Results

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This work  extends the  Multiscale Hybrid-Mixed finite  element method
(MHM for short)  for the two- and  three-dimensional Maxwell equations
in time-domain with  heterogeneous media.  The MHM  method arises from
the decomposition of  the exact electric and magnetic  fields in terms
of the solutions of locally independent Maxwell problems tied together
through an  one-field formulation  on top of  a coarse  mesh skeleton.
The multiscale  basis functions, which are  responsible for upscaling,
are driven by local Maxwell  problems with tangential component of the
magnetic field  prescribed on the  faces.  A high  order Discontinuous
Galerkin  method  in  space  combined with  a  second  order  explicit
Leap-Frog scheme in  time discretizes the local  problems.  This makes
the MHM  method effective  and yields a  staggered algorithm  within a
divide and conquer framework.

A MHM formulation has also been proposed and studied for the
system of time-domain elastodynamic equations in mixed (velocity-stress) form.
Preliminary numerical results have been obtained in the two-dimensional case.

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For more details: %newwin% [[http://www-sop.inria.fr/nachos/slides/Wonapde_2016-DParedes.pdf | slides of Diego Paredes presentation at Wonapde 2016]]

For more details: %newwin% [http://www-sop.inria.fr/nachos/slides/Wonapde_2016-DParedes.pdf | slides of Diego Paredes presentation at Wonapde 2016]

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MHM for teh system of time-domain Maxwell equations

(:title Results:)