کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639605 1341241 2012 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solving a suite of NIST benchmark problems for adaptive FEM with the Hermes library
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Solving a suite of NIST benchmark problems for adaptive FEM with the Hermes library
چکیده انگلیسی

Recently, a new suite of twelve benchmark problems for adaptive finite element methods (FEM) was published at the US National Institute for Standards and Technology (NIST). These benchmark problems come with exact solutions, and they exhibit all typical difficulties associated with elliptic problems including singularities, steep internal layers, anisotropy, and oscillations. In this paper we solve these benchmark problems using the open source library Hermes (http://hpfem.org). All these results are reproducible—they are part of the Git repository of the open source Hermes project, and the reader can experiment with them by himself/herself. Instructions for this are provided. We hope that authors of other adaptive FEM codes will make their results for these test problems available in a reproducible fashion as well.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 18, December 2012, Pages 4846–4861
نویسندگان
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