کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422882 1632035 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A posteriori error estimate for the H(div) conforming mixed finite element for the coupled Darcy-Stokes system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A posteriori error estimate for the H(div) conforming mixed finite element for the coupled Darcy-Stokes system
چکیده انگلیسی

An H(div) conforming mixed finite element method has been proposed for the coupled Darcy-Stokes flow in Kanschat and Rivière (2010) [12], which imposes normal continuity on the velocity field strongly across the Darcy-Stokes interface. Here, we develop an a posteriori error estimator for this H(div) conforming mixed method, and prove its global reliability and efficiency. Due to the strong coupling on the interface, special techniques need to be employed in the proof. This is the main difference between this paper and Babuška and Gatica's (2010) work [38], in which they analyzed an a posteriori error estimator for the mixed formulation using weakly coupled interface conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 255, 1 January 2014, Pages 502-516
نویسندگان
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