کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10357791 | 867912 | 2005 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An adaptive method with rigorous error control for the Hamilton-Jacobi equations. Part II: The two-dimensional steady-state case
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An adaptive method with rigorous error control for the Hamilton-Jacobi equations. Part II: The two-dimensional steady-state case An adaptive method with rigorous error control for the Hamilton-Jacobi equations. Part II: The two-dimensional steady-state case](/preview/png/10357791.png)
چکیده انگلیسی
In this paper, we devise and study an adaptive method for finding approximations to the viscosity solution of Hamilton-Jacobi equations. The method, which is an extension to two space dimensions of a similar method previously proposed for one space dimension, is studied in the framework of steady-state Hamilton-Jacobi equations with periodic boundary conditions. It seeks numerical approximations whose Lâ-distance to the viscosity solution is no bigger than a prescribed tolerance. A thorough numerical study is carried out which shows that a strict error control is achieved and that the method exhibits an optimal computational complexity which does not depend on the value of the tolerance or on the type of Hamiltonian.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 209, Issue 2, 1 November 2005, Pages 391-405
Journal: Journal of Computational Physics - Volume 209, Issue 2, 1 November 2005, Pages 391-405
نویسندگان
Bernardo Cockburn, Bayram Yenikaya,