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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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    "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>", 
    "language": "eng", 
    "title": "An implementation of a locally modified finite element method for interface problems in deal.II", 
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    "publication_date": "2018-10-11", 
    "creators": [
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        "affiliation": "University College London", 
        "name": "Stefan Frei"
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        "affiliation": "Universit\u00e4t Magdeburg", 
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        "affiliation": "Leibniz Universit\u00e4t Hannover", 
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