Publicaciones

 

  • Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier. "An augmented stress-based mixed finite element method for the Navier-Stokes equations with nonlinear viscosity". Numerical Methods for Partial Differential Equations, vol. 33, 5, pp. 1692-1725, (2017).
  • 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).
  • Tomás P. Barrios, Rommel Bustinza, Felipe Sánchez. "Analysis of DG aproximations for the Stokes problem based on velocity-pseudostress formulation". Numerical Methods for Partial Differential Equations", vol. 33, 5, pp. 1540-1564, (2017).
  • A. Ferragut, J. García-Saldaña, A. Gasull. "Detection of special curves via the double resultant". Qualitative Theory of Dynamical Systems, vol. 16, 101-117,  (2017).
  • José Aguayo, Miguel Nova, Khodr Shamseddine. "Positive operators on a free Banach space over the complex Levi-Cevita field". p-Adic Numbers, Ultrametric Analysis and Applications, vol 9, 2, pp. 122-137, (2017).
  • P.K. Concha, Octavio Fierro, E.K. Rodríguez. "Inönü-Winger contraction and D=2+1 supergravity". Eur. Phys. C77 no. 1, 48, (2017).
  • M. Chernicoff, Octavio Fierro, G. Giribet, J. Oliva. "Black holes in quasi-topological gravity and conformal couplings". JHEP 1702, 010, (2017).
  • Jessika Camaño, Ricardo Oyarzúa, Giordano Tierra. "Analysis of an augmented mixed-FEM for the Navier-Stokes problem". Mathematics of Computation, vol. 86, pp. 589-615, (2017).
  • Tomás P. Barrios, José M. Cascón, María González. "Augmented mixed finite element method for the Oseen problem: A priori and a posteriori error analysis". Computer Methods in Applied Mechanics and Engineering, vol. 313, pp. 216-238, (2017).

 

 

 PUBLICACIONES EN REVISTAS ISI

  • Artebani, M., Caroca, R., Ipinza, M., Peñafiel, D., Salgado, P. "Geometrical aspects of the Lie algebra S-expansion procedure". J. Math. Phys. 57, 2, 023516, 35 pp., (2016).

 

  • Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Giordano Tierra. "An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity". SIAM Journal on Numerical Analysis, vol. 54, pp.1069-1092, (2016).

 

  • Ana Alonso-Rodriguez, Jessika Camaño, Rodolfo Rodriguez, Alberto Valli. "Assessment of two approximation methods for the inverse problem of electroencephalography". International Journal of Numerical Analysis and Modeling, vol. 13, 4, pp. 587-609, (2016).

 

  • Gabriel N. Gatica, Luis F. GaticaFilánder A. Sequeira. "A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity". Computers and Mathematics with Applications, vol. 71, 2, pp. 585-614, (2016).

 

  • 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).

 

  • Tomás P. Barrios, Rommel Bustinza, Víctor Dominguez. "Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frecuency regime". Journal of Computational and Applied Mathematics,  vol. 300, pp. 312–340, (2016).

 

  • Tomás P. Barrios, Edwin Behrens, Rommel Bustinza. "A note on a priori error estimates for augmented mixed methods". Applied Mathematics Letters, vol. 57, pp. 139-144, (2016).

 

 

OTRAS PUBLICACIONES

  • Tomás Barrios, José Manuel Cascón, María González.  "A posteriori error estimation of a stabilized mixed finite element method for Darcy flow". In Book: Boundary and Interior Layers - Computational & Asymptotic Methods,   BAIL 2014 (Edited by Petr Knobloch). Springer series Lecture Notes in Computational Science and Engineering, Vol 108, pp 13 - 23.

 

 

PUBLICACIONES EN REVISTAS ISI

  • R. 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).

 

  • Rubén López, C. Gutiérrez, V. Novo . "Existence and boundedness of solutions in infinite dimensional vector optimization problems". Journal of Optimization Theory and Applications, vol. 162, pp. 515-547, (2014).

 

  • Ana Alonso-Rodriguez, Jessika Camaño, Rodolfo Rodriguez, Alberto Valli. "A posteriori error estimates for the problem electrostatic with a dipole source". Computers and Mathematics with Applications, vol. 68, 4, pp. 464-485, (2014).

 

  • Tomás P. Barrios, Edwin Behrens, María González. "Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity". Applied Numerical Mathematics, vol. 84, pp. 46-65, (2014).

 

  • Luis F. Gatica, G.N. Gatica, A. Márquez. “Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow”. Numerische Mathematik, vol. 126, 4, pp. 635-677, (2014).

 

  • Carrasco-Olivera, D., Uribe M., Vidal C. "Periodic orbits associated to Hamiltonian functions of degree four". J. Nonlinear Math. Phys., 21, 3, pp. 336-356, (2014).

 

  • M. Pelletier, Marco Uribe. Principal Poincaré Pontryagin function associated to some families of Morse real polynomials". Nonlinearity, vol. 27, pp 257-269, (2014).

 

 

 OTRAS PUBLICACIONES

  • Tomás Barrios, José Manuel Cascón, María González. " Adaptive solutions of a stabilized mixed finite element method for porous media equations". Mecánica Computacional, Vol XXXIII, Nº 30, G. Bertolino, M. Cantero, M. Storti and F. Teruel (Editors),   pp. 1909 - 1917,  AMCA, Argentina. ISSN 1666-6070.

 

 

PUBLICACIONES EN REVISTAS ISI

  • Gabriel Barrenechea, Tomás Barrios, Andreas Wachtel. "Stabilized finite element methods for a bending moment formulation of the Reissner-Mindlin plate model". Calcolo, vol. 52, pp. 343-369, (2015).

 

  • Jessika Camaño, Gabriel N. Gatica, Ricardo Oyarzúa, Ricardo Ruiz-Baier, Pablo Venegas. " New fully-mixed finite element methods for the Stokes-Darcy coupling". Computer Methods in Applied Mechanics and Engineering, vol. 295, pp. 362-395, (2015).

 

  • Giovanni A. Salini, Patricio Pérez. "A study of the dynamic behaviour of fine particulate en Santiago, Chile". Aerosol and Air Quality Research, 15, pp. 154-165, (2015).

 

  • J. Aguayo,  Miguel Nova,  K. Shamseddine. " Inner product on B*-algebras of operators on a free Banach space over the Levi-Civita field ". Indagationes Mathematicae, vol. 26, pp. 191-205, (2015). 

     

  • Gabriel N. Gatica, Luis F. GaticaFilánder A. Sequeira. "A RT_k - P_k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress".  Applied Mathematics Letters, vol 49, pp. 133-140, (2015).

 

  • Zhixing Fu, Luis F. Gatica,  Francisco-Javier Sayas. “Algorithm 949: MATLAB Tools for HDG in Three Dimensions”.  ACM Transactions on Mathematical Software, vol 41, 3, Article 20, (2015).

 

  • Gabriel N. Gatica, Luis F. GaticaFilánder A. Sequeira. "Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow". Computer Methods in Applied Mechanics and Engineering, vol. 289, pp. 104-130, (2015).

 

  • Tomás Barrios, José Manuel Cascón, María Gonzaléz. "A posteriori error analysis of a stabilized mixed finite element method for Darcy flow". Computer Methods in Applied Mechanics and Engineering, vol. 283, pp. 909-922, (2015).

 

OTRAS PUBLICACIONES

  • Tomás Barrios, Edwin Behrens, María González. " New a posteriori error estimator for an augmented mixed FEM in linear elasticity".  Numerical Mathematics and Advanced Applications - ENUMATH 2013, ( Edited by A. Addulle, S. Deparis, D. Kressner, F. Nobile, M. Picasso), Lecture Notes in Computational Science and Engineering, Vol 103, pp. 263-271,  Springer  International Publishing Switzerland, 2015.

 

  • Tomás Barrios, Rommel Bustinza, Galina C. García, María González. " An a posteriori error estimator  for  a new stabilized formulation of the Brinkman problem". Numerical Mathematics and Advanced Applications - ENUMATH 2013, ( Edited by A. Addulle, S. Deparis, D. Kressner, F. Nobile, M. Picasso), Lecture Notes in Computational Science and Engineering, Vol 103, pp. 253-261,  Springer International Publishing Switzerland, 2015.

 

  • García G., Fernández-Cara E. y Osses A., Control insensitizing the observation of a quasi-geostrophic ocean model”. SIAM Journal of Control and Optimization, vol. 43, 5, pp. 1616-1639, (2005).

 

  • Gatica L.F., Barrios T. y Gatica G., On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers”. Applied Numerical Mathematics, vol. 48, 2, pp. 135-155, (2004).

 

  •  Alvarado, H. Significado y comprensión de un teorema estadístico: elementos básicos en el desarrollo profesional del profesor para una buena enseñanza”. Boletín de Investigación Educacional, 19, Nº1, 227-244.  (2004)

 

  • Gatica L.F., Gatica G.N, Stephan E., A FEM-DTN formulation for a nonlinear exterior problem in incompressible elasticity”. Mathematical Methods in Applied Sciences, vol. 26, 2, pp. 151-170, (2003).

 

  • Alvarado, H., Sánchez, I., Retamal, L. y Ramos, J. Una propuesta metodológica hacia el aprendizaje activo en las matemáticas”. Boletín de Investigación Educacional, 18, 111-126.  (2003).

 

  • Aguayo-Garrido J., Nova-Yañez M., Non-archimedean integral operators on the space of continuous functions”, Contemporary Mathematics: Ultrametric functional analysis AMS, 319, 1-15. (2002).

 

  • Parra, E., Alvarado, H., Morales, J., Constenla, J. y Díaz, C. Percepción del estudiante y del docente de la UCSC respecto del desempeño académico en el aula”. Boletín de Investigación Educacional, 16, 246-264.  (2001).

 

  • Alvarado H., Sánchez I., Uribe M. Correspondencia entre estrategias de aprendizaje y rendimiento académico en estudiantes universitarios”. Boletín de Investigación Educacional, 15, 70-88. (2000).

 

  • Aguayo-Garrido J., Nova-Yañez. M. Weakly compact operators and u-additive measures”, Annales Mathématiques Blaise Pascal 7, no. 2,, 1-11. (2000).

 

  • Uribe M. The period function in a class of quadratic Kolmogoroff systems”, Proyecciones, 19, no. 2, 197-205.  (2000).

 

 

Destacamos

 

Magíster en Matemática Aplicada

 

 ¡Ingreso 2018!

 

Postula en

http://fichapostulacion.ucsc.cl

 

 

 

 

Universidad Acreditada desde Noviembre
de 2016 a Noviembre de 2020

 

Avenida Alonso de Ribera 2850
Concepción - Chile
Teléfono: +56 - 41 - 2345690

 


CC 2017 UCSC
Algunos derechos reservados.