September 16, 2026 Dataset Open Access

Philip Lederer

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{"DOI":"10.25592/uhhfdm.21546","abstract":"<p>This repository contains the NGSolve/Netgen finite element code and raw convergence data used to produce the numerical examples (Section 8) of &quot;Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures&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&eacute;d&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&#39;s numerics section are directly computed. See README.md for software requirements, instructions to reproduce the data, and a file-to-table mapping.</p>","author":[{"family":"Philip Lederer"}],"id":"21546","issued":{"date-parts":[[2026,9,16]]},"title":"Reproducibility package: Pressure-robustness by commuting interpolation operators for Stokes discretizations with continuous pressures","type":"dataset"}