کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631556 | 1340625 | 2011 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A posteriori error analysis of the discontinuous finite element methods for first order hyperbolic problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A posteriori error analysis of the discontinuous finite element methods for first order hyperbolic problems A posteriori error analysis of the discontinuous finite element methods for first order hyperbolic problems](/preview/png/4631556.png)
چکیده انگلیسی
In this paper, we consider the a posteriori error analysis of discontinuous Galerkin finite element methods for the steady and nonsteady first order hyperbolic problems with inflow boundary conditions. We establish several residual-based a posteriori error estimators which provide global upper bounds and a local lower bound on the error. Further, for nonsteady problem, we construct a fully discrete discontinuous finite element scheme and derive the a posteriori error estimators which yield global upper bound on the error in time and space. Our a posteriori error analysis is based on the mesh-dependent a priori estimates for the first order hyperbolic problems. These a posteriori error analysis results can be applied to develop the adaptive discontinuous finite element methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 5, 1 November 2011, Pages 1752-1764
Journal: Applied Mathematics and Computation - Volume 218, Issue 5, 1 November 2011, Pages 1752-1764
نویسندگان
Tie Zhang, Nan Feng,