Research   

• Research Areas

  • Discontinuous Galerkin method for elliptic problems
  • Interface problems 
  • A posteriori error estimates for elliptic and parabolic problems
  
  
  in particular:
  
  
  • Mathematical analysis of DGFEM approximations to high order elliptic partial differential equations.(Partially supported by CNPq, grant 304343/2003-0, grant 474380/2004-1).
     
  • Interface problems for elliptic equations. (Partially supported by CNPq, grant 301322/2006-6).
      
  • DGFEM for two phase flow in heterogeneous porous media with discontinuous capillary pressure. (Partially supported by CNPq, grant201748/2007-0, grant 312694/2009-1, grant 478297/2009-2, grant 475480/2010-4 ).
     
  • Goal oriented error esimates for dG finite element approximationv of elliptic problem. (Partially supported by CNPq, grant 302335/2012-9, grant477935/2013-3. Partially supported by CAPES, grant 2422/14-0).