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Dear Theresa,<br>
<br>
The standard explicit RK4 method is implemented in the class <span
class="keyword"></span><a class="code"
href="https://www.dune-project.org/doxygen/pdelab/master/classDune_1_1PDELab_1_1RK4Parameter.html">RK4Parameter</a>
<br>
in PDELab (it merely contains<br>
the entries of the Butcher Tableau, so you could easily add other
methods as well).<br>
Sorry for answering this here, as it is actually the dune list and
not a pdelab list.<br>
<br>
Periodic boundary conditions on YaspGrid need to be implemented "in
a parallel setting",<br>
i.e. halo cells are added in the periodic directions and a
communication steps transports<br>
the solution from boundary to boundary. But I did not try this for a
long time ...<br>
<br>
Which disretization scheme did you intend to use?<br>
<br>
Best regards,<br>
<br>
Peter<br>
<br>
<div class="moz-cite-prefix">Am 04.12.20 um 16:11 schrieb Theresa
Pollinger:<br>
</div>
<blockquote type="cite"
cite="mid:8c1b827d-aa33-65da-e8df-2ec5ff594851@ipvs.uni-stuttgart.de">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<p>Dear DUNE developers,</p>
<p>as you may know, we are using DUNE to run FEM with the sparse
grid combination technique, via coupling to our code DisCoTec
[0].</p>
<p>Now for another project, we were simulating a pure advection
problem with another FEM code, which returned rather unexpected
results. Now I wanted to turn the exact same advection problem
into a DUNE problem to validate the results, but it turns out
that this is quite hard. Two things I am struggling with:</p>
<p>- how do you set periodic boundary conditions in all
directions? So far I only found this old answer [1], and a test
using YaspGrid looks very much like periodicity is only set in
one dimension, even if I supply an all-true argument `periodic`.</p>
<p>- What is the proper way to use a Runge-Kutta 4th-order scheme
in DUNE? AFAICT, pdelab only implements up to order 3 RK methods
[2]?<br>
</p>
<p>Maybe you could let me know if there are people who have
already implemented those things.</p>
<p>Best,</p>
<p>Theresa<br>
</p>
<p><br>
</p>
<p>[0] <a class="moz-txt-link-freetext"
href="https://github.com/SGpp/DisCoTec" moz-do-not-send="true">https://github.com/SGpp/DisCoTec</a></p>
<p>[1] <a class="theme markdown__link"
href="https://lists.dune-project.org/pipermail/dune-pdelab/2011-October/000212.html"
rel="noreferrer" target="_blank" moz-do-not-send="true">https://lists.dune-project.org/pipermail/dune-pdelab/2011-October/000212.html</a></p>
<p>[2]
<a class="moz-txt-link-freetext"
href="https://github.com/dune-project/dune-pdelab/blob/master/dune/pdelab/instationary/onestepparameter.hh"
moz-do-not-send="true">https://github.com/dune-project/dune-pdelab/blob/master/dune/pdelab/instationary/onestepparameter.hh</a><br>
</p>
<pre class="moz-signature" cols="72">--
Theresa Pollinger
Universität Stuttgart
Institut für Parallele und Verteilte Systeme
Simulation Software Engineering
Universitätsstr. 38
70569 Stuttgart
Phone: +49 711 685 60921</pre>
<br>
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