کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628112 1631822 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes
ترجمه فارسی عنوان
برآورد خطای پسخوری براساس بازسازی شار محافظه کارانه برای تقریبهای غیرقابل انعطاف عناصر محدود به یک مسئله پخش واکنش مضاعف بر روی مشهای ناهمسانگرد
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
Based on conservative flux reconstruction, we derive a posteriori error estimates for the nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes, since the solution exhibits boundary or interior layers and this anisotropy is reflected in a discretization by using anisotropic meshes. Without the assumption that the meshes are shape-regular, our estimates give the upper bounds on the error only containing the alignment measure factor, and therefore, could provide actual numerical bounds if the alignment measure was approximated very well. Two resulting error estimators are presented to be equivalent to each other up to a data oscillation, one of which can be directly constructed without solving local Neumann problems and provide computable error bound. Numerical experiments confirm that our estimates are reliable and efficient as long as the singularly perturbed problem is discretized by a suitable mesh which leads to a small alignment measure.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 232, 1 April 2014, Pages 1062-1075
نویسندگان
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