Enlaces de Interés
- ORCID: 0000-0002-4015-6662
Cursos que Imparte
Pregrado
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Cálculo 1, 2, y 3
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Cálculo Numérico
Postgrado
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Análisis Funcional
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Cálculo Científico
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Teoría de Elementos Finitos
- Teoría de Operadores Lineales
Área de Investigación
- Análisis Numérico
Publicaciones
- Rodolfo Araya, Cristian Cárcamo, Abner H. Poza, and Eduardo Vino: An adaptive stabilized finite element method for the Stokes-Darcy coupled problem. Journal of Computational and Applied Mathematics, vol 443, Art. Num. 115753, (2024).
- Abner H. Poza, and Ramiro Rebolledo: Equal-order finite element method for the Stokes equations with variable viscosity. Applied Mathematics Letters, vol. 149, article: 108930, (2024).
- Rodolfo Araya, Cristian Cárcamo, and Abner H. Poza: “A stabilized finite element method for the Stokes–Temperature coupled problem”. Applied Numerical Mathematics, vol. 187, pp. 24-49, (2023).
- Rodolfo Araya, Cristian Cárcamo, Abner H. Poza. “An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities. Computer Methods in Applied Mechanics and Engineering”, vol. 387, Paper No. 114100 (2021).
- Rodolfo Araya, Cristian Cárcamo, Abner H. Poza, Frédéric Valentin. “An Adaptative Multiscale Hybrid-Mixed Method for the Oseen Equations. Advances in Computational Mathematics”, vol. 47, 1, pp. 15-36, (2021).
- Rodolfo Araya, Cristian Cárcamo, Abner H. Poza, Frederic Valentin. “An adaptative multiscale hybrid-mixed method for the Oseen equations“. Aceptado en Advances in Computational Mathematics, 26 de Noviembre de 2020.
- Gabriel R. Barrenechea, Abner H. Poza, H. Yorston. “A stabilised finite element method for the convection-diffusion-reaction equation in mixed form“. Computer Methods in Applied Mechanics and Engineering, vol. 339, 1, pp. 389-415, (2018).
- Rodolfo Araya, Christopher Harder, Abner H. Poza, Frederic Valentin. “Multiscale hybrid-mixed method for the Sokes and Brinkman equations-The method”. Computer Methods in Applied Mechanics and Engineering, vol. 324, pp. 29-53, (2017).
- Rodolfo Araya, Abner H. Poza, Frederic Valentin. “A low-order local projection method for the incompressible Navier-Stokes equations in two and three dimensions”. IMA Journal of Numerical Analysis, vol. 36, pp. 267–295, (2016).
- Rodolfo Araya, Abner H. Poza, F. Valentin. “An adaptative residual local projection finite element method for the Navier-Stokes equations”. Advances in Computational Mathematics, vol. 5-6, pp. 1093-1119, (2014).
- Rodolfo Araya, Gabriel R. Barrenechea, Abner H. Poza, Frederic Valentin. “Convergence analysis of a residual local projection finite element method for the Navier-Stokes equations”. SIAM J. Numer. Anal., 50(2):669-699, (2012).
- Rodolfo Araya, Abner H. Poza, Frederic Valentin. “On a hierarchical estimator driven by a stabilized method for the reactive incompressible Navier-Stokes equations”. Numer. Methods Partial Dierential Equations, 28(3):782-806, (2012).
- Rodolfo Araya, Gabriel R. Barrenechea, Abner H. Poza. “An adaptive sta-bilized nite element method for the generalized Stokes problem”. Journal of Computational and Applied Mathematics, vol. 214, 2, pp. 457-479, (2008).
- Rodolfo Araya, Abner H. Poza, Ernst P. Stephan: A hierarchical a posteriori error estimate for an advection-diusion-reaction problem. Mathematical Models and Methods in Applied Sciences (M3AS), vol. 15, 7, pp.1119-1139, (2005).