Departamento

Matemáticas y física aplicadas.

Cursos que dicta

Pregrado

Cálculo III IN1009C Sección 3 y Cálculo Numérico IN1052C.

Producción Científica

Proyectos

Noviembre 2013 – Octubre 2016 “New adaptive and stabized finite element method for the Navier- Stokes equations”, Fondecyt 11130674.

Publicaciones

Rodolfo ARAYA, Abner 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, 1, pp. 267-295, (2016).

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: An adaptive residual local projection finite element method for the Navier-Stokes equations. Advances in Computational Mathematics, vol. 40, 5-6, pp. 1093-1119, (2014).

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Abner POZA, Frederic VALENTIN: Convergence analysis of a residual local projection finite element method for the Navier-Stokes equations. SIAM Journal on Numerical Analysis, vol 50, 2, pp. 669-699, (2012).

Rodolfo ARAYA, Abner POZA, Frederic VALENTIN: On a hierarchical error estimator combined with a stabilized method for the NavierStokes equations. Numerical Methods for Partial Differential Equations, vol. 28, 3, pp. 782-806, (2012).

Rodolfo ARAYA, Gabriel R. BARRENECHEA, Abner POZA: An adaptive stabilized finite element method for the generalized Stokes problem. Journal of Computational and Applied Mathematics, vol. 214, 2, pp. 457-479, (2008).

Rodolfo ARAYA, Abner POZA, Ernst P. STEPHAN: A hierarchical a posteriori error estimate for an advection-diffusion-reaction problem. Mathematical Models and Methods in Applied Sciences (M3AS), vol. 15, 7, pp. 1119-1139, (2005).

Líneas de investigación

Análisis Numérico de Ecuaciones Diferenciales Parciales.