[Trilinos-Users] ML, Maxwell's eq., higher order

Jonathan Hu jhu at sandia.gov
Fri May 11 12:40:50 MDT 2007

Dear Delia,

     The preconditioner in ML for Maxwell's equations is intended for 
1st order edge element discretizations.   It can (and has) been used in 
the context of a block preconditioner for higher order 
discretizations.   In particular, Peter Arbenz and his collaborators 
have used ML to precondition the portion of the linear system 
corresponding to the first order elements, and a lighter weight 
preconditioner for the higher order part.   Some of the details are in 
this report:  http://www.inf.ethz.ch/~arbenz/para04.pdf.  Please let me 
know if this of help to you.


Delia Teleaga wrote:
> Hello everyone,
> could anyone of you  give me some details on how to use ML to solve the
> linear system which comes out after discretizing the eddy current
> formulation of Maxwell's equations with higher-order edge elements ?
> I've read in the ML Guide that this is possible, but it is not clear to
> me how to do it.
> Thank you in advance!
> Best regards,
> Delia Teleaga
> **********************************************************
>  Dr. Delia Teleaga
>  Numerical Analysis and Scientific Computing
>  Department of Mathematics
>  Darmstadt University of Technology
>  Schlossgartenstrasse 7, 64289 Darmstadt, Germany
>  phone          ++49+6151+16+2085
>  e-mail:        dteleaga at mathematik.tu-darmstadt.de
> **********************************************************
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> Trilinos-Users at software.sandia.gov
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Jonathan J. Hu, mailto:jhu at sandia.gov
Postal address: Sandia National Laboratories
                Mailstop 9159
                PO Box 969, Livermore, CA 94551-0969
Tel / Fax (925) 294-2931 

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