کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1140089 | 956711 | 2012 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fully discrete finite element method based on pressure stabilization for the transient Stokes equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Fully discrete finite element method based on pressure stabilization for the transient Stokes equations Fully discrete finite element method based on pressure stabilization for the transient Stokes equations](/preview/png/1140089.png)
چکیده انگلیسی
In this work, a new fully discrete stabilized finite element method is studied for the two-dimensional transient Stokes equations. This method is to use the difference between a consistent mass matrix and underintegrated mass matrix as the complement for the pressure. The spatial discretization is based on the P1-P1 triangular element for the approximation of the velocity and pressure, the time discretization is based on the Euler semi-implicit scheme. Some error estimates for the numerical solutions of fully discrete stabilized finite element method are derived. Finally, we provide some numerical experiments, compared with other methods, we can see that this novel stabilized method has better stability and accuracy results for the unsteady Stokes problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 82, Issue 8, April 2012, Pages 1496-1515
Journal: Mathematics and Computers in Simulation - Volume 82, Issue 8, April 2012, Pages 1496-1515
نویسندگان
Tong Zhang, Yinnian He,