Manuel Sánchez-Uribe

PhD. Student

Division of Applied Mathematics, Brown University.


Publications.

  • Gabriel N. Gatica, Antonio Marquez, Manuel A. Sánchez: Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations. Computer Methods in Applied Mechanics and Engineering, vol. 199, 17-20, pp. 1064-1079, (2010)
  • Gabriel N. Gatica, Antonio Marquez, Manuel A. Sánchez: A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows. Computer Methods in Applied Mechanics and Engineering, vol. 200, 17-20, pp. 1619-1636, (2011).
  • Gabriel N. Gatica, Antonio Marquez, Manuel A. Sánchez: Pseudostress-based mixed finite element methods for the Stokes problem in $R^n$ with Dirichlet boundary conditions. I: A priori error analysis. Communications in Computational Physics, vol. 12, 1, pp. 109-134, (2012).
  • Johnny Guzmán and Manuel Sánchez-Uribe: Max-norm Stability of low order Taylor-Hood elements in three dimensions. Submitted (2013)
  • Johnny Guzmán, Manuel Sánchez-Uribe and Marcus Sarkis: On the accuracy of finite element approximations to a class of interface problems. Submitted (2014)
  • J. Guzmán, Manuel Sánchez-Uribe and M. Sarkis: Higher-order finite element methods for elliptic problems with interfaces. Submitted (2014) PDF

Talks and Posters.

  • Finite Element Approximation to a class of Interface problems, Robust Discretization and Fast Solvers for Computable Multi-Physics Models ICERM, Providence RI (May 12-16, 2014)
  • On the accuracy of finite element approximations to a class of interface problems, DelMar Numerics Day, University of Maryland, Baltimore county (May 10, 2014)
  • Finite Element Approximation to a class of Interface problems, Graduate student seminar, Division of Applied Mathematics, Brown University (April 2014)
  • Max-norm stability of low order Taylor-Hood elements in three dimensions, Valparaíso Numérico IV. Pontificia Universidad Católica de Valpara\'iso, Chile (December 11-13, 2013)
  • Max-norm Stabilty of low Taylor-Hood Element in three dimensions, Finite Element Circus, University of Delaware (October 18-19, 2013)
  • Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations, COMCA 2009 Numerical Analysis, Universidad Católica del Norte, Antofagasta - Chile (August 5 - 7, 2009)