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

Stefan Frei; Thomas Richter; Thomas Wick


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{
  "inLanguage": {
    "alternateName": "eng", 
    "@type": "Language", 
    "name": "English"
  }, 
  "description": "<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>", 
  "license": "https://opensource.org/licenses/LGPL-2.1", 
  "creator": [
    {
      "affiliation": "University College London", 
      "@id": "https://orcid.org/0000-0002-4507-4690", 
      "@type": "Person", 
      "name": "Stefan Frei"
    }, 
    {
      "affiliation": "Universit\u00e4t Magdeburg", 
      "@id": "https://orcid.org/0000-0003-0206-3606", 
      "@type": "Person", 
      "name": "Thomas Richter"
    }, 
    {
      "affiliation": "Leibniz Universit\u00e4t Hannover", 
      "@id": "https://orcid.org/0000-0002-1102-6332", 
      "@type": "Person", 
      "name": "Thomas Wick"
    }
  ], 
  "url": "https://zenodo.org/record/1457758", 
  "datePublished": "2018-10-11", 
  "keywords": [
    "locally modified finite elements", 
    "interface problems", 
    "C++", 
    "deal.II", 
    "implementation"
  ], 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.1457758", 
  "@id": "https://doi.org/10.5281/zenodo.1457758", 
  "@type": "SoftwareSourceCode", 
  "name": "An implementation of a locally modified finite element method for interface problems in deal.II"
}
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