کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639622 | 1341242 | 2012 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations](/preview/png/4639622.png)
چکیده انگلیسی
We report a new parallel iterative algorithm for semi-linear parabolic partial differential equations (PDEs) by combining a kind of waveform relaxation (WR) techniques into the classical parareal algorithm. The parallelism can be simultaneously exploited by WR and parareal in different directions. We provide sharp error estimations for the new algorithm on bounded time domain and on unbounded time domain, respectively. The iterations of the parareal and the WR are balanced to optimize the performance of the algorithm. Furthermore, the speedup and the parallel efficiency of the new approach are analyzed. Numerical experiments are carried out to verify the effectiveness of the theoretic work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 17, November 2012, Pages 4245–4263
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 17, November 2012, Pages 4245–4263
نویسندگان
Jun Liu, Yao-Lin Jiang,