fields. R. Rodriguez, P. Venegas. Invited lecture. NAPDE: Numerical Analysis of PDE. Adaptivity, Error Control and Convergence. Gargnano del Garda, Italy, 2013.
- Spectral approximation of the curl operator in multiply connected domains. E. Lara, R. Rodriguez, P. Venegas. Invited lecture. Fluid Dynamics and Electromagnetism: Theory and Numerical Approximation. CIRM (Centro Internazionale per la Ricerca Matematica), Levico Terme, Italy, 2014.
- Finite element computation of Beltrami fields. R. Rodriguez. Semiplenary lecture. ENIEF 2014: XXI Congreso sobre Métodos Numéricos y sus Aplicaciones, Bariloche, Argentina, 2014.
- Finite element spectral approximation of the curl operator in multiply connected domains. R. Rodriguez. Semi-plenary speaker. Workshop C2: Foundation of Numerical PDE's. FoCM 2014: Foundation of Computational Mathematics, Montevideo, Uruguay, 2014.
- Finite element computation of force-free Beltrami fields. E. Lara, R. Rodriguez, P. Venegas. Semiplenary lecture. PANACM 2015: 1st. Pan-American Congress on Computational Mechanics, Buenos Aires, Argentina, 2015.
- Finite element spectral approximation of the curl operator in multiply connected domains. E. Lara, R. Rodriguez, P. Venegas. Semiplenary lecture. XX Congreso Colombiano de Matemáticas, Universidad Nacional de Colombia - Sede Manizales, Colombia, 2015.
- Finite element approximation of Beltrami fields in multiply connected domains. E. Lara, R. Rodriguez, P. Venegas. Minisimposium on Emerging PDEs: Analysis and Computation. ICIAM 2015: International Congress on Industrial and Applied Mathematics. Beijing,
China, 2015.
- Finite element spectral approximation of the curl operator in multiply connected domains. E. Lara, R. Rodriguez, P. Venegas. Invited lecture. Thematic session on Numerical Analysis. UMA 2015, LXIV Reunión Anual de la Unión Matemática Argentina, Santa Fe, Argentina, 2015.
- Residual-based a posteriori error estimator for the Maxwell's eigenvalue problem. R. Rodriguez, I. Sebestová. WONAPDE 2016: Fifth Workshop on Numerical Analysis of PDE, Concepción, Chile, 2016.
- Residual-based a posteriori error estimator for the Maxwell's eigenvalue problem. D. Boffi, L. Gastaldi, R. Rodriguez, I. Sebestová. AMFE 2016: Advances in Mathematics of Finite Elements, USACM/ICES, University of Texas, Austin, 2016.
- Residual-based a posteriori error estimator for the Maxwell's eigenvalue problem. D. Boffi, L. Gastaldi, R. Rodriguez, I. Sebestová. Invited lecture. Thematic session on Numerical Analysis of PDE. SUMA 2016: First Joint Meeting of Sociedad Matemática Chilena and Unión Matemática Argentina, Valparaiso, Chile, 2016.

Selected seminars:
- Asymptotically exact error estimators for finite element methods. Numerical Analysis Seminar, University of Maryland, College Park, USA, 1990.
- The quality assessment of finite element approximations. Instituto di Analisi Numerica, Università di Pavia, Italy, 1992.
- Asymptotically exact error estimators in the finite element method. Matematica, Università degli Studi di Milano, Italy, 1992.
- Vibration of media with fluid-structure interaction. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina, 1993.
- Finite element solution of vibration problems for coupled systems with fluid-structure interaction. Departamento de Matemática Aplicada. Universidade de Santiago de Compostela, Spain, 1995.
- Computation of the vibration modes of systems with fluid-structure interaction. Universidad de la Frontera, Temuco, Chile, 1997.
- Modeling and FE analysis of damped vibrations for fluid-structure coupled systems. Applied and Computational Math. Seminar, Penn. State University, State College, USA, 1999.
- Numerical analysis of a FEM to compute damped vibrations. Numerical Analysis Seminar, University of Maryland, College Park, USA, 1999.
- Modeling and computation of damped vibrations for fluid-structure interaction systems. Departamento de Matemática Aplicada y Computación. Universidad de Valladolid, Spain, 1999.
- Modeling and computation of damped vibrations for fluid-structure interaction systems. Seminario de Matemática Aplicada. Universidad de Santiago de Compostela, Spain, 1999.
- Analysis of a FEM for low-frequency harmonic Maxwell's equations. Instituto di Analisi Numerica, Università di Pavia, Italy, 2000.
- A finite element method to compute damped vibration modes in dissipative acoustics. Departamento de Matemática Aplicada. Universidad de Salamanca, Spain, 2001.
- A finite element method for the computation of damped vibration modes in dissipative acoustics. Departamento de Matemáticas. Universidad de A Coruña, Spain, 2002.
- Computing vibration modes of a fluid-plate coupled system. Laboratório Nacional de Computação Cientifica, Petrópolis, Brazil, 2003.
- Finite element techniques for active control of noise in enclosures. Laboratório Nacional de Computação Cientifica, Petrópolis, Brazil, 2003.
- Finite element analysis of an electromagnetic problem arising from the simulation of metallurgical electrodes. Programme Computational Challenges in PDEs. Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK, 2003.
- A finite element method for ocean circulation modeling. Departamento de Matemáticas. Universidad de A Coruña, Spain, 2004.
- Efficient finite element solution of pure Neumann problems. Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Spain, 2005.
- Finite element methods for active noise control. Departamento de Matemática Aplicada II, Universidade de Vigo, Spain, 2005.
- An exact bounded perfectly matched layer for time-harmonic scattering problems. Instituto di Analisi Numerica, Università di Pavia, Italy, 2005.
- Finite element methods in active control of sound. Facultad de Ingenieria, Universidad Nacional de La Plata, Argentina, 2005.
- PML exact absorbing conditions for the wave equation. Departamento de Matemáticas, Universidad de Oviedo, España, 2007.
- Finite element methods in active control of sound. Departamento de Ingenieria Estructural y Geotécnica, Pontificia Universidad Católica de Chile, Santiago, Chile, 2007.
- Buckling of Reissner-Mindlin plates. Seminario de Matemática Aplicada. Universidad de Santiago de Compostela, Spain, 2009.
- Numerical approximation of Beltrami fields. Seminario de Matemática Aplicada. Universidad de Santiago de Compostela, Spain, 2009.
- Numerical approximation of the spectrum of the curl operator. Departamento de Matemática. Universidad Nacional, Sede Medellin, Colombia, 2011.
- Numerical approximation of Beltrami fields in multiply connected domains. Seminario SIMNUMAR, Departamento de Matemáticas, Facultade de Informática, Universidade da Coruña, Spain, 2015.
- An eddy current time-dependent problem on moving domains arising from electromagnetic forming. Department of Applied Mathematics, Communication University of China, Beijing, China, 2015.
- Finite element spectral approximation of the curl operator in multiply connected domains. Department of Applied Mathematics, Communication University of China, Beijing, China, 2015.
- Residual-based a posteriori error estimator for the Maxwell's eigenvalue problem. Seminario de Matemática Aplicada, Universidade de Santiago de Compostela, España, 2016.

Selected short courses:
- Environmental Modeling: Quality Models for Water River Systems (10 hours). Summer School on Environmental Science, Centro de Ciencias Ambientales EULA-Chile, Universidad de Concepción, Chile, 2003.
- Finite Element Methods for Fluid-Structure Vibration Problems (10 hours). V Winter School Luis A. Santaló, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina, 2012.
- Finite Element Numerical Solution of Partial Differential Equations (12 hours). Escuela de Matemática de América Latina y el Caribe (EMALCA), Universidad Nacional de la Patagonia San Juan Bosco, Puerto Madryn, Argentina, 2012.
- Finite Element Numerical Solution of Partial Differential Equations (12 hours). Escuela de Matemática de América Latina y el Caribe (EMALCA), Universidad de Costa Rica, Sede del Atlántico, Turrialba, Costa Rica, 2014.
- Numerical Approximation of Low-Frequency Problems (7 hours). Summer School of CIME (Centro Internazionale Matematico Estivo) on Computational Electromagnetism, Cetraro, Italy, 2014.
- The Spectral Problem for the Curl Operator (3 hours). VIII Encontro Nacional de Análise Matemática e Aplicações, ENAMA-2014, Universidade Federal de Pernambuco, Recife, Brazil, 2014.


Premios y Distinciones

  •   Premio Municipal de Ciencias

    ILUSTRE MUNICIPALIDAD DE CONCEPCION

    Chile, 2005

    Premio Municipal de Ciencias "Ciudad de Concepción".

  •   AMS Fellow

    AMERICAN MATHEMATICAL SOCIETY

    Estados Unidos, 2012

    Inaugural Class of Fellows


 

Article (115)

Numerical analysis of a penalty approach for the solution of a transient eddy current problem
Numerical analysis of a time domain elastoacoustic problem
A Posteriori Error Estimates for Maxwell's Eigenvalue Problem
ACOUSTIC VIBRATION PROBLEM FOR DISSIPATIVE FLUIDS
Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
Numerical solution of a transient three-dimensional eddy current model with moving conductors.
A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings
Combining the DPG Method with Finite Elements
Convergence of a lowest-order finite element method for the transmission eigenvalue problem
Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain
A posteriori error estimates for a Virtual Element Method for the Steklov eigenvalue problem
A virtual element method for the acoustic vibration problem
ANALYSIS OF AN UNGAUGED T,phi-phi FORMULATION OF THE EDDY CURRENT PROBLEM WITH CURRENTS AND VOLTAGE EXCITATIONS
Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings
Residual-based a posteriori error estimation for the Maxwell's eigenvalue problem
A transient eddy current problem on a moving domain. Numerical analysis
Assessment of two approximation methods for the inverse problem of electroencephalography.
Finite Element Analysis of a Bending Moment Formulation for the Vibration Problem of a Non-homogeneous Timoshenko Beam
SPECTRAL APPROXIMATION OF THE CURL OPERATOR IN MULTIPLY CONNECTED DOMAINS
A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem
A virtual element method for the Steklov eigenvalue problem
Numerical analysis of a transient non-linear axisymmetric eddy current model
Numerical approximation of Maxwell equations in low-frequency regime
A posteriori error estimates for the problem of electrostatics with a dipole source
Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem
Locking-free finite element method for a bending moment formulation of Timoshenko beams
NUMERICAL APPROXIMATION OF THE SPECTRUM OF THE CURL OPERATOR
Physical and Spurious Modes in Mixed Finite Element Formulation for the Galbrun Equation
A TRANSIENT EDDY CURRENT PROBLEM ON A MOVING DOMAIN. MATHEMATICAL ANALYSIS
AN EDDY CURRENT PROBLEM IN TERMS OF A TIME-PRIMITIVE OF THE ELECTRIC FIELD WITH NON-LOCAL SOURCE CONDITIONS
FINITE ELEMENT SPECTRAL ANALYSIS FOR THE MIXED FORMULATION OF THE ELASTICITY EQUATIONS
Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model
NUMERICAL SOLUTION OF A TRANSIENT NONLINEAR AXISYMMETRIC EDDY CURRENT MODEL WITH NONLOCAL BOUNDARY CONDITIONS
A FINITE ELEMENT METHOD FOR STIFFENED PLATES
An hp Adaptive Strategy to Compute the Vibration Modes of a Fluid-Solid Coupled System
AN hp FINITE ELEMENT METHOD TO SOLVE A FLUID-SOLID VIBRATION PROBLEM
Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem
Numerical analysis of a transient eddy current axisymmetric problem involving velocity terms
Numerical solution of transient eddy current problems with input current intensities as boundary data
A FICTITIOUS DOMAIN METHOD FOR THE NUMERICAL TWO-DIMENSIONAL SIMULATION OF POTENTIAL FLOWS PAST SAILS
A LOCKING-FREE FINITE ELEMENT METHOD FOR THE BUCKLING PROBLEM OF A NON-HOMOGENEOUS TIMOSHENKO BEAM
An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations
Finite-element analysis of a static fluid-solid interaction problem
NUMERICAL ANALYSIS OF A FINITE ELEMENT METHOD TO COMPUTE THE VIBRATION MODES OF A REISSNER-MINDLIN LAMINATED PLATE
APPROXIMATION OF THE BUCKLING PROBLEM FOR REISSNER-MINDLIN PLATES
Equivalence between two finite element methods for the eddy current problem
Numerical analysis of a finite-element method for the axisymmetric eddy current model of an induction furnace
A PIECEWISE LINEAR FINITE ELEMENT METHOD FOR THE BUCKLING AND THE VIBRATION PROBLEMS OF THIN PLATES
AN E-BASED MIXED FORMULATION FOR A TIME-DEPENDENT EDDY CURRENT PROBLEM
Approximation of the vibration modes of a Timoshenko curved rod of arbitrary geometry
A finite element method for the magnetostatic problem in terms of scalar potentials
FINITE ELEMENT APPROXIMATION OF THE VIBRATION PROBLEM FOR A TIMOSHENKO CURVED ROD
An adaptive stabilized finite element scheme for a water quality model
An exact bounded perfectly matched layer for time-harmonic scattering problems
An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
Analysis of the A, V-A-psi potential formulation for the eddy current problem in a bounded domain
Error estimators for advection-reaction-diffusion equations based on the solution of local problems
Validation of acoustic models for time-harmonic dissipative scattering problems
A posteriori error estimates for elliptic problems with Dirac delta source terms
Approximation of a structural acoustic vibration problem by hexahedral finite elements
Two discretization schemes for a time-domain dissipative acoustics problem
An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation
Approximation properties of lowest-order hexahedral Raviart-Thomas finite elements
FEM for 3D eddy current problems in bounded domains subject to realistic boundary conditions. An application to metallurgical electrodes
Finite element methods in local active control of sound
Numerical analysis of electric field formulations of the eddy current model
Numerical solution of eddy current problems in bounded domains using realistic boundary conditions
Numerical treatment of realistic boundary conditions for the eddy current problem in an electrode via lagrange multipliers
Accurate pressure post-process of a finite element method for elastoacoustics
An exact bounded PML for the Helmholtz equation
Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem
Finite element approximation of spectral acoustic problems on curved domains
Finite element methods in local active control of sound
Numerical treatment of realistic boundary conditions for the eddy current problem in an electrode via lagrange multipliers
A posteriori error estimates for the finite element approximation of eigenvalue problems
A priori and a posteriori error analysis for a large-scale ocean circulation finite element model
Computation of the vibration modes of plates and shells by low-order MITC quadrilateral finite elements
Error estimates for low-order isoparametric quadrilateral finite elements for plates
Finite element analysis of pressure formulation of the elastoacoustic problem
Finite element approximation of a displacement formulation for time-domain elastoacoustic vibrations
Finite element approximation of spectral problems with Neumann boundary conditions on curved domains
Finite element computation of sloshing modes in containers with elastic baffle plates
Numerical analysis of the electric field formulation of an eddy current problem
A finite element method with Lagrange multipliers for low-frequency harmonic Maxwell equations
A modal synthesis method for the elastoacoustic vibration problem
Analysis of a finite element method for pressure/potential formulation of elastoacoustic spectral problems
Modeling and numerical treatment of boundary data in an eddy currents problem
Modeling and numerical treatment of boundary data in an eddy currents problem Modélisation et traitement numérique des conditions aux limites dans un problème des courants de Foucault
A hexahedral face element for elastoacoustic vibration problems
A posteriori error estimates and a local refinement strategy for a finite element method to solve structural-acoustic vibration problems
An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
An hexahedral face element method for the displacement formulation of structural acoustics problems
Efficient solution of fluid-structure vibration problems
Finite element analysis of a quadratic eigenvalue problem arising in dissipative acoustics
Finite element computation of the vibrations of a plate-fluid system with interface damping
A Finite element solution of an added mass formulation for coupled fluid-solid vibrations
Finite element analysis of a quadratic eigenvalue problem arising in dissipative acoustics
Finite element analysis of the vibration problem of a plate coupled with a fluid
Modelling and numerical solution of elastoacoustic vibrations with interface damping
Finite element analysis of sloshing and hydroelastic vibrations under gravity
FINITE ELEMENT COMPUTATION OF THREE-DIMENSIONAL ELASTOACOUSTIC VIBRATIONS
Finite element analysis of compressible and incompressible fluid-solid systems
Finite element solution of incompressible fluid-structure vibration problems
The order of convergence of eigenfrequencies in finite elementapproximations of fluid-structure interaction problems
Finite element computation of the vibration modes of a fluid—solid system
Some remarks on Zienkiewicz-Zhu estimator
The problem of the selection of ana posteriori error indicator based on smoothening techniques
Asymptotically Exact Error Estimators for Rectangular Finite Elements
Basic problems of a posteriori error estimation
On the asymptotic exactness of Bank-Weiser's estimator
Quality assessment of the a-posteriori error estimation in finite elements
On the asymptotic exactness of error estimators for linear triangular finite elements
A stable method to estimate perturbations in differential equations
Phase-locking of lasers with injected signal fluctuations
Shift of the coordinate origin in calculating resonances by dilatation transformation

ConferencePaper (1)

Galbrun's equation solved by a first order characteristics method

EditorialMaterial (4)

Special Issue: Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2013), Universidad de Concepcion, Chile
Special Issue: Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE), 11-15 January 2010, Universidad de Concepcion, Chile Preface
Special Issue: Second Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2007) Preface
Selected papers from the first Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2004) - Preface

Errata (1)

Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain (vol 18, pg 1493, 2018)

Proyecto (1)

FINITE ELEMENT SOLUTION OF FLUID-STRUCTURE INTERACTION PROBLEMS.

Review (2)

Perfectly Matched Layers for Time-Harmonic Second Order Elliptic Problems
FEM for 3D eddy current problems in bounded domains subject to realistic boundary conditions. An application to metallurgical electrodes
118
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

13
David Mora

Associate Professor

Department of Mathematics

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile

7
Rodolfo Araya

Full Professor

Mathematical Engineering

DEPARTAMENTO DE INGENIERIA MATEMATICA, UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

6
Erwin Hernandez

Profesor Titular

Departamento de Matemática

Universidad Tecnica Federico Santa María

Valparaíso, Chile

4
Pablo Venegas

Profesor Asistente

Departamento de Matemática

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

4
FRANK SANHUEZA

ACADEMICO

INGENIERIA CIVIL

UNIVERSIDAD CATOLICA DE LA SANTISIMA CONCEPCION

CONCEPCION, Chile

4
Jessika Camaño

Associate Professor

Departamento de Matemática y Física Aplicadas

UNIVERSIDAD CATOLICA DE LA SANTISIMA CONCEPCION

Concepción, Chile

4
Gabriel Gatica

Senior Researcher and Full Professor

Center for Research in Mathematical Engineering and Department of Mathematical Engineering

Universidad de Concepcion

Concepcion, Chile

3
Raimund Bürger

Profesor Titular (Full Professor)

CI2MA & Departamento de Ingeniería Matemática

UNIVERSIDAD DE CONCEPCIÓN

Concepción, Chile

3
Gonzalo Rivera

Académico

Ciencias Exactas

Universidad de Los Lagos

Osorno, Chile

3
Felipe Lepe

Assistant Professor

Mathematics

Universidad del Bío-Bío

Concepción, Chile

2
Enrique Otarola

Assistant Professor

Departamento de Matemática

Universidad Técnica Federico Santa María

Valparaíso, Chile

2
Manuel Solano

Associate Professor

Ingeniería Matemática

Universidad de Concepción

Concepcion, Chile

1
Mauricio Sepúlveda

Profesor Titular

Department of Mathematical Engineering

Universidad de Concepción

Concepción, Chile

1
Enrique Otarola

Profesor Asociado

Matemática

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Santiago, Chile

1
Michael Karkulik

Profesor Asistente

Departamento de Matemática

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Valparaíso, Chile

1
Norbert Heuer

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE, FACULTAD DE MATEMATICAS

Santiago, Chile

1
Thomas Führer

Profesor Asistente

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

1
eduardo sepulveda

Estudiante Phd

Ingeniería Industrial

universidad de chile

Santiago, Chile

1
Norbert Heuer

Profesor Titular

Matemática

Pontificia Universidad Católica de Chile

Santiago, Chile