کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636714 | 1340727 | 2006 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition](/preview/png/4636714.png)
چکیده انگلیسی
In this article, stabilized finite element methods are considered for the non-stationary Stokes equations, based on some lowest equal-order finite elements space pair (Xh, Mh) which do not satisfy the discrete inf-sup condition. The stability of two kinds of methods is derived under some regularity assumptions. Then, the convergence of the penalty method and the pressure-Poisson stabilized method is compared. The result shows that the former error limits the order of approximation to O(ϵ+h/ϵ), and the latter yields the optimal error estimate O(h).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 182, Issue 1, 1 November 2006, Pages 24-35
Journal: Applied Mathematics and Computation - Volume 182, Issue 1, 1 November 2006, Pages 24-35
نویسندگان
Jian Li, Liquan Mei, Yinnian He,