ARTICLES

Barrenechea, G. R. and Valentin, F. " A Residual Local Projection Method for the Oseen Equation ", to appear in Computer Methods in Applied Mechanics and Engineering



Barrenechea, G.R. and Valentin, F. "Beyond Pressure Stabilization: A Low Order Local Projection Method for the Oseen Equation ", Submitted



Araya, R., Poza, H.P. and Valentin, F. "On a Hierarchical Estimator Driven by a Stabilized Method for the Navier-Stokes Equations", Submitted



Franca, L.P, Harder, C. and Valentin, F. " On a Residual Local Projection Method for the Darcy Equation ", C. R. Acad. Sci Paris, Ser. I 347, pp. 1105-1110, 2009



Barrenechea, G.R. and Valentin, F. "Consistent Local Projection Stabilized Finite Element Methods", Submitted



Barrenechea, G. R., Franca, L. P. and Valentin, F. " A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation ", SIAM Journal on Numerical Analysis, Vol. 4, No. 5, pp. 3652-3677, 2009



Allendes, A, Barrenechea, G.R., Hernandez, E. and Valentin, F. " A Two-Level Enriched Finite Element Method for a Mixed Problem ", to appear in Mathematics of Computation



Oliveira, S. P. and Madureira, A. L. and Valentin, F. " Weighted Quadrature Rules for Finite Element Methods ", Journal of Computational and Applied Mathematics, Vol. 227, No. 1, pp. 93-101, 2008



Araya, R., Barrenechea, R. G., Franca, L. P and Valentin, F. " Stabilization Arising from PGEM: a Review and Further Developments ", Applied Numerical Mathematics, Vol. 59, pp. 2065-2081, 2009



Franca, L. P., Barrenechea, R.G and Valentin, F. " A Petrov-Galerkin Enriched Method: A Mass Conservative Finite Element Method for the Darcy Equation ", Computer Methods in Applied Mechanics and Engineering, No. 196, Vol. 21-24, pp. 2449-2464, 2007



Madureira, A. L. and Valentin F. " Asymptotics of the Poisson Problem in Domains with Curved Rough Boundaries ", SIAM Mathematical Analysis, Vol. 44, No. 1, pp. 322-348, 2007



Araya, R., Barrenechea, G. R. and Valentin, F. " A Stabilized Finite Element Method for the Stokes Problem Including Element and Edge Residuals ", IMA Journal of Numerical Analysis, Vol. 27, pp. 172--197, 2007



Franca, L. P., Ramalho, J. V. and Valentin, F. " Enriched Finite Element Methods for Unsteady Reaction-Diffusion Problems ", Communications in Numerical Methods in Engineering, Vol. 22, No. 6, pp. 619-625, 2006



Araya, R., Barrenechea G. R. and Valentin F. " Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem ", SIAM Numerical Analysis, Vol. 44, No. 1, pp. 322-348, 2006



Barrenechea G. R. and Valentin F. " Relationship between Multiscale Enrichment and Stabilized Finite Element Methods for the Generalized ", C. R. Acad. Sci. Paris, Ser. I, Vol. 341, No. 10, pp. 635-640, 2005



Franca, L.P., Madureira, A.L., Tobiska, T., and Valentin F. " Convergence Analysis of a Multiscale Finite Element Method for Singularly Perturbed Problems ", SIAM Multiscale Methods and Simulation, Vol. 4, No. 3, pp. 839-866, 2005



Franca, L. P., Ramalho, J. V. A., and Valentin, F. " Multiscale and Residual-Free Bubble Functions for Reaction-Advection-Diffusion Problems ", International Journal for Multiscale Computational Engineering, Vol. 3, No. 3, pp. 297-312, 2005



Franca, L.P., Madureira, A.L., and Valentin F. " Towards Multiscale Functions: Enriching Finite Element Spaces with Local but Not Bubble-Like Functions ", Computer Methods in Applied Mechanics and Enginnering, Vol. 194, No. 27-29, pp. 3006-3021, 2005



Araya, R and Valentin F. " A Multiscale A Posteriori Error Estimate ",Computer Methods in Applied Mechanics and Enginnering, Vol. 194, No. 18-20, pp. 2077-2094, 2005.



Barrenechea G. R. and Valentin F. " An Unusual Stabilized Finite Element Method for a Generalized Stokes Problem ", Numeriche Mathematik, No. 92, pp. 653-677, 2002.



Barrenechea G. R., LeTallec P. and Valentin F. " New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations ", M2AN, Vol. 36, No. 2, pp. 177-203, 2002



Madureira, A. L. and Valentin, F. " Analysis of Curvature Influence on Effective Boundary Conditions ", C. R. Acad. Sci. Paris, Ser. I 335, pp. 499-504, 2002.



Franca L. P. and Valentin, F. " On an Improved Unusual Stabilized Finite Element Method for the Advective-Reactive-Diffusive Equatio ", Computer Methods in Applied Mechanics and Enginnering, Vol. 190, No. 13-14, pp. 1785-1800, 2000



Achdou, Y., Pironneau, O. and Valentin, F. " Effective Boundary Condition for Laminar Flows over Rough Boundaries ", Journal of Computational Physics, Vol. 147, No. 1, pp. 187-218, 1998.



Achdou, Y., LeTallec, P., Valentin, F. and Pironneau, O. " Constructing Wall Laws with Domain Decomposition or Asymptotic Expansion Techniques ", Computer Methods in Applied Mechanics and Enginnering, No.151, pp. 215-232, 1998.



Mohammadi, B., Pironneau, O. and Valentin, F. " Rough Boundaries and Wall Laws ", International Journal of Numerical Methods in Fluids, Vol. 27 No. 1-4, pp. 169-177, 1998



Achdou, Y., Mohammadi, B., Pironneau, O. and Valentin, F. "Domain Decomposition and Wall Laws", Surikaisekikenkyusho, No. 989, pp. 42-55, 1997.



Valentin, F. and Franca, L. P. " Combining Stabilized Finite Element Method ", Computational and Applied Mathematics, Vol. 14, No. 3, pp. 285-300, 1995.







BOOKS

Achdou, Y., Pironneau, O. and Valentin, F. "Shape Control versus Boundary Control", Equations aux Dérivées Partielles et Applications (eds. Murat F. et al.), Elsevier, France, 1998







PROCEEDINGS

Franca L.P., Madureira A. L. and Valentin F. " A Multiscale Finite Element Method ",4th ECCOMAS, Jyväskylä, Finland, July 24-28, 2004.



Madureira, A. L. and Valentin, F. " Analysis of Curvature Influence on Effective Boundary Conditions ", ENUMATH-2001, Ischia, Italy, July 23-28, 2001.



Achdou, Y., Pironneau, O. and Valentin, F. " Nouvelle Loi de Paroi pour les Équations de Navier-Stokes : Application aux Écoulements à Haut Reyno ", 30 ème Congrés National d'Analyse Numérique - CANum'98, Arles, France, 1998



Franca L.P., Madureira A. L. and Valentin F. "Modeling Multiscale Phenomena via Finite Element Methods", WCCM V, Vienna, Austria, July 8-12, 2002.



Barrenechea R. G., LeTallec P. and Valentin F. " A Stabilized Finite Element Method for a Generalized Stokes Problem ",6th US National Congress on Computational Mechanics, Dearborn, Michigan, USA, August 1-4, 2001.



Achdou Y., Pironneau O. and Valentin F. " Comparison of Wall Laws for Unsteady Incompressible Navier-Stokes Equations ",First MIT Conference on Computational Fluid and Solid Mechanics, Boston, USA, June 12-15, 2001.



Achdou Y., Pironneau O. and Valentin F. " New Wall Laws for Unsteady Incompressible Navier-Stokes Equations ",ECCOMAS 2000, Barcelona, Spain, 2000



Achdou Y., Pironneau O. and Valentin F. " A Stabilized Finite Element Method for Incompressible Navier-Stokes Equations Satisfying Wall Laws ",XX CILAMCE, Sao Paulo, Brazil, 1999.



Franca L.P. and Valentin F. "On an Improved Unusual Stabilized Finite Element Method for the Advective-Reactive-Diffusive Equatio", Fifth U.S. National Congress on Computational Mechanics, University of Colorado at Boulder, USA, August 4-6, 1999.



Achdou Y., Pironneau O. and Valentin F. "Ocean-Atmosphere Boundary Conditions Matching over Wavy Surfaces by Domain Decomposition and Asympto", ENUMATH99, Jyvashyla, Finland, July, 1999.



Achdou Y., Pironneau O. and Valentin F. " The Wall Laws for Rough Domains by Asymptotic Analysis ",Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998.



Achdou Y., LeTallec P., Valentin F. and Pironneau O. "Constructing Wall Laws with Domain Decomposition or Asymptotic Expansion Techniques", Workshop held on ocasion of the J. T. Oden's sixtieth birthday, Austin, USA, 1997.



Achdou Y., LeTallec P., Valentin F. and Pironneau O. " Construction des Lois de Parois par Développement Asymptotique ",29 ème Congrés National d'Analyse Numérique - CANum'97, Larnas, France, 1997.



Mohammadi B., LeTallec P., Pironneau O. and Valentin F. " Interfaces Rugueuses et Lois de Paroi : Application aux Écoulements Compressibles Turbulents ",28 ème Congrés National d'Analyse Numérique - CANum'96, La Londe-Les Maures, France, 1996.



Achdou Y., Mohammadi B., Pironneau O. and Valentin F. "Domain Decomposition and Wall Laws", Domain Decomposition Methods and Related Problems, Kyoto, Japan, 1995.



Mohammadi B., Pironneau O. and Valentin F. "Rough Boundaries and Wall Laws", Ninth International Conference in Finite Elements for Fluids, Venice, Italy, 1995.



Mohammadi B., Pironneau O. and Valentin F. "Wall Laws for Rough Interfaces", CRM - Workshop on Euler and Navier-Stokes Equations, Montreal, Canada, 1995.







REPORTS

Valentin, F. and Franca, L. P. " Combining Stabilized Finite Element Methods ", Report of University of Colorado at Boulder, No. , 1995.



Franca L.P. and Valentin F. " On an Improved Unusual Stabilized Finite Element Method for the Advective-Reactive-Diffusive Equatio ", Report of University of Colorado at Boulder, No. , USA, 1999 (or Report of Laboratório Nacional de Computação Científica - LNCC, Brazil, No 09/99, 1999).



Valentin F. " Méthode d'Élement Finis Stabilisée pour les Équations de Navier-Stokes Incompressible avec des Condi ", Rapport de Recherche INRIA, No. 3480, 1998.



Achdou Y., Pironneau O. and Valentin F. " Construction des Lois de Paroi d'Ordre 1 et 2 pour des Domaines Rugueux par Analyse Asymptotique ", apport de Recherche INRIA, No. 3357, 1998.



Achdou Y., Pironneau O. and Valentin F. " Étude des Lois de Paroi d'Ordre 1 et 2 pour des Domaines Rugueux par Décomposition de Domaine ", Rapport de Recherche INRIA, No. 3326, 1997.



Mohammadi B., LeTallec P. and Valentin F. " Simulation des Écoulements Compressibles Turbulents sur Parois Rugueuses ", Rapport de Recherche INRIA, No. 3108, 1997.



Mohammadi B., Pironneau O. and Valentin F. " Rough Interfaces and Wall Laws ", Report of Paris 6, No. R95025, 1995.







THESES

Valentin, F. "Nouvelles Conditions aux Limites Équivalentes pour des Interfaces Rugueuses en Mécanique des Fluides", Ph.D. thesis (in French), Université Pierre et Marie Curie - Paris 6, Paris, France, 1998.



Valentin, F. "Método Estabilizado Combinado Aplicado à Resolução de um Modelo de Turbulência", Master thesis (in Portuguese), Universidade Federal do Rio de Janeiro - UFRJ, Rio de Janeiro, Brazil, 1994