کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6892331 1445354 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A P4 bubble enriched P3 divergence-free finite element on triangular grids
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A P4 bubble enriched P3 divergence-free finite element on triangular grids
چکیده انگلیسی
On triangular grids, the continuous Pk plus discontinuous Pk−1 mixed finite element is stable for polynomial degree k≥4. When k=3, the inf-sup condition fails and the mixed finite element converges at an order that is two orders lower than the optimal order. We enrich the continuous P3 by adding some P4 divergence-free bubble functions, to be exact, one P4 divergence-free bubble function each component each edge. We show that such an enriched P3-P2 mixed element is inf-sup stable, and converges at the optimal order. Numerical tests are presented, comparing the new element with the P4-P3 element and the unstable P3-P2 element.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 74, Issue 11, 1 December 2017, Pages 2710-2722
نویسندگان
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