Dataset Open Access

Reproducibility package: Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures

Philip Lederer


MARC21 XML Export

<?xml version='1.0' encoding='UTF-8'?>
<record xmlns="http://www.loc.gov/MARC21/slim">
  <leader>00000nmm##2200000uu#4500</leader>
  <datafield tag="650" ind1="1" ind2="7">
    <subfield code="a">cc-by</subfield>
    <subfield code="2">opendefinition.org</subfield>
  </datafield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="a">dataset</subfield>
  </datafield>
  <controlfield tag="001">21546</controlfield>
  <datafield tag="245" ind1=" " ind2=" ">
    <subfield code="a">Reproducibility package: Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures</subfield>
  </datafield>
  <datafield tag="542" ind1=" " ind2=" ">
    <subfield code="l">open</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2=" ">
    <subfield code="s">19321</subfield>
    <subfield code="u">https://www.fdr.uni-hamburg.de/record/21546/files/reproducibility_data.zip</subfield>
    <subfield code="z">md5:f415fcc641765606302cabae737bccf1</subfield>
  </datafield>
  <datafield tag="100" ind1=" " ind2=" ">
    <subfield code="a">Philip Lederer</subfield>
    <subfield code="u">Uni-Hamburg</subfield>
  </datafield>
  <controlfield tag="005">20260928112429.0</controlfield>
  <datafield tag="909" ind1="C" ind2="O">
    <subfield code="o">oai:fdr.uni-hamburg.de:21546</subfield>
    <subfield code="p">user-uhh</subfield>
  </datafield>
  <datafield tag="024" ind1=" " ind2=" ">
    <subfield code="a">10.25592/uhhfdm.21546</subfield>
    <subfield code="2">doi</subfield>
  </datafield>
  <datafield tag="520" ind1=" " ind2=" ">
    <subfield code="a">&lt;p&gt;This repository contains the NGSolve/Netgen finite element code and raw convergence data used to produce the numerical examples (Section 8) of &amp;quot;Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures&amp;quot; by P. L. Lederer and T. Vock. It includes two Python scripts (`convergence.py`, `convergence_3d.py`) that solve the Stokes equations on the unit square (resp. unit cube) with a manufactured smooth solution, using the MINI, stabilized equal-order $P^kP^k$, and Taylor--Hood finite elements, both with the standard method and with the pressure-robust method proposed in the paper (in which the right-hand side force is replaced by its N&amp;eacute;d&amp;eacute;lec interpolant). It also includes the raw error/convergence data (`conv_data/`) generated by these scripts, from which all convergence tables in the paper&amp;#39;s numerics section are directly computed. See README.md for software requirements, instructions to reproduce the data, and a file-to-table mapping.&lt;/p&gt;</subfield>
  </datafield>
  <datafield tag="773" ind1=" " ind2=" ">
    <subfield code="a">10.25592/uhhfdm.21545</subfield>
    <subfield code="i">isVersionOf</subfield>
    <subfield code="n">doi</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
    <subfield code="u">https://creativecommons.org/licenses/by/4.0/legalcode</subfield>
    <subfield code="a">Creative Commons Attribution 4.0 International</subfield>
  </datafield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="a">user-uhh</subfield>
  </datafield>
  <datafield tag="260" ind1=" " ind2=" ">
    <subfield code="c">2026-09-16</subfield>
  </datafield>
</record>

Cite record as