Software Open Access

An implementation of a locally modified finite element method for interface problems in deal.II

Stefan Frei; Thomas Richter; Thomas Wick


Citation Style Language JSON Export

{
  "publisher": "Zenodo", 
  "DOI": "10.5281/zenodo.1457758", 
  "language": "eng", 
  "title": "An implementation of a locally modified finite element method for interface problems in deal.II", 
  "issued": {
    "date-parts": [
      [
        2018, 
        10, 
        11
      ]
    ]
  }, 
  "abstract": "<p>This source code contains an implementation of the locally modified finite element method first proposed&nbsp; by S. Frei, T. Richter, SIAM Journal on Numerical Analysis 52 (5), 2315-2334. This method is a simple approach to solve interface problems, as arising in fluid-structure-interactions or multi-phase flows, or problems on complex boundaries.</p>\n\n<p>The implementation is contained in the files locmodfe.cc/h, together with a user program (step-modfe.cc) that is similar to many deal.II steps (<a href=\"http://www.dealii.org\">www.dealii.org</a>) and a problem-specific file (problem.h) with specific data for some numerical tests provided in the src folder. The source code is based on the deal.II.8.5.0 version.<br>\n&nbsp;</p>\n\n<p>In the test folder, we provide the parameter files parameters_test_case_1/2.prm, where algorithmic, numerical and physical parameters can be changed. In the current version, parameters are pre-set for the two numerical tests. For the meaning of the parameters, see the detailed comments in the parameter files.<br>\n&nbsp;<br>\nMoreover, we provide the output that the program writes to a terminal in the files test_case_1/2.dlog in the same folder, for a comparison of the terminal output results.</p>\n\n<p>In the build folder, the file CMakeLists.txt can be used to create a Makefile using cmake, see the explanations given in README.txt. Moreover, the README.txt file provides detailed installation instructions and a compact overview of all source files.</p>\n\n<p>Algorithmic descriptions and details of the delivered source code are provided in S. Frei, T. Richter, T. Wick; 2018, arXiv preprint <a href=\"https://arxiv.org/abs/1806.00999\">arXiv:1806.00999</a></p>\n\n<p>&nbsp;</p>", 
  "author": [
    {
      "family": "Stefan Frei"
    }, 
    {
      "family": "Thomas Richter"
    }, 
    {
      "family": "Thomas Wick"
    }
  ], 
  "type": "article", 
  "id": "1457758"
}
366
79
views
downloads
All versions This version
Views 366367
Downloads 7979
Data volume 5.0 MB5.0 MB
Unique views 322323
Unique downloads 7575

Share

Cite as