کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
837329 | 908335 | 2013 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The local discontinuous Galerkin finite element method for a class of convection–diffusion equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The local discontinuous Galerkin finite element method for a class of convection–diffusion equations The local discontinuous Galerkin finite element method for a class of convection–diffusion equations](/preview/png/837329.png)
چکیده انگلیسی
In this paper, we study the local discontinuous Galerkin (LDG) finite element method for solving a class of convection–diffusion equations with the first-kind boundary conditions. Based on the Hopf–Cole transformation, we transform the original equation into a linear heat equation with the same kind boundary conditions. Then the heat equation is solved by the LDG finite element method with a suitably chosen numerical flux. Theoretical analysis shows that this method is stable and has a (k+1)(k+1)-th order of convergence rate when the polynomials PkPk are used. Finally, numerical experiments for one-dimensional and two-dimensional convection–diffusion equations are given to confirm the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 14, Issue 1, February 2013, Pages 734–752
Journal: Nonlinear Analysis: Real World Applications - Volume 14, Issue 1, February 2013, Pages 734–752
نویسندگان
Wenjuan Wu, Xinlong Feng, Demin Liu,