===affil2:
University of Zaragoza, Spain
===firstname:
Carmen
===firstname4:
Ludmil
===firstname3:
Xiaozhe
===lastname2:
Gaspar
===keyword1:
Multigrid
===lastname:
Rodrigo
===firstname5:

===affil6:

===lastname3:
Hu
===email:
carmenr@unizar.es
===keyword2:
Discretization
===keyword_other2:

===lastname6:

===affil5:

===otherauths:

===lastname4:
Zikatanov
===affil4:
The Pennsylvania State University
===lastname7:

===competition:
no
===affil7:

===firstname7:

===postal:
Departamento de Matemática Aplicada
Universidad de Zaragoza
Campus Río Ebro, Edificio Torres Quevedo
C/ María de Luna, 3
50018 Zaragoza (Spain)
===firstname6:

===ABSTRACT:
The focus of this work is to study the relation between mimetic finite difference schemes on triangular grids and some finite element methods for two model problems based on \textbf{curl}-rot and \textbf{grad}-div operators. With this purpose, modified N\'ed\'elec and Raviart-Thomas finite element methods are derived respectively. This connection allows us to  design an efficient multigrid method for the \textbf{curl}-rot problem, by considering canonical inter-grid transfer operators arising from the finite element framework. The resulting algorithm is shown to be very robust and efficient, as confirmed by an special local Fourier analysis for edge-based discretizations on triangular grids.
===affil3:
Tufts University
===keyword_other1:

===lastname5:

===affilother:

===title:
On the design of a finite element multigrid solver for mimetic finite difference schemes
===firstname2:
Francisco J.