UMA Home page for Jerónimo Rodríguez
Rodríguez
Jerónimo
POEMS team
Former member
was: researcher
was: researcher
Ph.D. 2004
EMAIL_TEMPLATE
Research activities
- Reduced basis methods for wave propagation problems.
- Space-time mesh refinement methods for wave propagation problems.
- Fictitious domain method for time dependent wave propagation problems.
- Hybrid methods.
Teaching activities
Teaching at ENSTA:
- AO101 Teaching assistant (2005 -- 2006).
- MA103 Teaching assistant (2005 -- 2007).
- MA206 Teaching assistant (2006 -- 2007).
Publications
Papers in peer-reviewed journals
2018
- Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements
, , and
Journal of Scientific Computing, Springer Verlag, 2018
2016
- Mathematical Aspects of variational boundary integral equations for time dependent wave propagation
and
Journal of Integral Equations and Applications, Rocky Mountain Mathematics Consortium, 2016
2011
- Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains
, , and
J. Comput. Phys., vol. 230, 15, pp. 58775907, 2011
2009
- Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition
, and
Mathematical Modelling and Numerical Analysis, vol. 43 (2), pp. 377--398, 2009 - Improved Successive Constraint Method Based A Posteriori Error Estimate for Reduced Basis Approximation of 2D Maxwells Problem
, , and
ESAIM: Mathematical Modelling and Numerical Analysis, vol. 43(6), pp. 1099--1116, aug, 2009 - Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study
and
Journal of Computational and Applied Mathematics, vol. 234(6), pp. 1953-1961, sep, 2009 - The Fictitious domain method and applications in wave propagation. Part A and B: The acoustic and the elastic case.
, and
ECCOMAS Thematic Conference, COMPDYN (Computational Methods in Structural Dynamics & Earthquake Engineering), 2009
2008
- A Monotonic Evaluation of Lower Bounds for Inf-Sup Stability Constants in the Frame of Reduced Basis Approximations
, , and
C. R. Acad. Sci. Paris, Ser. I, vol. 346 (23-24), pp. 1295--1300, jun, 2008 - A Spurious-Free Space-Time Mesh Refinement for Elastodynamics
International Journal for Multiscale Computational Engineering, vol. 6 (3), pp. 263-279, 2008
2007
- A fictitious domain method with mixed finite elements for elastodynamics
, and
SIAM J. Sci. Comput., vol. 29 (3), pp. 1244--1267, may, 2007
2005
- An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the 1D Wave Equation
and
SIAM Journal on Numerical Analysis, vol. 43, pp. 825-859, 2005 - Space-time mesh refinement for elastodynamics. Numerical results
, and
Comput. Methods Appl. Mech. Engrg., vol. 194, pp. 355-366, feb, 2005
2004
- Une nouvelle méthode de raffinement de maillage spatio-temporel pour l'équation des ondes
Comptes Rendus Mathematique, vol. 339(6), pp. 445-450, aoû 2004
Chapter
2008
- Space time mesh refinement methods. ``Effective computational methods for
wave propagation'',
, and
Numer. Insights, vol. 5, pp. 385--424, Chapman & Hall/CRC, 2008
International conferences with proceedings
2005
- A Lagrange multiplier free space-time mesh refinement method for wave propagation problems
, and
7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05). Brown University (USA), jun, 2005
2003
- Space-Time Mesh Refinement for the Elastodynamic Equations.
, and
pp. 313-318, Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Springer, jun, 2003
Conferences without proceedings
2008
- A Posteriori Error Estimation in the Frame of Reduced Basis Approximations
Séminaire du Département de Génie Mathématique et Modélisation, INSA, Toulouse, dec, 2008 - Coupling Discontinuous Galerkin Methods and Retarded Potentials for Time Dependent Wave Propagation Problems
, and
5th European Congress in Computational Methods in Applied Sciences and Engineering, jul, 2008 - La méthode de domaines fictifs pour la diffraction dondes avec de conditions aux limites de Neumann
Journée Thématique "Frontières immergées et applications", LATP, Marseille, nov 2008 - Reduced Basis Output Bounds for Harmonic Wave Propagation Problems
Séminaire interne du CERFACS, Toulouse, feb, 2008
2007
- Certified DG-FEM Reduced Basis Methods and Output Bounds for the Harmonic Maxwells Equations.
, and
International Workshop on High-Order Finite Element Methods (HOFEM). Herrsching, Germany, may, 2007 - El método de bases reducidas aplicado a problemas de propagación de ondas en régimen armónico
Departamento de Matemática Aplicada de la Universidad de Santiago de Compostela. Spain, avr 2007 - Higher order time stepping for second order hyperbolic problems and optimal CFL conditions
, and
The 8th International Conference on Mathematical and Numerical Aspects of Waves, jul, 2007 - La méthode de bases réduites pour des problèmes de propagation d'ondes en régime harmonique
Séminaire GTN. Université de Cergy-Pontoise, Cergy-Pontoise, France, avr 2007 - Présentation et analyse des méthodes de raffinement de maillage espace-temps conservatives pour des problèmes de propagation d'ondes
, et
8eme Colloque en Calcul des Structures. Giens, France, mai 2007 - Reduced basis output bounds for harmonic wave propagation problems
, and
The 8th International Conference on Mathematical and Numerical Aspects of Waves, jul, 2007
2005
- Analysis of a space-time mesh refinement method for wave propagation problems
, and
The Sixth European Conference on Numerical Mathematics and Advanced Applications (ENUMATH'05). Universidad de Santiago de Compostela, Spain, jul, 2005 - Reduced Basis Methods for Wave Propagation Problems
CAMP. Department of Mathematics. University of Chicago. USA, nov, 2005 - Refinamiento de mallado espacio-temporal aplicado a la elastodinámica
Departamento de Matemática Aplicada de la Universidad de Santiago de Compostela. Spain, feb, 2005
2004
- A New Space-time Mesh Refinement Method for Elastodynamics
and
The Fourth European Congress on Computational Methods in Applied Sciences and Engineering (Eccomas 2004). Jyväskylä, Finland, 2004 - Une Nouvelle Méthode de Raffinement de Maillage Local Spatio-Temporel. Application à l'Élastodynamique
Séminaire de calcul scientifique du CERMICS. Marne-la-Vallée. France, mai 2004 - Une Technique de Raffinement de Maillage Spatio-Temporel pour l'Élastodynamique
Séminaire du CEA-CESTA. Bordeaux. France, nov 2004
2003
- Raffinement de maillage local spatio-temporel pour les équations de l'élastodynamique
, et
35éme Congrés National d'Analyse Numérique. La Grande Motte, France, jun 2003 - Space-time mesh refinement for the elastodynamic equations
and
The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves 2003). Jyväskylä, Finland, jul, 2003
2002
- Space-time mesh refinement for the elastodynamic equations
and
14th International Conference in Domain Decomposition. Morelos, Mexico, jan, 2002
Doctoral these
2004
- Raffinement de Maillage Spatio-Temporel pour les Équations de l'Élastodynamique
EDDIMO, déc 2004 []
Research report
2006
- On the convergence of the fictitious domain method for wave propagation problems
, and
Technical Report 5802 INRIA, pp. 37, jan, 2006