Publications

Articles

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8. Barrenechea, G., Jaillet, F., Paredes, D., Valentin, F. "The Multiscale Hybrid Mixed Method in General Polygonal Meshes", submitted to Numerische Mathematik

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7. Lanteri, S., Paredes, D., Scheid, C. and Valentin, F. "The Multiscale Hybrid-Mixed Method for the Maxwell Equations in Heterogeneous Media", Multiscale Modeling & Simulation, Vol. 16(4), pp. 1648-1683, 2018

 

6. Paredes, D., Valentin F. and Versieux, H. "On the Robustness of multiscale hybrid-mixed methods", Mathematics of Computation, Vol. 86(304), pp. 525-548, 2017

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​5. Harder, C., Paredes, D. and Valentin, F. "On a Multiscale Hybrid-Mixed Method for Advective-Reactive Dominated Problems with Heterogeneous Coefficients", Multiscale Modeling & Simulation, Vol. 13(2), pp. 491-518, 2015

 

4. Araya, R., Harder, C., Paredes, D. and Valentin, F. "Multiscale Hybrid-Mixed Methods", SIAM Journal on Numerical Analysis, Vol. 51(6), pp. 3505-3531, 2013

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3. Harder, C., Paredes, D. and Valentin, F. "A Family of Multiscale Hybrid Mixed Finite Element Methods for the Darcy Equation with Rough Coefficients", Journal of Computational Physics, Vol. 245, pp. 107-130, 2013

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2. Fernando, H., Harder, C., Paredes, D. and Valentin, F. "Numerical Multiscale Methods for a Reaction Dominated Model", Computer Methods in Applied Mechanics and Engineering, Vol. 201, pp. 228-204, 2012

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1. Gomes, A.T.A., Paredes, D. and Valentin, F. "Supporting the Perpetuation and Reproducibility of Numerical Method Publications", Procedia Computer Science, Vol. 3, pp. 688-696, 2011

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Talks

 

1. A Multiscale Hybrid-Mixed Method for the Maxwell equations in time domain, International Conference on Spectral and High Order Methods 2016, Rio de Janeiro, Brazil

2. A Multiscale Hybrid-Mixed Method for the Maxwell equations in time domain, Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations 2016, Concepcion, Chile

3. Multiscale Hybrid-Mixed Method for Advective-Reactive Dominated Problems with Heterogeneous Coefficients, 26th edition of the Biennial Numerical Analysis Conference University of Strathclyde , Glasgow, Scotland U.K.

4. Multiscale Hybrid-Mixed Method for Porous Media Problems, First Pan American Congresses on Computational Mechanics 2015, Buenos Aires, Argentina

5. Multiscale Hybrid Mixed Method for Porous Media Problems, Valparaíso’s Mathematics and its Applications Days 2015, Vaparaíso, Chile

6. Multiscale Hybrid-Mixed Method for the Maxwell Equations in Time Domain, Fourth, Third Brazil-France Workshop, High performance computing and scientific data management driven by highly demanding applications 2014, Gramado, Brazil

7. A Novel Adaptivity Process for Reaction Advection-Difusion Problems, Third Brazil-France Workshop, High performance computing and scientific data management driven by highly demanding applications 2013, Bordeaux, France

8. A multiscale hybrid mixed finite element method for advection difussion problems, Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations 2013, Concepcion, Chile

9. A multiscale hybrid mixed finite element method for advection-dominated problems, 10th World Congress on Computational Mechanics 2012, São Paulo, Brazil

10. Supporting the Perpetuation and Reproducibility of Numerical Method Publications, International Conference on Computational
    Science 2011, Singapore, Singapore

 

Thesis

 

 "Novos Métodos de Elementos Finitos Multi-escalas: Teoria e Aplicações", LNCC, Brazil, 2013.