September 16, 2026 Dataset Open Access

Philip Lederer

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  <identifier identifierType="DOI">10.25592/uhhfdm.21546</identifier>
  <creators>
    <creator>
      <creatorName>Philip Lederer</creatorName>
      <affiliation>Uni-Hamburg</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Reproducibility package: Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures</title>
  </titles>
  <publisher>Universität Hamburg</publisher>
  <publicationYear>2026</publicationYear>
  <dates>
    <date dateType="Issued">2026-09-16</date>
  </dates>
  <resourceType resourceTypeGeneral="Dataset"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://www.fdr.uni-hamburg.de/record/21546</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsPartOf">10.25592/uhhfdm.21545</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&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;</description>
  </descriptions>
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