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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation
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 τ (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
نویسندگان
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