Rodolfo Araya

Possui doutoradopela IMPMC/UNIVERSITÉ PARIS VI(2000). Atualmente é Associate Professor da Universidad de Concepción. Tem experiência na área de Matemática, com ênfase em Matemática Aplicada.

Informações coletadas do Lattes em 10/11/2022

Acadêmico

Formação acadêmica

Doutorado

1995 - 2000

IMPMC/UNIVERSITÉ PARIS VI
Título: Estimateur d'Erreur a Posteriori Hierarchique
Orientador: Patrick LeTallec
Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Matemática Aplicada / Especialidade: Análise Numérica.

Idiomas

Bandeira representando o idioma Inglês

Compreende Bem, Fala Razoavelmente, Lê Bem, Escreve Bem.

Bandeira representando o idioma Espanhol

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Bandeira representando o idioma Francês

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Áreas de atuação

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Matemática Aplicada.

Produções bibliográficas

  • ARAYA, RODOLFO ; Poza, Abner H. ; Valentin, Frédéric . On a hierarchical error estimator combined with a stabilized method for the Navier-Stokes equations. Numerical Methods for Partial Differential Equations (Print) , v. 28, p. 782-806, 2012.

  • ARAYA, RODOLFO ; Barrenechea, Gabriel R. ; Poza, Abner H. ; Valentin, Frédéric . Convergence Analysis of a Residual Local Projection Finite Element Method for the Navier-Stokes Equations. SIAM Journal on Numerical Analysis (Print) , v. 50, p. 669, 2012.

  • ARAYA, R. ; Barrenechea, G. R. ; Jaillet, F. ; Rodriguez, R. . Finite-element analysis of a static fluid-solid interaction problem. IMA Journal of Numerical Analysis , v. 31, p. 886-913, 2011.

  • ARAYA, R. ; Barrenechea, Gabriel R. ; Franca, Leopoldo P. ; Valentin, Frédéric . Stabilization arising from PGEM: A review and further developments. Applied Numerical Mathematics , v. 59, p. 2065-2081, 2009.

  • ARAYA, R. ; BARRENECHEA, G ; POZA, A . An adaptive stabilized finite element method for the generalized Stokes problem. Journal of Computational and Applied Mathematics , v. 214, p. 457-479, 2008.

  • ARAYA, R. ; RODRIGUEZ, R . Error estimators for advection reaction diffusion equations based on the solution of local problems. Journal of Computational and Applied Mathematics , v. 206, p. 440-453, 2007.

  • ARAYA, R. ; BEHRENS, E ; RODRIGUEZ, R . An adaptive stabilized finite element scheme for a water quality model. Computer Methods in Applied Mechanics and Engineering , v. 196, p. 2800-2812, 2007.

  • ARAYA, R. ; Barrenechea, G. R. ; Valentin, F. . A stabilized finite-element method for the Stokes problem including element and edge residuals. IMA Journal of Numerical Analysis , v. 27, p. 172-197, 2006.

  • ARAYA, R. ; Barrenechea, Gabriel R. ; Valentin, Fre?de?ric . Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem. SIAM Journal on Numerical Analysis (Print) , v. 44, p. 322, 2006.

  • ARAYA, R. ; Behrens, Edwin ; Rodríguez, Rodolfo . A posteriori error estimates for elliptic problems with Dirac delta source terms. Numerische Mathematik , v. 105, p. 193-216, 2006.

  • ARAYA, R. ; BEHRENS, E ; RODRIGUEZ, R . An adaptive stabilized finite element scheme for the advection reaction diffusion equation. Applied Numerical Mathematics , v. 54, p. 491-503, 2005.

  • ARAYA, R. ; VALENTIN, F . A multiscale a posteriori error estimate. Computer Methods in Applied Mechanics and Engineering , v. 194, p. 2077-2094, 2005.

  • ARAYA, R. . A hierarchical a posteriori error estimate for an advection-diffusion-reaction. Mathematical Models and Methods in Applied Sciences , v. 15, p. 1119, 2005.

  • Ovalle, E. ; ARAYA, R. ; Concha, F. . The role of wave propagation in hydrocyclone operations I: An axisymmetric streamfunction formulation for a conical hydrocyclone. Chemical Engineering Journal (1996) , v. 111, p. 205-211, 2005.

  • ARAYA, R. . A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem. Computer Methods in Applied Mechanics and Engineering , v. 191, p. 2317-2336, 2002.

  • ARAYA, R. ; Gatica, Gabriel N. ; Mennickent, Hubert . A boundary-field equation method for a nonlinear exterior elasticity problem in the plane. Journal of Elasticity , v. 43, p. 45-68, 1996.

  • ARAYA, R. ; Gatica, Gabriel N. . A new nonconforming Galerkin scheme for the stokes problem: Partially circumventing the discrete Babu?ska-Brezzi condition?. Computer Methods in Applied Mechanics and Engineering , v. 107, p. 193-208, 1993.

Prêmios

2007

Distinguish Professor, City of Talcahuano, Chile.

Histórico profissional

Endereço profissional

  • Universidad de Concepción, Departamento de Ingenieria Matematica. , Casilla 160-C, Concepcion, - Chile, Telefone: (56) 412204103, URL da Homepage:

Experiência profissional

1994 - Atual

Universidad de Concepcion

Vínculo: Empregado, Enquadramento Funcional: Associate Professor, Carga horária: 44, Regime: Dedicação exclusiva.