کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10346048 | 698702 | 2015 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global L2 norm
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A new asymptotically exact a posteriori error estimator is developed for first-order div least-squares (LS) finite element methods. Let (uh,Ïh) be LS approximate solution for (u,Ï=âAâu). Then, E=âAâ1/2(Ïh+Aâuh)â0 is asymptotically exact a posteriori error estimator for âA1/2â(uâuh)â0 or âAâ1/2(ÏâÏh)â0 depending on the order of approximate spaces for Ï and u. For E to be asymptotically exact for âA1/2â(uâuh)â0, we require higher order approximation property for Ï, and vice versa. When both Aâu and Ï are approximated in the same order of accuracy, the estimator becomes an equivalent error estimator for both errors. The underlying mesh is only required to be shape regular, i.e., it does not require quasi-uniform mesh nor any special structure for the underlying meshes. Confirming numerical results are provided and the performance of the estimator is explored for other choice of spaces for (uh,Ïh).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 70, Issue 4, August 2015, Pages 648-659
Journal: Computers & Mathematics with Applications - Volume 70, Issue 4, August 2015, Pages 648-659
نویسندگان
Zhiqiang Cai, Varis Carey, JaEun Ku, Eun-Jae Park,