کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775679 | 1631746 | 2017 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation](/preview/png/5775679.png)
چکیده انگلیسی
In this paper, the error analysis of a two-grid method (TGM) with backward Euler scheme is discussed for semilinear parabolic equation. Contrary to the conventional finite element analysis, the error between exact solution and finite element solution is split into two parts (temporal error and spatial error) by introducing a corresponding time-discrete system. This can lead to the spatial error independent of Ï (time step). Secondly, based on the above technique, optimal error estimates in L2 and H1-norms of TGM solution are deduced unconditionally, while previous works always require a certain time step size condition. Finally, a numerical experiment is provided to confirm the theoretical analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 310, 1 October 2017, Pages 40-47
Journal: Applied Mathematics and Computation - Volume 310, 1 October 2017, Pages 40-47
نویسندگان
Dongyang Shi, Huaijun Yang,