کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617261 | 1339375 | 2012 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mapped WENO schemes based on a new smoothness indicator for Hamilton–Jacobi equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Mapped WENO schemes based on a new smoothness indicator for Hamilton–Jacobi equations Mapped WENO schemes based on a new smoothness indicator for Hamilton–Jacobi equations](/preview/png/4617261.png)
چکیده انگلیسی
In this paper, we introduce an improved version of mapped weighted essentially non-oscillatory (WENO) schemes for solving Hamilton–Jacobi equations. To this end, we first discuss new smoothness indicators for WENO construction. Then the new smoothness indicators are combined with the mapping function developed by Henrick et al. (2005) [31]. The proposed scheme yields fifth-order accuracy in smooth regions and sharply resolve discontinuities in the derivatives. Numerical experiments are provided to demonstrate the performance of the proposed schemes on a variety of one-dimensional and two-dimensional problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 2, 15 October 2012, Pages 670–682
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 2, 15 October 2012, Pages 670–682
نویسندگان
Youngsoo Ha, Chang Ho Kim, Yeon Ju Lee, Jungho Yoon,