My research is mostly concerned with the development and analysis of numerical methods (mainly finite elements of different types) for Partial Differential Equations.
I am also very active in the analysis and development of fast solvers for the algebraic systems arising from the numerical discretizations; in particular domain decomposition and multilevel methods. More recently I am interested in the approximation of high dimensional problems. The applications in which I work, are mostly related to Continuum-Mechanics and Plasma Physics.
[June 1996:] Bachelor in Mathematical Science, Universidad Autonoma de Madrid. Spain
[June 1999:] Licenciada con Grado in Mathematical Sciences, Departamento de Matematicas de la Universidad Autonoma de Madrid. Spain
[October 2003:] PhD in Mathematical Science, Universidad Autonoma de Madrid. Spain
Thesis: The postprocessed mixed finite element method for the Navier-Stokes equations