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<p>Dear Matt,</p>
<p>Thank you for the rule of 10,000 variables per process! We have
run ex.5 with matrix 1e4 x 1e4 at our cluster and got a good
performance dynamics (see the figure "performance.png" -
dependency of the solving time in seconds on the number of cores).
We have used GAMG preconditioner (multithread: we have added the
option "<span style="color: rgb(29, 28, 29); font-family:
Slack-Lato, Slack-Fractions, appleLogo, sans-serif; font-size:
15px; font-style: normal; font-variant-ligatures:
common-ligatures; font-variant-caps: normal; font-weight: 400;
letter-spacing: normal; orphans: 2; text-align: left;
text-indent: 0px; text-transform: none; white-space: normal;
widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px;
background-color: rgb(255, 255, 255); text-decoration-thickness:
initial; text-decoration-style: initial; text-decoration-color:
initial; display: inline !important; float: none;">-pc_gamg_use_parallel_coarse_grid_solver"</span>)
and GMRES solver. And we have set one openMP thread to every MPI
process. Now the ex.5 is working good on many mpi processes! But
the running uses about 100 GB of RAM.<br>
</p>
<p>How we can run ex.5 using many openMP threads without mpi? If we
just change the running command, the
cores are not loaded normally: usually just one core is loaded in
100 % and others are idle. Sometimes all cores are working in 100
%
during 1 second but then again become idle about 30 seconds. Can
the preconditioner use many threads and how to activate this
option?</p>
<p>The solving times (the time of the solver work) using 60 openMP
threads is 511 seconds now, and while using 60 MPI processes -
13.19 seconds.</p>
<p>ksp_monitor outs for both cases (many openMP threads or many MPI
processes) are attached.</p>
<p><br>
</p>
<p>Thank you!</p>
Best,<br>
Lidia<br>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">On 31.05.2022 15:21, Matthew Knepley
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:CAMYG4G=2+46y86OfYccv4UJV991gyOJndaZC_7UuZM-aanDnOA@mail.gmail.com">
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<div dir="ltr">I have looked at the local logs. First, you have
run problems of size 12 and 24. As a rule of thumb, you need
10,000
<div>variables per process in order to see good speedup.</div>
<div><br>
</div>
<div> Thanks,</div>
<div><br>
</div>
<div> Matt</div>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Tue, May 31, 2022 at 8:19
AM Matthew Knepley <<a href="mailto:knepley@gmail.com"
moz-do-not-send="true" class="moz-txt-link-freetext">knepley@gmail.com</a>>
wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px
0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div dir="ltr">
<div dir="ltr">On Tue, May 31, 2022 at 7:39 AM Lidia <<a
href="mailto:lidia.varsh@mail.ioffe.ru" target="_blank"
moz-do-not-send="true" class="moz-txt-link-freetext">lidia.varsh@mail.ioffe.ru</a>>
wrote:<br>
</div>
<div class="gmail_quote">
<blockquote class="gmail_quote" style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">
<div>
<p>Matt, Mark, thank you much for your answers!</p>
<p><br>
</p>
<p>Now we have run example # 5 on our computer cluster
and on the local server and also have not seen any
performance increase, but by unclear reason running
times on the local server are much better than on
the cluster.</p>
</div>
</blockquote>
<div>I suspect that you are trying to get speedup without
increasing the memory bandwidth:</div>
<div><br>
</div>
<div> <a
href="https://petsc.org/main/faq/#what-kind-of-parallel-computers-or-clusters-are-needed-to-use-petsc-or-why-do-i-get-little-speedup"
target="_blank" moz-do-not-send="true"
class="moz-txt-link-freetext">https://petsc.org/main/faq/#what-kind-of-parallel-computers-or-clusters-are-needed-to-use-petsc-or-why-do-i-get-little-speedup</a></div>
<div><br>
</div>
<div> Thanks,</div>
<div><br>
</div>
<div> Matt <br>
</div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">
<div>
<p>Now we will try to run petsc #5 example inside a
docker container on our server and see if the
problem is in our environment. I'll write you the
results of this test as soon as we get it.</p>
<p>The ksp_monitor outs for the 5th test at the
current local server configuration (for 2 and 4 mpi
processes) and for the cluster (for 1 and 3 mpi
processes) are attached .</p>
<p><br>
</p>
<p>And one more question. Potentially we can use 10
nodes and 96 threads at each node on our cluster.
What do you think, which combination of numbers of
mpi processes and openmp threads may be the best for
the 5th example?<br>
</p>
<p>Thank you!<br>
</p>
<p><br>
</p>
Best,<br>
Lidiia<br>
<div><br>
</div>
<div>On 31.05.2022 05:42, Mark Adams wrote:<br>
</div>
<blockquote type="cite">
<div dir="ltr">And if you see "NO" change in
performance I suspect the solver/matrix is all on
one processor.
<div>(PETSc does not use threads by default so
threads should not change anything).</div>
<div><br>
</div>
<div>As Matt said, it is best to start with a
PETSc example that does something like what you
want (parallel linear solve, see
src/ksp/ksp/tutorials for examples), and then
add your code to it.</div>
<div>That way you get the basic infrastructure in
place for you, which is pretty obscure to the
uninitiated.</div>
<div><br>
</div>
<div>Mark</div>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Mon, May 30,
2022 at 10:18 PM Matthew Knepley <<a
href="mailto:knepley@gmail.com"
target="_blank" moz-do-not-send="true"
class="moz-txt-link-freetext">knepley@gmail.com</a>>
wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin:0px
0px 0px 0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">
<div dir="ltr">
<div dir="ltr">On Mon, May 30, 2022 at 10:12
PM Lidia <<a
href="mailto:lidia.varsh@mail.ioffe.ru"
target="_blank" moz-do-not-send="true"
class="moz-txt-link-freetext">lidia.varsh@mail.ioffe.ru</a>>
wrote:<br>
</div>
<div class="gmail_quote">
<blockquote class="gmail_quote"
style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">Dear
colleagues,<br>
<br>
Is here anyone who have solved big sparse
linear matrices using PETSC?<br>
</blockquote>
<div><br>
</div>
<div>There are lots of publications with
this kind of data. Here is one recent
one: <a
href="https://arxiv.org/abs/2204.01722"
target="_blank" moz-do-not-send="true"
class="moz-txt-link-freetext">https://arxiv.org/abs/2204.01722</a></div>
<div> </div>
<blockquote class="gmail_quote"
style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex"> We
have found NO performance improvement
while using more and more mpi <br>
processes (1-2-3) and open-mp threads
(from 1 to 72 threads). Did anyone <br>
faced to this problem? Does anyone know
any possible reasons of such <br>
behaviour?<br>
</blockquote>
<div><br>
</div>
<div>Solver behavior is dependent on the
input matrix. The only general-purpose
solvers</div>
<div>are direct, but they do not scale
linearly and have high memory
requirements.</div>
<div><br>
</div>
<div>Thus, in order to make progress you
will have to be specific about your
matrices.</div>
<div> </div>
<blockquote class="gmail_quote"
style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex"> We use
AMG preconditioner and GMRES solver from
KSP package, as our <br>
matrix is large (from 100 000 to 1e+6 rows
and columns), sparse, <br>
non-symmetric and includes both positive
and negative values. But <br>
performance problems also exist while
using CG solvers with symmetric <br>
matrices.<br>
</blockquote>
<div><br>
</div>
<div>There are many PETSc examples, such as
example 5 for the Laplacian, that exhibit</div>
<div>good scaling with both AMG and GMG.</div>
<div> </div>
<blockquote class="gmail_quote"
style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex"> Could
anyone help us to set appropriate options
of the preconditioner <br>
and solver? Now we use default parameters,
maybe they are not the best, <br>
but we do not know a good combination. Or
maybe you could suggest any <br>
other pairs of preconditioner+solver for
such tasks?<br>
<br>
I can provide more information: the
matrices that we solve, c++ script <br>
to run solving using petsc and any
statistics obtained by our runs.<br>
</blockquote>
<div><br>
</div>
<div>First, please provide a description of
the linear system, and the output of</div>
<div><br>
</div>
<div> -ksp_view -ksp_monitor_true_residual
-ksp_converged_reason -log_view</div>
<div><br>
</div>
<div>for each test case.</div>
<div><br>
</div>
<div> Thanks,</div>
<div><br>
</div>
<div> Matt</div>
<div> </div>
<blockquote class="gmail_quote"
style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex"> Thank
you in advance!<br>
<br>
Best regards,<br>
Lidiia Varshavchik,<br>
Ioffe Institute, St. Petersburg, Russia<br>
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-- <br>
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<div>What most experimenters take
for granted before they begin
their experiments is infinitely
more interesting than any
results to which their
experiments lead.<br>
-- Norbert Wiener</div>
<div><br>
</div>
<div><a
href="http://www.cse.buffalo.edu/~knepley/"
target="_blank"
moz-do-not-send="true">https://www.cse.buffalo.edu/~knepley/</a><br>
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-- <br>
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<div dir="ltr">
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<div>
<div dir="ltr">
<div>What most experimenters take for granted
before they begin their experiments is
infinitely more interesting than any results
to which their experiments lead.<br>
-- Norbert Wiener</div>
<div><br>
</div>
<div><a
href="http://www.cse.buffalo.edu/~knepley/"
target="_blank" moz-do-not-send="true">https://www.cse.buffalo.edu/~knepley/</a><br>
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-- <br>
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<div dir="ltr">
<div>
<div dir="ltr">
<div>What most experimenters take for granted before
they begin their experiments is infinitely more
interesting than any results to which their
experiments lead.<br>
-- Norbert Wiener</div>
<div><br>
</div>
<div><a href="http://www.cse.buffalo.edu/~knepley/"
target="_blank" moz-do-not-send="true">https://www.cse.buffalo.edu/~knepley/</a><br>
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