One more question to the renumbering schemes: I called
DoFRenumbering::Cuthill_McKee(dof_handler) before calling the initialize
function of the direct solver.

So this isn“t really necessary when using UMFPACK because internally a
different renumbering scheme is called anyway?

-Simon

Am Mi., 2. Juni 2021 um 17:16 Uhr schrieb Simon Wiesheier <
[email protected]>:

> Thanks for all your answers!
> It was my lack of mathematical background regarding solving linear systems
> which brought me to that question.
>
> -Simon
>
> Am Mi., 2. Juni 2021 um 17:09 Uhr schrieb Wolfgang Bangerth <
> [email protected]>:
>
>> On 6/2/21 8:59 AM, Abbas wrote:
>> >
>> > 2) Node numbering plays a role. I am not sure to what extent and I am
>> not sure
>> > if it is something that is done automatically by direct solvers. Step-2
>> with
>> > it's Cuthill_McKee
>> > <
>> https://nam10.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.dealii.org%2Fcurrent%2Fdoxygen%2Fdeal.II%2FnamespaceDoFRenumbering.html%23ab938a690bf4e2adff191fe969b0f21d3&data=04%7C01%7CWolfgang.Bangerth%40colostate.edu%7Ca666a43196f746c74d5008d925d6fd84%7Cafb58802ff7a4bb1ab21367ff2ecfc8b%7C0%7C0%7C637582429206627171%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000&sdata=FM0KPcJ7TmnahoGrINbqZBr1hL77L8tcSf9ri4DKsHI%3D&reserved=0>
>>  is
>>
>> > something you might want to have a look at .
>>
>> Yes, all direct solvers I know of renumber automatically. In the case of
>> UMFPACK, it uses the minimum-degree renumbering internally -- i.e., there
>> is
>> no need to do that on the user side.
>>
>> Best
>>   W.
>>
>> --
>> ------------------------------------------------------------------------
>> Wolfgang Bangerth          email:                 [email protected]
>>                             www: http://www.math.colostate.edu/~bangerth/
>>
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>>
>

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