کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645749 | 1342060 | 2010 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An error analysis for the corner singularity expansion of a compressible Stokes system on a non-convex polygon
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An error analysis for the corner singularity expansion of a compressible Stokes system on a non-convex polygon An error analysis for the corner singularity expansion of a compressible Stokes system on a non-convex polygon](/preview/png/4645749.png)
چکیده انگلیسی
It is known that the velocity vector for compressible Navier–Stokes flows with non-zero boundary conditions can be decomposed into a singular part and its regular one near each non-convex vertex of bounded polygonal domains. The singular part is a multiplication of the corner singularity (of the Laplace type) and the stress intensity factor. In this paper we consider a finite element scheme approximating the regular part and the stress intensity factor, show its unique existence of the discrete solution and derive an (nearly) optimal error estimate. Some numerical examples confirming these results are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 60, Issue 8, August 2010, Pages 843-861
Journal: Applied Numerical Mathematics - Volume 60, Issue 8, August 2010, Pages 843-861