September 16, 2026 Dataset Open Access

Philip Lederer

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  <dc:creator>Philip Lederer</dc:creator>
  <dc:date>2026-09-16</dc:date>
  <dc:description>This repository contains the NGSolve/Netgen finite element code and raw convergence data used to produce the numerical examples (Section 8) of "Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures" 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 Nédélec interpolant). It also includes the raw error/convergence data (`conv_data/`) generated by these scripts, from which all convergence tables in the paper's numerics section are directly computed. See README.md for software requirements, instructions to reproduce the data, and a file-to-table mapping.</dc:description>
  <dc:identifier>https://www.fdr.uni-hamburg.de/record/21546</dc:identifier>
  <dc:identifier>10.25592/uhhfdm.21546</dc:identifier>
  <dc:identifier>oai:fdr.uni-hamburg.de:21546</dc:identifier>
  <dc:relation>doi:10.25592/uhhfdm.21545</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:title>Reproducibility package: Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures</dc:title>
  <dc:type>info:eu-repo/semantics/other</dc:type>
  <dc:type>dataset</dc:type>
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