کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6892181 | 1445350 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method](/preview/png/6892181.png)
چکیده انگلیسی
A conservative two-grid mixed finite element scheme is presented for two-dimensional nonlinear Schrödinger equation. One Newton iteration is applied on the fine grid to linearize the fully discrete problem using the coarse-grid solution as the initial guess. Moreover, error estimates are conducted for the two-grid method. It is shown that the coarse space can be extremely coarse, with no loss in the order of accuracy, and still achieve the asymptotically optimal approximation as long as the mesh sizes satisfy H=O(h12) in the two-grid method. The numerical results show that this method is very effective.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 3, 1 February 2018, Pages 900-917
Journal: Computers & Mathematics with Applications - Volume 75, Issue 3, 1 February 2018, Pages 900-917
نویسندگان
Hanzhang Hu,