for the non-overlapping version probably this one will be more apt: 
https://hal.archives-ouvertes.fr/hal-01244511/document

On Saturday, June 8, 2019 at 7:03:59 PM UTC+2, Tom Mathew wrote:
>
> Dear all,
> Thanks again for the reply. I was planing to follow actually this work 
> https://arxiv.org/abs/1711.03789, where there is overlap. Though there 
> exists non-overlapping versions too 
> http://www.montefiore.ulg.ac.be/~geuzaine/preprints/ddm_double_sweep_preprint.pdf
> I am a PhD student working in a thermal-fluids lab trying to model 
> electromagnetic scattering for radiative transport via indefinite Maxwell's 
> equations. My triangulations mostly comes from tomographied (micro-scale 
> imaging techniques) STL files from industrial applications.
> I am more interested in the finite element-linear algebra world, so this 
> attempt is just for me to introduce myself as my helloworld to the linear 
> algebra scientific computing community. I want to explore a little bit the 
> underlying thing abstracting iterative Krylov methods, and I have at hand 
> an indefinite Maxwell's problem, for which every state of the art linear 
> algebra packages seems near obsolete.
> Acknowledging that, everything is going fine for my thesis with FreeFEM++, 
> and thanks to its ffddm framework, which seems quite efficient for my 
> scattering problems. I have tried the hypre AMS quite briefly, regretting 
> my poor mathematical background (I didn't knew it was only meant for 
> definite Maxwell's problems. Only came to know after implementing it with 
> MFEM. It was quite good on my workstation, but couldn't scale at the 
> cluster).
> So seeing for myself after the state of the art packages couldn't help me, 
> I was flattered to give it a try, may be in my free time, as something 
> which I aspire. 
>
> Regarding your message, I guess I need sometime implementing my parallel 
> solver in dealii. I need sometime also to undrestand how dealii functions. 
> After I'll try to understand the linear algebra classes and try to inherit 
> may be. 
> I think the right direction for me is to try overlapping DDM, as 
> https://arxiv.org/abs/1711.03789, discusses the influence of "generous 
> overlap" (I couldn't read it completely though, it's highly mathematical). 
> Thanks very much for  your reply, I will get in touch if I am stuck at 
> some point.
> Best regards,
> Tom
>

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