کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473063 | 698765 | 2012 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Immersed Interface Method for elliptic equations based on a piecewise second order polynomial
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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: Immersed Interface Method for elliptic equations based on a piecewise second order polynomial Immersed Interface Method for elliptic equations based on a piecewise second order polynomial](/preview/png/473063.png)
چکیده انگلیسی
In this paper, we develop finite difference methods for elliptic equations in a domain Ω∈RdΩ∈Rd, d=1,2d=1,2. Within the region ΩΩ, we suppose there is an irregular surface ΓΓ of codimension 1 (hereafter called an interface) across which the function uu or some of its derivatives are known to be discontinuous. We use uniform grid and a piecewise second order polynomial to approximate uu, then we get a second order method for these problems. At last, we give several examples to show the correctness and efficiency of the scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 63, Issue 5, March 2012, Pages 957–965
Journal: Computers & Mathematics with Applications - Volume 63, Issue 5, March 2012, Pages 957–965
نویسندگان
Jianping Zhao, Yanren Hou, Yongfei Li,