کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
513540 | 866489 | 2008 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Condition number of the BEM matrix arising from the Stokes equations in 2D
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Condition number of the BEM matrix arising from the Stokes equations in 2D Condition number of the BEM matrix arising from the Stokes equations in 2D](/preview/png/513540.png)
چکیده انگلیسی
We study the condition number of the system matrices that appear in the boundary element method when solving the Stokes equations at a 2D domain. At the boundary of the domain we impose Dirichlet conditions or mixed conditions. We show that for certain critical boundary contours the underlying boundary integral equation is not uniquely solvable. As a consequence, the condition number of the system matrix of the discrete equations is infinitely large. Hence, for these critical contours the Stokes cannot be solved by the boundary element method. To overcome this problem the domain can be rescaled. Several numerical examples are provided to illustrate the solvability problems at the critical contours.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 32, Issue 9, September 2008, Pages 736–746
Journal: Engineering Analysis with Boundary Elements - Volume 32, Issue 9, September 2008, Pages 736–746
نویسندگان
W. Dijkstra, R.M.M. Mattheij,