People

Blanca Ayuso de Dios

Previous Members
Research Scientist

Research Interests

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. 

Selected Publications

  • B. Ayuso de Dios, J.A. Carrillo and C.W. Shu, Discontinuous Galerkin Methods for the Multidimensional Vlasov-Poisson system, Mathematical Models and Methods in Applied Sciences (M3AS) M3AS, vol. 22, no. 12, (2012). [45 pages]
  • B. Ayuso de Dios and Ludmil Zikatanov, Uniformly Convergent Iterative Methods for Discontinuous Galerkin Discretizations, Journal of Scientific Computing, vol. 40, no.1-3, pp. 4--36, (2009).
  • B. Ayuso and L. Donatella Marini, Discontinuous Galerkin Approximation to advection-difusion-reaction problems, SIAM J. of Numer. Anal., vol. 47, no. 2, pp. 1391--1420, (2009).
  • B. Ayuso de Dios, M.Holst, Y. Zhu and L.T. Zikatanov, Multilevel Preconditioners for Discontinuous Galerkin discretizations of jump-coefficient problems, Mathematics of Computation, 10.1090/S0025-5718-2013-02760-3, (Link)
  • B. Ayuso, J.A. Carrillo and C.W. Shu, Discontinuous Galerkin Methods for the onedimensional Vlasov-Poisson system, Kinetic and Related Models, Vol 4, no 4, pp. 955--989 (2011).



Education

[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

Professional Profile

Visiting Assistant Professor

Scientific and Professional Memberships

SIAM, RSME and SEMA