کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4958565 1364822 2017 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem
ترجمه فارسی عنوان
تجزیه و تحلیل خطا از روش المان محدود برای غلبه بر نقاط خاصی برای مسئله استوکس ثابت
کلمات کلیدی
یکنواختی گوشه، چند ضلعی غیر محدب، معادلات استوکس، جریان غیر فشرده،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
In this paper, we introduce a mixed finite element method to overcome corner singularities of the stationary Stokes system on a non-convex polygon. The reference Choi and Kweon (2013) says that the velocity field and the pressure function are composed of singular parts and regular remainders near a non-convex vertex, and furthermore the regular parts are sufficiently smooth on the polygon. We use the corner singularity expansion and propose new extraction formulae for coefficients of singularities. For the proposed numerical method, we first try to find finite element solutions for the regular parts and then calculate approximations of the coefficients by the derived formulae expressed by the remainders and given functions. We show error estimates of the approximations for the regular parts and coefficients, and give some numerical experiments to confirm the efficiency and reliability of the proposed method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 73, Issue 3, 1 February 2017, Pages 450-464
نویسندگان
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